{"title":"A simple modification to the classical SIR model to estimate the proportion of under-reported infections using case studies in flu and COVID-19","authors":"Leonid Kalachev, Jon Graham, E. Landguth","doi":"10.2139/ssrn.4774196","DOIUrl":"https://doi.org/10.2139/ssrn.4774196","url":null,"abstract":"","PeriodicalId":36831,"journal":{"name":"Infectious Disease Modelling","volume":null,"pages":null},"PeriodicalIF":8.8,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141391453","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-31DOI: 10.1016/j.idm.2024.05.009
Amin Abed , Mahmoud Torabi , Zeinab Mashreghi
In Canada, Gonorrhea infection ranks as the second most prevalent sexually transmitted infection. In 2018, Manitoba reported an incidence rate three times greater than the national average. This study aims to investigate the spatial, temporal, and spatio-temporal patterns of Gonorrhea infection in Manitoba, using individual-level laboratory-confirmed administrative data provided by Manitoba Health from 2000 to 2016. Age and sex patterns indicate that females are affected by infections at younger ages compared to males. Moreover, there is an increase in repeated infections in 2016, accounting for 16% of the total infections. Spatial analysis at the 96 Manitoba regional health authority districts highlights significant positive spatial autocorrelation, demonstrating a clustered distribution of the infection. Northern districts of Manitoba and central Winnipeg were identified as significant clusters. Temporal analysis shows seasonal patterns, with higher infections in late summer and fall. Additionally, spatio-temporal analysis reveals clusters during high-risk periods, with the most likely cluster in the northern districts of Manitoba from January 2006 to June 2014, and a secondary cluster in central Winnipeg from June 2004 to November 2012. This study identifies that Gonorrhea infection transmission in Manitoba has temporal, spatial, and spatio-temporal variations. The findings provide vital insights for public health and Manitoba Health by revealing high-risk clusters and emphasizing the need for focused and localized prevention, control measures, and resource allocation.
{"title":"Gonorrhea cluster detection in Manitoba, Canada: Spatial, temporal, and spatio-temporal analysis","authors":"Amin Abed , Mahmoud Torabi , Zeinab Mashreghi","doi":"10.1016/j.idm.2024.05.009","DOIUrl":"https://doi.org/10.1016/j.idm.2024.05.009","url":null,"abstract":"<div><p>In Canada, Gonorrhea infection ranks as the second most prevalent sexually transmitted infection. In 2018, Manitoba reported an incidence rate three times greater than the national average. This study aims to investigate the spatial, temporal, and spatio-temporal patterns of Gonorrhea infection in Manitoba, using individual-level laboratory-confirmed administrative data provided by Manitoba Health from 2000 to 2016. Age and sex patterns indicate that females are affected by infections at younger ages compared to males. Moreover, there is an increase in repeated infections in 2016, accounting for 16% of the total infections. Spatial analysis at the 96 Manitoba regional health authority districts highlights significant positive spatial autocorrelation, demonstrating a clustered distribution of the infection. Northern districts of Manitoba and central Winnipeg were identified as significant clusters. Temporal analysis shows seasonal patterns, with higher infections in late summer and fall. Additionally, spatio-temporal analysis reveals clusters during high-risk periods, with the most likely cluster in the northern districts of Manitoba from January 2006 to June 2014, and a secondary cluster in central Winnipeg from June 2004 to November 2012. This study identifies that Gonorrhea infection transmission in Manitoba has temporal, spatial, and spatio-temporal variations. The findings provide vital insights for public health and Manitoba Health by revealing high-risk clusters and emphasizing the need for focused and localized prevention, control measures, and resource allocation.</p></div>","PeriodicalId":36831,"journal":{"name":"Infectious Disease Modelling","volume":null,"pages":null},"PeriodicalIF":8.8,"publicationDate":"2024-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2468042724000757/pdfft?md5=f70e3a636e1a5271be627115b9d44f59&pid=1-s2.0-S2468042724000757-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141314038","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-23DOI: 10.1016/j.idm.2024.05.007
