Pub Date : 2023-05-12DOI: 10.1142/s1793524523500468
Peng Yang
{"title":"Oscillatory solutions in a 3D predation system with time delay and age structure","authors":"Peng Yang","doi":"10.1142/s1793524523500468","DOIUrl":"https://doi.org/10.1142/s1793524523500468","url":null,"abstract":"","PeriodicalId":49273,"journal":{"name":"International Journal of Biomathematics","volume":"48 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2023-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85303274","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-05-12DOI: 10.1142/s1793524523500481
Fangfang He, Huiyan Zhu
{"title":"Global dynamics of a tumor-immune model with an immune checkpoint inhibitor","authors":"Fangfang He, Huiyan Zhu","doi":"10.1142/s1793524523500481","DOIUrl":"https://doi.org/10.1142/s1793524523500481","url":null,"abstract":"","PeriodicalId":49273,"journal":{"name":"International Journal of Biomathematics","volume":"35 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2023-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81064579","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-04-26DOI: 10.1142/s1793524523500432
S. Kalabušić, E. Pilav
{"title":"The behavior of a host-parasitoid model with host logistic growth and proportional refuge","authors":"S. Kalabušić, E. Pilav","doi":"10.1142/s1793524523500432","DOIUrl":"https://doi.org/10.1142/s1793524523500432","url":null,"abstract":"","PeriodicalId":49273,"journal":{"name":"International Journal of Biomathematics","volume":"9 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2023-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81214298","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-04-26DOI: 10.1142/s1793524523500444
Shivam Mangal, O. P. Misra, J. Dhar
In this paper, an SIRS epidemic model using Grunwald–Letnikov fractional-order derivative is formulated with the help of a nonlinear system of fractional differential equations to analyze the effects of fear in the population during the outbreak of deadly infectious diseases. The criteria for the spread or extinction of the disease are derived and discussed on the basis of the basic reproduction number. The condition for the existence of Hopf bifurcation is discussed considering fractional order as a bifurcation parameter. Additionally, using the Grunwald–Letnikov approximation, the simulation is carried out to confirm the validity of analytic results graphically. Using the real data of COVID-19 in India recorded during the second wave from 15 May 2021 to 15 December 2021, we estimate the model parameters and find that the fractional-order model gives the closer forecast of the disease than the classical one. Both the analytical results and numerical simulations presented in this study suggest different policies for controlling or eradicating many infectious diseases. [ FROM AUTHOR] Copyright of International Journal of Biomathematics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full . (Copyright applies to all s.)
{"title":"SIRS Epidemic Modelling Using Fractional-ordered Differential Equations: Role of Fear effect","authors":"Shivam Mangal, O. P. Misra, J. Dhar","doi":"10.1142/s1793524523500444","DOIUrl":"https://doi.org/10.1142/s1793524523500444","url":null,"abstract":"In this paper, an SIRS epidemic model using Grunwald–Letnikov fractional-order derivative is formulated with the help of a nonlinear system of fractional differential equations to analyze the effects of fear in the population during the outbreak of deadly infectious diseases. The criteria for the spread or extinction of the disease are derived and discussed on the basis of the basic reproduction number. The condition for the existence of Hopf bifurcation is discussed considering fractional order as a bifurcation parameter. Additionally, using the Grunwald–Letnikov approximation, the simulation is carried out to confirm the validity of analytic results graphically. Using the real data of COVID-19 in India recorded during the second wave from 15 May 2021 to 15 December 2021, we estimate the model parameters and find that the fractional-order model gives the closer forecast of the disease than the classical one. Both the analytical results and numerical simulations presented in this study suggest different policies for controlling or eradicating many infectious diseases. [ FROM AUTHOR] Copyright of International Journal of Biomathematics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full . (Copyright applies to all s.)","PeriodicalId":49273,"journal":{"name":"International Journal of Biomathematics","volume":"40 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2023-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76367038","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Hopf bifurcation in a delayed prey-predator model with prey refuge involving fear effect","authors":"Ankit Parwaliya, Anuraj Singh, Ajay Mahaputra Kumar","doi":"10.1142/s1793524523500420","DOIUrl":"https://doi.org/10.1142/s1793524523500420","url":null,"abstract":"","PeriodicalId":49273,"journal":{"name":"International Journal of Biomathematics","volume":"26 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2023-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76687749","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-04-20DOI: 10.1142/s1793524523500419
A. Abdullahi, M. H. Mohd
{"title":"Dynamics of Caputo Fractional-Order SIRV Model: The Effects of Imperfect Vaccination on Disease Transmission","authors":"A. Abdullahi, M. H. Mohd","doi":"10.1142/s1793524523500419","DOIUrl":"https://doi.org/10.1142/s1793524523500419","url":null,"abstract":"","PeriodicalId":49273,"journal":{"name":"International Journal of Biomathematics","volume":" 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2023-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72377571","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-04-15DOI: 10.1142/s1793524523500390
Hatice Karakaya, S. Kartal, I. Ozturk
{"title":"Qualitative behaviour of discrete-time Caputo-Fabrizio Logistic model with Allee effect","authors":"Hatice Karakaya, S. Kartal, I. Ozturk","doi":"10.1142/s1793524523500390","DOIUrl":"https://doi.org/10.1142/s1793524523500390","url":null,"abstract":"","PeriodicalId":49273,"journal":{"name":"International Journal of Biomathematics","volume":"65 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2023-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81095703","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-04-15DOI: 10.1142/s1793524523500341
Renhu Wang, Xuezhong Wang
{"title":"Spatial dynamics of a reaction-diffusion SIS epidemic model with mass-action-type nonlinearity","authors":"Renhu Wang, Xuezhong Wang","doi":"10.1142/s1793524523500341","DOIUrl":"https://doi.org/10.1142/s1793524523500341","url":null,"abstract":"","PeriodicalId":49273,"journal":{"name":"International Journal of Biomathematics","volume":"23 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2023-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90793173","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-04-15DOI: 10.1142/s1793524523500353
S. Isik, Fi̇gen Kangalgi̇l
{"title":"Dynamical analysis and chaos control of a fractional-order Leslie type predator-prey model with Caputo derivative","authors":"S. Isik, Fi̇gen Kangalgi̇l","doi":"10.1142/s1793524523500353","DOIUrl":"https://doi.org/10.1142/s1793524523500353","url":null,"abstract":"","PeriodicalId":49273,"journal":{"name":"International Journal of Biomathematics","volume":"1 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2023-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91321115","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}