. In this work, we present a fractional dynamic model to describe the spread of Hepatitis B disease in human population under influence of campaign and treatment parameters. It was shown that the stability of disease-free equilibrium and disease endemic equilibrium depend on the basic reproduction number. These results are in accordance with the epidemic theory. A numerical example is given to demonstrate the validity of the results. The results show that the media campaigns and treatment increase susceptible subpopulations, reduce infectious ones, and increase recovered subpopulations, thus the model gives adequate information about the spread of the Hepatitis B virus.
{"title":"A Fractional dynamics model of hepatitis B disease spread under influence of campaign and treatment","authors":"Muhafzan","doi":"10.28919/cmbn/8085","DOIUrl":"https://doi.org/10.28919/cmbn/8085","url":null,"abstract":". In this work, we present a fractional dynamic model to describe the spread of Hepatitis B disease in human population under influence of campaign and treatment parameters. It was shown that the stability of disease-free equilibrium and disease endemic equilibrium depend on the basic reproduction number. These results are in accordance with the epidemic theory. A numerical example is given to demonstrate the validity of the results. The results show that the media campaigns and treatment increase susceptible subpopulations, reduce infectious ones, and increase recovered subpopulations, thus the model gives adequate information about the spread of the Hepatitis B virus.","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69245754","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
R. Pontoh, Soffy Mulyani, Salma Zhahira, Octavia Aulia Wiratama, Mohamad Naufal Farras, R. Arisanti
: Indonesia, a maritime nation whose ocean area exceeds its land area, has an abundance of ocean-based natural resources, such as fish, seaweed, coral reefs, and other marine organisms. The fisheries industry is one of the potential sources of extraordinary marine resources for the Indonesian economy. The annual increase or decrease in fish production in Indonesia can be attributed to several factors, including natural influences such as climate and ocean waves, inadequate management of marine resources, unequal distribution of facilities to support increased fish production in Indonesia, and the characteristics of areas that have a significant impact on the resulting fish production. Consequently, the objective of this research is to classify provinces in Indonesia using clustering analysis so that government policy programs can be more focused and directed according to the characteristics of the clusters formed. The application of cluster analysis was based on the development of fish production data for each province in Indonesia from 2017 to 2019 obtained from the website of the Central Statistics Agency (BPS). Clustering analysis using hierarchical and non-hierarchical methods produces a dendrogram using the average linkage DTW hierarchical method, indicating the formation of two optimal clusters. Non-hierarchical clustering with two clusters produces the
{"title":"Mapping Indonesian potential fishing zone using hierarchical and non-hierarchical clustering","authors":"R. Pontoh, Soffy Mulyani, Salma Zhahira, Octavia Aulia Wiratama, Mohamad Naufal Farras, R. Arisanti","doi":"10.28919/cmbn/8088","DOIUrl":"https://doi.org/10.28919/cmbn/8088","url":null,"abstract":": Indonesia, a maritime nation whose ocean area exceeds its land area, has an abundance of ocean-based natural resources, such as fish, seaweed, coral reefs, and other marine organisms. The fisheries industry is one of the potential sources of extraordinary marine resources for the Indonesian economy. The annual increase or decrease in fish production in Indonesia can be attributed to several factors, including natural influences such as climate and ocean waves, inadequate management of marine resources, unequal distribution of facilities to support increased fish production in Indonesia, and the characteristics of areas that have a significant impact on the resulting fish production. Consequently, the objective of this research is to classify provinces in Indonesia using clustering analysis so that government policy programs can be more focused and directed according to the characteristics of the clusters formed. The application of cluster analysis was based on the development of fish production data for each province in Indonesia from 2017 to 2019 obtained from the website of the Central Statistics Agency (BPS). Clustering analysis using hierarchical and non-hierarchical methods produces a dendrogram using the average linkage DTW hierarchical method, indicating the formation of two optimal clusters. Non-hierarchical clustering with two clusters produces the","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69245814","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Dengue fever is a significant global disease that is transmitted by female mosquitoes, specifically the Aedes aegypti and Aedes albopictus species. As part of efforts to control the spread of this disease, the use of mosquito repellent has emerged as an alternative. This research presents an analysis of the stability and optimal control of a dengue transmission model incorporating the use of mosquito repellent. Dynamical analysis conducted to see the impact of the control reproduction number on the stability of the equilibrium points. We find that due to the limited treatment resources, the condition of control reproduction number less than one is not enough to guarantee the disappearance of dengue from the population. Optimal control simulation conducted to see the impact of mosquito repellent intervention to reduce dengue effectively under some specific scenario.