Francisco Antonio Bezerra Coutinho , Marcos Amaku , Fernanda Castro Boulos , José Alfredo de Sousa Moreira , João Italo Dias Franca , Julio Antonio do Amaral , Eliana Nogueira Castro de Barros , Claudio José Struchiner , Esper Jorge Kallas , Eduardo Massad
In this paper we examine several definitions of vaccine efficacy (VE) that we found in the literature, for diseases that express themselves in outbreaks, that is, when the force of infection grows in time, reaches a maximum and then vanishes. The fact that the disease occurs in outbreaks results in several problems that we analyse. We propose a mathematical model that allows the calculation of VE for several scenarios. Vaccine trials usually needs a large number of volunteers that must be enrolled. Ideally, all volunteers should be enrolled in approximately the same time, but this is generally impossible for logistic reasons and they are enrolled in a fashion that can be replaced by a continuous density function (for example, a Gaussian function). The outbreak can also be replaced by a continuous density function, and the use of these density functions simplifies the calculations. Assuming, for example Gaussian functions, one of the problems one can immediately notice is that the peak of the two curves do not occur at the same time. The model allows us to conclude: First, the calculated vaccine efficacy decreases when the force of infection increases; Second, the calculated vaccine efficacy decreases when the gap between the peak in the force of infection and the peak in the enrollment rate increases; Third, different trial protocols can be simulated with this model; different vaccine efficacy definitions can be calculated and in our simulations, all result are approximately the same. The final, and perhaps most important conclusion of our model, is that vaccine efficacy calculated during outbreaks must be carefully examined and the best way we can suggest to overcome this problem is to stratify the enrolled volunteer's in a cohort-by-cohort basis and do the survival analysis for each cohort, or apply the Cox proportional hazards model for each cohort.
{"title":"Analysing vaccine efficacy evaluated in phase 3 clinical trials carried out during outbreaks","authors":"Francisco Antonio Bezerra Coutinho , Marcos Amaku , Fernanda Castro Boulos , José Alfredo de Sousa Moreira , João Italo Dias Franca , Julio Antonio do Amaral , Eliana Nogueira Castro de Barros , Claudio José Struchiner , Esper Jorge Kallas , Eduardo Massad","doi":"10.1016/j.idm.2024.05.007","DOIUrl":"10.1016/j.idm.2024.05.007","url":null,"abstract":"<div><p>In this paper we examine several definitions of vaccine efficacy (VE) that we found in the literature, for diseases that express themselves in outbreaks, that is, when the force of infection grows in time, reaches a maximum and then vanishes. The fact that the disease occurs in outbreaks results in several problems that we analyse. We propose a mathematical model that allows the calculation of VE for several scenarios. Vaccine trials usually needs a large number of volunteers that must be enrolled. Ideally, all volunteers should be enrolled in approximately the same time, but this is generally impossible for logistic reasons and they are enrolled in a fashion that can be replaced by a continuous density function (for example, a Gaussian function). The outbreak can also be replaced by a continuous density function, and the