{"title":"A stability and optimal control analysis on a dengue transmission model with mosquito repellent","authors":"","doi":"10.28919/cmbn/8134","DOIUrl":"https://doi.org/10.28919/cmbn/8134","url":null,"abstract":"Dengue fever is a significant global disease that is transmitted by female mosquitoes, specifically the Aedes aegypti and Aedes albopictus species. As part of efforts to control the spread of this disease, the use of mosquito repellent has emerged as an alternative. This research presents an analysis of the stability and optimal control of a dengue transmission model incorporating the use of mosquito repellent. Dynamical analysis conducted to see the impact of the control reproduction number on the stability of the equilibrium points. We find that due to the limited treatment resources, the condition of control reproduction number less than one is not enough to guarantee the disappearance of dengue from the population. Optimal control simulation conducted to see the impact of mosquito repellent intervention to reduce dengue effectively under some specific scenario.","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135497817","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The object of this work is to analyze the dynamical behavior of an SIQR epidemic model incorporating the mean-reverting inhomogeneous geometric Brownian motion process (IGBM for short). As a first step, we prove that a global-in-time solution exists, and we show equally that it is unique and positive. Then, we find out an appropriate hypothetical framework leading to the existence of an ergodic stationary distribution. After that, we provide certain sufficient conditions for the disease’s exponential extinction, and we show that they match those of the deterministic version in this case. Finally, we outline some numerical simulation examples to back up our theoretical outcomes.
{"title":"Asymptotic comportment of a stochastic SIQR model with mean-reverting inhomogeneous geometric Brownian motion","authors":"","doi":"10.28919/cmbn/8195","DOIUrl":"https://doi.org/10.28919/cmbn/8195","url":null,"abstract":"The object of this work is to analyze the dynamical behavior of an SIQR epidemic model incorporating the mean-reverting inhomogeneous geometric Brownian motion process (IGBM for short). As a first step, we prove that a global-in-time solution exists, and we show equally that it is unique and positive. Then, we find out an appropriate hypothetical framework leading to the existence of an ergodic stationary distribution. After that, we provide certain sufficient conditions for the disease’s exponential extinction, and we show that they match those of the deterministic version in this case. Finally, we outline some numerical simulation examples to back up our theoretical outcomes.","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135107771","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Potato virus Y (PVY) is one of the most common widespread vector-borne transmission diseases through aphids. In recent years, biologists have focused on the effect of vector preference to the spread of PVY. In this paper, according to transmission mechanism of PVY, a mathematical model of a vector-borne disease including preference behavior and vertical transmission of vector is formulated. The basic reproduction number R0 is calculated by using the next generation matrix method. The existence of a backward bifurcation presents a further sub-threshold condition below R0 for the spread of the disease by theoretical and numerical analysis. Numerical simulations suggest that vector preference plays an important role in the spread of PVY.
{"title":"Analysis of a vector preference model for potato virus Y transmission","authors":"","doi":"10.28919/cmbn/8160","DOIUrl":"https://doi.org/10.28919/cmbn/8160","url":null,"abstract":"Potato virus Y (PVY) is one of the most common widespread vector-borne transmission diseases through aphids. In recent years, biologists have focused on the effect of vector preference to the spread of PVY. In this paper, according to transmission mechanism of PVY, a mathematical model of a vector-borne disease including preference behavior and vertical transmission of vector is formulated. The basic reproduction number R0 is calculated by using the next generation matrix method. The existence of a backward bifurcation presents a further sub-threshold condition below R0 for the spread of the disease by theoretical and numerical analysis. Numerical simulations suggest that vector preference plays an important role in the spread of PVY.","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135914517","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Muhafzan, Narwen Ahmad Iqbal Baqi Zulakmal, A. G. Lestari, M. Oktaviani
. This work presents a fractional SITR mathematical model that investigates the Tuberculosis (TB) spread in a human population. It was shown that disease-free and endemic equilibrium stability depended on the basic reproduction number. These results are in accordance with the epidemic theory. A numerical example is given to demonstrate the validity of the results. The results show that the infected subpopulation increases in the absence of special treatment
{"title":"A fractional SITR model for dynamic of tuberculosis spread","authors":"Muhafzan, Narwen Ahmad Iqbal Baqi Zulakmal, A. G. Lestari, M. Oktaviani","doi":"10.28919/cmbn/7864","DOIUrl":"https://doi.org/10.28919/cmbn/7864","url":null,"abstract":". This work presents a fractional SITR mathematical model that investigates the Tuberculosis (TB) spread in a human population. It was shown that disease-free and endemic equilibrium stability depended on the basic reproduction number. These results are in accordance with the epidemic theory. A numerical example is given to demonstrate the validity of the results. The results show that the infected subpopulation increases in the absence of special treatment","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69239041","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