use of these density functions simplifies the calculations. Assuming, for example Gaussian functions, one of the problems one can immediately notice is that the peak of the two curves do not occur at the same time. The model allows us to conclude: First, the calculated vaccine efficacy decreases when the force of infection increases; Second, the calculated vaccine efficacy decreases when the gap between the peak in the force of infection and the peak in the enrollment rate increases; Third, different trial protocols can be simulated with this model; different vaccine efficacy definitions can be calculated and in our simulations, all result are approximately the same. The final, and perhaps most important conclusion of our model, is that vaccine efficacy calculated during outbreaks must be carefully examined and the best way we can suggest to overcome this problem is to stratify the enrolled volunteer's in a cohort-by-cohort basis and do the survival analysis for each cohort, or apply the Cox proportional hazards model for each cohort.</p></div>","PeriodicalId":36831,"journal":{"name":"Infectious Disease Modelling","volume":null,"pages":null},"PeriodicalIF":8.8,"publicationDate":"2024-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2468042724000733/pdfft?md5=bf673cb5728d92d0037c548d36ece3d4&pid=1-s2.0-S2468042724000733-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141131586","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-21DOI: 10.1016/j.idm.2024.05.008
Andrew Omame , Qing Han , Sarafa A. Iyaniwura , Adeniyi Ebenezer , Nicola L. Bragazzi , Xiaoying Wang , Jude D. Kong , Woldegebriel A. Woldegerima
The recent mpox outbreak (in 2022–2023) has different clinical and epidemiological features compared with previous outbreaks of the disease. During this outbreak, sexual contact was believed to be the primary transmission route of the disease. In addition, the community of men having sex with men (MSM) was disproportionately affected by the outbreak. This population is also disproportionately affected by HIV infection. Given that both diseases can be transmitted sexually, the endemicity of HIV, and the high sexual behavior associated with the MSM community, it is essential to understand the effect of the two diseases spreading simultaneously in an MSM population. Particularly, we aim to understand the potential effects of HIV on an mpox outbreak in the MSM population. We develop a mechanistic mathematical model of HIV and mpox co-infection. Our model incorporates the dynamics of both diseases and considers HIV treatment with anti-retroviral therapy (ART). In addition, we consider a potential scenario where HIV infection increases susceptibility to mpox, and investigate the potential impact of this mechanism on mpox dynamics. Our analysis shows that HIV can facilitate the spread of mpox in an MSM population, and that HIV treatment with ART may not be sufficient to control the spread of mpox in the population. However, we showed that a moderate use of condoms or reduction in sexual contact in the population combined with ART is beneficial in controlling mpox transmission. Based on our analysis, it is evident that effective control of HIV, specifically through substantial ART use, moderate condom compliance, and reduction in sexual contact, is imperative for curtailing the transmission of mpox in an MSM population and mitigating the compounding impact of these intertwined epidemics.
最近(2022-2023 年)爆发的麻风腮与以往爆发的麻风腮相比,具有不同的临床和流行病学特征。在这次疫情中,性接触被认为是该疾病的主要传播途径。此外,男男性行为者(MSM)群体受到疫情的影响尤为严重。这一人群感染艾滋病毒的比例也特别高。鉴于这两种疾病都可以通过性传播、艾滋病病毒的流行以及男男性行为者群体的高性行为,了解这两种疾病同时在男男性行为者群体中传播的影响至关重要。特别是,我们的目标是了解艾滋病病毒对男男性行为人群中流行性疱疹爆发的潜在影响。我们建立了一个 HIV 和 mpox 共同感染的机理数学模型。我们的模型包含了这两种疾病的动态变化,并考虑了 HIV 的抗逆转录病毒疗法(ART)。此外,我们还考虑了 HIV 感染会增加对 mpox 易感性的潜在情况,并研究了这种机制对 mpox 动态的潜在影响。我们的分析表明,艾滋病病毒会促进痘疹在男男性行为人群中的传播,而通过抗逆转录病毒疗法治疗艾滋病病毒可能不足以控制痘疹在人群中的传播。然而,我们的研究表明,在人群中适度使用安全套或减少性接触与抗逆转录病毒疗法相结合,有利于控制痘病毒的传播。根据我们的分析,很明显,有效控制艾滋病毒,特别是通过大量使用抗逆转录病毒疗法、适度使用安全套和减少性接触,对于遏制麻疹在男男性行为者人群中的传播和减轻这些相互交织的流行病的复合影响至关重要。