. The current investigation focuses on the dynamics of a discrete-time predator-prey system with additive Allee effect. Discretization is accomplished by the use of a piecewise constant argument approach of differential equations. Firstly, we studied the existence and topological classification of equilibrium points. We then investigated existence and direction of period-doubling and Neimark-Sacker bifurcations in the system. Moreover, to control the chaos caused by bifurcation, we employ a hybrid control technique. Finally, all theoretical results are justified numerically
{"title":"Stability, bifurcation, and chaos control of predator-prey system with additive Allee effect","authors":"R. Ahmed, S. Akhtar, U. Farooq, S. Ali","doi":"10.28919/cmbn/7824","DOIUrl":"https://doi.org/10.28919/cmbn/7824","url":null,"abstract":". The current investigation focuses on the dynamics of a discrete-time predator-prey system with additive Allee effect. Discretization is accomplished by the use of a piecewise constant argument approach of differential equations. Firstly, we studied the existence and topological classification of equilibrium points. We then investigated existence and direction of period-doubling and Neimark-Sacker bifurcations in the system. Moreover, to control the chaos caused by bifurcation, we employ a hybrid control technique. Finally, all theoretical results are justified numerically","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69239113","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Sifriyani, AR Rum, Mia Sari, Andrea Tri, Rian Dani, S. Jalaluddin
: This article discusses statistical modeling implemented in the health sector. This study used a bi-response nonparametric regression method with truncated spline estimation that used two response variables. The nonparametric regression method is used when the regression curve is not known for its shape and pattern. This study aims to model the blood sugar levels of people with diabetes mellitus. The data used are blood sugar levels of people with diabetes mellitus before fasting, blood sugar levels of people with diabetes mellitus two hours after fasting, cholesterol levels, and triglyceride levels. Determination of the optimal knot point using Generalized Cross-Validation. The parameter estimation method used is Weighted Least-Squares. The best model was obtained from the study results,
{"title":"Bi-response truncated spline nonparametric regression with optimal knot point selection using generalized cross-validation in diabetes mellitus patient's blood sugar levels","authors":"Sifriyani, AR Rum, Mia Sari, Andrea Tri, Rian Dani, S. Jalaluddin","doi":"10.28919/cmbn/7903","DOIUrl":"https://doi.org/10.28919/cmbn/7903","url":null,"abstract":": This article discusses statistical modeling implemented in the health sector. This study used a bi-response nonparametric regression method with truncated spline estimation that used two response variables. The nonparametric regression method is used when the regression curve is not known for its shape and pattern. This study aims to model the blood sugar levels of people with diabetes mellitus. The data used are blood sugar levels of people with diabetes mellitus before fasting, blood sugar levels of people with diabetes mellitus two hours after fasting, cholesterol levels, and triglyceride levels. Determination of the optimal knot point using Generalized Cross-Validation. The parameter estimation method used is Weighted Least-Squares. The best model was obtained from the study results,","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69239219","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
. Medical treatment, vaccination, and quarantine are the most efficacious controls in preventing the spread of contagious epidemics such as COVID-19. In this paper, we demonstrate the global stability of the endemic and disease-free equilibrium by using the Lyapunov function. Moreover, we apply the three measures to minimize the density of infected people and also reduce the cost of controls. Furthermore, we use the Pontryagin Minimum Principle in order to characterize the optimal controls. Finally, we execute some numerical simulations to approve and verify our theoretical results using the fourth order Runge-Kutta approximation through Matlab
{"title":"Optimal control and global stability of the SEIQRS epidemic model","authors":"M. Azoua, A. Azouani, I. Hafidi","doi":"10.28919/cmbn/7880","DOIUrl":"https://doi.org/10.28919/cmbn/7880","url":null,"abstract":". Medical treatment, vaccination, and quarantine are the most efficacious controls in preventing the spread of contagious epidemics such as COVID-19. In this paper, we demonstrate the global stability of the endemic and disease-free equilibrium by using the Lyapunov function. Moreover, we apply the three measures to minimize the density of infected people and also reduce the cost of controls. Furthermore, we use the Pontryagin Minimum Principle in order to characterize the optimal controls. Finally, we execute some numerical simulations to approve and verify our theoretical results using the fourth order Runge-Kutta approximation through Matlab","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69239509","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Network clustering method for preventing the spread of COVID-19 in Indonesian schools","authors":"Mokhammad Ridwan, Yudhanegara, Karunia","doi":"10.28919/cmbn/7922","DOIUrl":"https://doi.org/10.28919/cmbn/7922","url":null,"abstract":",","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69239701","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：