{"title":"Understanding the impact of HIV on mpox transmission in the MSM population: A mathematical modeling study","authors":"Andrew Omame , Qing Han , Sarafa A. Iyaniwura , Adeniyi Ebenezer , Nicola L. Bragazzi , Xiaoying Wang , Jude D. Kong , Woldegebriel A. Woldegerima","doi":"10.1016/j.idm.2024.05.008","DOIUrl":"https://doi.org/10.1016/j.idm.2024.05.008","url":null,"abstract":"<div><p>The recent mpox outbreak (in 2022–2023) has different clinical and epidemiological features compared with previous outbreaks of the disease. During this outbreak, sexual contact was believed to be the primary transmission route of the disease. In addition, the community of men having sex with men (MSM) was disproportionately affected by the outbreak. This population is also disproportionately affected by HIV infection. Given that both diseases can be transmitted sexually, the endemicity of HIV, and the high sexual behavior associated with the MSM community, it is essential to understand the effect of the two diseases spreading simultaneously in an MSM population. Particularly, we aim to understand the potential effects of HIV on an mpox outbreak in the MSM population. We develop a mechanistic mathematical model of HIV and mpox co-infection. Our model incorporates the dynamics of both diseases and considers HIV treatment with anti-retroviral therapy (ART). In addition, we consider a potential scenario where HIV infection increases susceptibility to mpox, and investigate the potential impact of this mechanism on mpox dynamics. Our analysis shows that HIV can facilitate the spread of mpox in an MSM population, and that HIV treatment with ART may not be sufficient to control the spread of mpox in the population. However, we showed that a moderate use of condoms or reduction in sexual contact in the population combined with ART is beneficial in controlling mpox transmission. Based on our analysis, it is evident that effective control of HIV, specifically through substantial ART use, moderate condom compliance, and reduction in sexual contact, is imperative for curtailing the transmission of mpox in an MSM population and mitigating the compounding impact of these intertwined epidemics.</p></div>","PeriodicalId":36831,"journal":{"name":"Infectious Disease Modelling","volume":null,"pages":null},"PeriodicalIF":8.8,"publicationDate":"2024-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2468042724000745/pdfft?md5=e2f1e85ef09d13881efa2fb4d8a9e202&pid=1-s2.0-S2468042724000745-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141438335","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-15DOI: 10.1016/j.idm.2024.05.006
Alexandra Smirnova, Xiaojing Ye
We propose a versatile model with a flexible choice of control for an early-pandemic outbreak prevention when vaccine/drug is not yet available. At that stage, control is often limited to non-medical interventions like social distancing and other behavioral changes. For the SIR optimal control problem, we show that the running cost of control satisfying mild, practically justified conditions generates an optimal strategy, u(t), t ∈ [0, T], that is sustainable up until some moment τ ∈ [0, T). However, for any t ∈ [τ, T], the function u(t) will decline as t approaches T, which may cause the number of newly infected people to increase. So, the window from 0 to τ is the time for public health officials to prepare alternative mitigation measures, such as vaccines, testing, antiviral medications, and others. In addition to theoretical study, we develop a fast and stable computational method for solving the proposed optimal control problem. The efficiency of the new method is illustrated with numerical examples of optimal control trajectories for various cost functions and weights. Simulation results provide a comprehensive demonstration of the effects of control on the epidemic spread and mitigation expenses, which can serve as invaluable references for public health officials.
我们提出了一个灵活选择控制措施的多功能模型,用于在疫苗/药物尚未问世的情况下预防大流行病的早期爆发。在这一阶段,控制通常仅限于非医疗干预,如社会疏远和其他行为改变。对于 SIR 最佳控制问题,我们表明,满足温和、实际合理条件的控制运行成本会产生一个最佳策略 u(t),t ∈ [0, T],该策略可持续到某个时刻 τ∈ [0, T)。然而,对于任意 t∈ [τ, T],函数 u(t) 会随着 t 接近 T 而下降,这可能会导致新感染人数增加。因此,从 0 到 τ 的窗口期是公共卫生官员准备其他缓解措施的时间,如疫苗、检测、抗病毒药物等。除了理论研究,我们还开发了一种快速稳定的计算方法来解决所提出的最优控制问题。新方法的效率通过各种成本函数和权重的最优控制轨迹的数值示例来说明。模拟结果全面展示了控制对疫情传播和减灾支出的影响,可为公共卫生官员提供宝贵的参考。
{"title":"On optimal control at the onset of a new viral outbreak","authors":"Alexandra Smirnova, Xiaojing Ye","doi":"10.1016/j.idm.2024.05.006","DOIUrl":"https://doi.org/10.1016/j.idm.2024.05.006","url":null,"abstract":"<div><p>We propose a versatile model with a flexible choice of control for an early-pandemic outbreak prevention when vaccine/drug is not yet available. At that stage, control is often limited to non-medical interventions like social distancing and other behavioral changes. For the SIR optimal control problem, we show that the running cost of control satisfying mild, practically justified conditions generates an optimal strategy, <em>u</em>(<em>t</em>), <em>t</em> ∈ [0, <em>T</em>], that is sustainable up until some moment <em>τ</em> ∈ [0, <em>T</em>). However, for any <em>t</em> ∈ [<em>τ</em>, <em>T</em>], the function <em>u</em>(<em>t</em>) will decline as <em>t</em> approaches <em>T</em>, which may cause the number of newly infected people to increase. So, the window from 0 to <em>τ</em> is the time for public health officials to prepare alternative mitigation measures, such as vaccines, testing, antiviral medications, and others. In addition to theoretical study, we develop a fast and stable computational method for solving the proposed optimal control problem. The efficiency of the new method is illustrated with numerical examples of optimal control trajectories for various cost functions and weights. Simulation results provide a comprehensive demonstration of the effects of control on the epidemic spread and mitigation expenses, which can serve as invaluable references for public health officials.</p></div>","PeriodicalId":36831,"journal":{"name":"Infectious Disease Modelling","volume":null,"pages":null},"PeriodicalIF":8.8,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2468042724000721/pdfft?md5=5b1b4e071f72a65d370b1dd97514faf5&pid=1-s2.0-S2468042724000721-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141302667","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-15DOI: 10.1016/j.idm.2024.05.005
Gilberto González-Parra , Md Shahriar Mahmud , Claus Kadelka
As the world becomes ever more connected, the chance of pandemics increases as well. The recent COVID-19 pandemic and the concurrent global mass vaccine roll-out provides an ideal setting to learn from and refine our understanding of infectious disease models for better future preparedness. In this review, we systematically analyze and categorize mathematical models that have been developed to design optimal vaccine prioritization strategies of an initially limited vaccine. As older individuals are disproportionately affected by COVID-19, the focus is on models that take age explicitly into account. The lower mobility and activity level of older individuals gives rise to non-trivial trade-offs. Secondary research questions concern the optimal time interval between vaccine doses and spatial vaccine distribution. This review showcases the effect of various modeling assumptions on model outcomes. A solid understanding of these relationships yields better infectious disease models and thus public health decisions during the next pandemic.
{"title":"Learning from the COVID-19 pandemic: A systematic review of mathematical vaccine prioritization models","authors":"Gilberto González-Parra , Md Shahriar Mahmud , Claus Kadelka","doi":"10.1016/j.idm.2024.05.005","DOIUrl":"https://doi.org/10.1016/j.idm.2024.05.005","url":null,"abstract":"<div><p>As the world becomes ever more connected, the chance of pandemics increases as well. The recent COVID-19 pandemic and the concurrent global mass vaccine roll-out provides an ideal setting to learn from and refine our understanding of infectious disease models for better future preparedness. In this review, we systematically analyze and categorize mathematical models that have been developed to design optimal vaccine prioritization strategies of an initially limited vaccine. As older individuals are disproportionately affected by COVID-19, the focus is on models that take age explicitly into account. The lower mobility and activity level of older individuals gives rise to non-trivial trade-offs. Secondary research questions concern the optimal time interval between vaccine doses and spatial vaccine distribution. This review showcases the effect of various modeling assumptions on model outcomes. A solid understanding of these relationships yields better infectious disease models and thus public health decisions during the next pandemic.</p></div>","PeriodicalId":36831,"journal":{"name":"Infectious Disease Modelling","volume":null,"pages":null},"PeriodicalIF":8.8,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S246804272400071X/pdfft?md5=c88dc72214942c0cc94b190bad2caa28&pid=1-s2.0-S246804272400071X-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141323522","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-14DOI: 10.1016/j.idm.2024.05.004
Junyuan Yang , Sijin Wu , Xuezhi Li , Xiaoyan Wang , Xue-Song Zhang , Lu Hou
Parameter identification involves the estimation of undisclosed parameters within a system based on observed data and mathematical models. In this investigation, we employ DAISY to meticulously examine the structural identifiability of parameters of a within-host SARS-CoV-2 epidemic model, taking into account an array of observable datasets. Furthermore, Monte Carlo simulations are performed to offer a comprehensive practical analysis of model parameters. Lastly, sensitivity analysis is employed to ascertain that decreasing the replication rate of the SARS-CoV-2 virus and curbing the infectious period are the most efficacious measures in alleviating the dissemination of COVID-19 amongst hosts.
{"title":"Parameter identifiability of a within-host SARS-CoV-2 epidemic model","authors":"Junyuan Yang , Sijin Wu , Xuezhi Li , Xiaoyan Wang , Xue-Song Zhang , Lu Hou","doi":"10.1016/j.idm.2024.05.004","DOIUrl":"10.1016/j.idm.2024.05.004","url":null,"abstract":"<div><p>Parameter identification involves the estimation of undisclosed parameters within a system based on observed data and mathematical models. In this investigation, we employ DAISY to meticulously examine the structural identifiability of parameters of a within-host SARS-CoV-2 epidemic model, taking into account an array of observable datasets. Furthermore, Monte Carlo simulations are performed to offer a comprehensive practical analysis of model parameters. Lastly, sensitivity analysis is employed to ascertain that decreasing the replication rate of the SARS-CoV-2 virus and curbing the infectious period are the most efficacious measures in alleviating the dissemination of COVID-19 amongst hosts.</p></div>","PeriodicalId":36831,"journal":{"name":"Infectious Disease Modelling","volume":null,"pages":null},"PeriodicalIF":8.8,"publicationDate":"2024-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2468042724000708/pdfft?md5=a60b62df302e3207c3429329af64556f&pid=1-s2.0-S2468042724000708-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141049553","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-11DOI: 10.1016/j.idm.2024.05.001
Jinliang Wang , Wenjing Wu , Yuming Chen
We propose a malaria model involving the sensitive and resistant strains, which is described by reaction-diffusion equations. The model reflects the scenario that the vector and host populations disperse with distinct diffusion rates, susceptible individuals or vectors cannot be infected by both strains simultaneously, and the vector population satisfies the logistic growth. Our main purpose is to get a threshold type result on the model, especially the interaction effect of the two strains in the presence of spatial structure. To solve this issue, the basic reproduction number (BRN) and invasion reproduction number (IRN) of each strain (i = 1 and 2 are for the sensitive and resistant strains, respectively) are defined. Furthermore, we investigate the influence of the diffusion rates of populations and vectors on BRNs and IRNs.
{"title":"Analysis of a diffusive two-strain malaria model with the carrying capacity of the environment for mosquitoes","authors":"Jinliang Wang , Wenjing Wu , Yuming Chen","doi":"10.1016/j.idm.2024.05.001","DOIUrl":"10.1016/j.idm.2024.05.001","url":null,"abstract":"<div><p>We propose a malaria model involving the sensitive and resistant strains, which is described by reaction-diffusion equations. The model reflects the scenario that the vector and host populations disperse with distinct diffusion rates, susceptible individuals or vectors cannot be infected by both strains simultaneously, and the vector population satisfies the logistic growth. Our main purpose is to get a threshold type result on the model, especially the interaction effect of the two strains in the presence of spatial structure. To solve this issue, the basic reproduction number (BRN) <span><math><msubsup><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow><mrow><mi>i</mi></mrow></msubsup></math></span> and invasion reproduction number (IRN) <span><math><msubsup><mrow><mover><mrow><mi>R</mi></mrow><mo>ˆ</mo></mover></mrow><mrow><mn>0</mn></mrow><mrow><mi>i</mi></mrow></msubsup></math></span> of each strain (<em>i</em> = 1 and 2 are for the sensitive and resistant strains, respectively) are defined. Furthermore, we investigate the influence of the diffusion rates of populations and vectors on BRNs and IRNs.</p></div>","PeriodicalId":36831,"journal":{"name":"Infectious Disease Modelling","volume":null,"pages":null},"PeriodicalIF":8.8,"publicationDate":"2024-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2468042724000678/pdfft?md5=fb0fc1ecfc30af9ce9aecd52e9eddbe6&pid=1-s2.0-S2468042724000678-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141036420","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-10DOI: 10.1016/j.idm.2024.05.003
Maryam Rastegar , Eisa Nazar , Mahshid Nasehi , Saeed Sharafi , Vahid Fakoor , Mohammad Taghi Shakeri
Introduction
Tuberculosis (TB) is one of the most prevalent infectious diseases in the world, causing major public health problems in developing countries. The rate of TB incidence in Iran was estimated to be 13 per 100,000 in 2021. This study aimed to estimate the reproduction number and serial interval for pulmonary tuberculosis in Iran.
Material and methods
The present national historical cohort study was conducted from March 2018 to March 2022 based on data from the National Tuberculosis and Leprosy Registration Center of Iran's Ministry of Health and Medical Education (MOHME). The study included 30,762 tuberculosis cases and 16,165 new smear-positive pulmonary tuberculosis patients in Iran. We estimated the reproduction number of pulmonary tuberculosis in a Bayesian framework, which can incorporate uncertainty in estimating it. Statistical analyses were accomplished in R software.
Results
The mean age at diagnosis of patients was 52.3 ± 21.2 years, and most patients were in the 35–63 age group (37.1%). Among the data, 9121 (56.4%) cases were males, and 7044 (43.6%) were females. Among patients, 7459 (46.1%) had a delayed diagnosis between 1 and 3 months. Additionally, 3039 (18.8%) cases were non-Iranians, and 2978 (98%) were Afghans. The time-varying reproduction number for pulmonary tuberculosis disease was calculated at an average of 1.06 ± 0.05 (95% Crl 0.96–1.15).
Conclusions
In this study, the incidence and the time-varying reproduction number of pulmonary tuberculosis showed the same pattern. The mean of the time-varying reproduction number indicated that each infected person is causing at least one new infection over time, and the chain of transmission is not being disrupted.
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Pub Date : 2024-05-07DOI: 10.1016/j.idm.2024.05.002
J. Vanderlocht , S. Møgelmose , K. Van Kerckhove , P. Beutels , N. Hens
Non-communicable diseases (NCD) are the most important cause of death in the world. The socio-economic costs associated with NCDs makes it imperative to prevent and control them in the 21st century. The severe toll that the COVID-19 pandemic has taken worldwide is an unfortunate illustration of our limited insight into the infectious risk for the global population. Co-incidence between NCD and infection offers an underexplored opportunity to design preventive policies. In a pilot survey, we observed that the NCD population displays a substantial reduction in their social contacting behavior as compared to the general population. This indicates that existing mathematical models based on contact surveys in the general population are not applicable to the NCD population and that the risk of acquiring an infection following a contact is probably underestimated. Our demonstration of reduced social mixing in several chronic conditions, raises the question to what extent the social mixing is influenced by the burden of disease. We advocate the design of disease-specific contact surveys to address how the burden of disease associates with social contact behavior and the risk of infection. The SARS-CoV-2 pandemic offers an unprecedented opportunity to gain insight into the importance of infection in the NCD population and to find ways to improve healthcare procedures.
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