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On the dynamics of a Zika disease model with vector-bias 关于带有病媒偏见的寨卡疾病模型的动态变化
IF 2.2 3区 数学
International Journal of Biomathematics Pub Date : 2024-02-02 DOI: 10.1142/s1793524524500098
Mengjie Han, Junli Liu, Tailei Zhang
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引用次数: 0
Bifurcation and Dynamic Analysis of Prey-predator Model with Combined Nonlinear Harvesting 具有组合非线性收获功能的猎物-食肉动物模型的分岔和动态分析
IF 2.2 3区 数学
International Journal of Biomathematics Pub Date : 2024-02-02 DOI: 10.1142/s1793524524500104
Kshirod Sarkar, Biswajit Mondal
{"title":"Bifurcation and Dynamic Analysis of Prey-predator Model with Combined Nonlinear Harvesting","authors":"Kshirod Sarkar, Biswajit Mondal","doi":"10.1142/s1793524524500104","DOIUrl":"https://doi.org/10.1142/s1793524524500104","url":null,"abstract":"","PeriodicalId":49273,"journal":{"name":"International Journal of Biomathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139870858","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}
引用次数: 0
Final size of an n-group SEIR epidemic model with nonlinear incidence rate 具有非线性发病率的 n 组 SEIR 流行病模型的最终规模
IF 2.2 3区 数学
International Journal of Biomathematics Pub Date : 2024-02-02 DOI: 10.1142/s1793524524500086
Yi Lin, Huiping Zang, Sheng-yuan Liu
{"title":"Final size of an n-group SEIR epidemic model with nonlinear incidence rate","authors":"Yi Lin, Huiping Zang, Sheng-yuan Liu","doi":"10.1142/s1793524524500086","DOIUrl":"https://doi.org/10.1142/s1793524524500086","url":null,"abstract":"","PeriodicalId":49273,"journal":{"name":"International Journal of Biomathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139808844","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}
引用次数: 0
Final size of an n-group SEIR epidemic model with nonlinear incidence rate 具有非线性发病率的 n 组 SEIR 流行病模型的最终规模
IF 2.2 3区 数学
International Journal of Biomathematics Pub Date : 2024-02-02 DOI: 10.1142/s1793524524500086
Yi Lin, Huiping Zang, Sheng-yuan Liu
{"title":"Final size of an n-group SEIR epidemic model with nonlinear incidence rate","authors":"Yi Lin, Huiping Zang, Sheng-yuan Liu","doi":"10.1142/s1793524524500086","DOIUrl":"https://doi.org/10.1142/s1793524524500086","url":null,"abstract":"","PeriodicalId":49273,"journal":{"name":"International Journal of Biomathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139868736","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}
引用次数: 0
Bifurcation analysis and pattern formation of a delayed diffusive toxic-phytoplankton–zooplankton model 延迟扩散有毒浮游植物-浮游动物模型的分岔分析和模式形成
IF 2.2 3区 数学
International Journal of Biomathematics Pub Date : 2024-01-29 DOI: 10.1142/s1793524523501152
Ming Wu, Hongxing Yao
{"title":"Bifurcation analysis and pattern formation of a delayed diffusive toxic-phytoplankton–zooplankton model","authors":"Ming Wu, Hongxing Yao","doi":"10.1142/s1793524523501152","DOIUrl":"https://doi.org/10.1142/s1793524523501152","url":null,"abstract":"<p>This study considers a model which incorporates delays, diffusion and toxicity in a phytoplankton–zooplankton system. Initially, we analyze the global existence, asymptotic behavior and persistence of the solution. We then analyze the equilibria’s local stability and investigate the non-delayed system’s bifurcation phenomena, including Turing and Hopf bifurcations and their combination. Subsequently, we explore the effects of delays on bifurcation and the global stability of the system using Lyapunov functional, focusing on Hopf and Turing–Hopf bifurcations. Finally, we present numerical simulations to validate the theoretical results and verify the emergence of various spatial patterns in the system.</p>","PeriodicalId":49273,"journal":{"name":"International Journal of Biomathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140075191","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}
引用次数: 0
Dynamical behavior of a stochastic COVID-19 model with two Ornstein–Uhlenbeck processes and saturated incidence rates 具有两个 Ornstein-Uhlenbeck 过程和饱和发生率的 COVID-19 随机模型的动力学行为
IF 2.2 3区 数学
International Journal of Biomathematics Pub Date : 2024-01-24 DOI: 10.1142/s1793524523501085
Xiaoyu Li, Zhiming Li
{"title":"Dynamical behavior of a stochastic COVID-19 model with two Ornstein–Uhlenbeck processes and saturated incidence rates","authors":"Xiaoyu Li, Zhiming Li","doi":"10.1142/s1793524523501085","DOIUrl":"https://doi.org/10.1142/s1793524523501085","url":null,"abstract":"<p>According to the transmission characteristics of COVID-19, this paper proposes a stochastic SAIRS epidemic model with two mean reversion Ornstein–Uhlenbeck processes and saturated incidence rates. We first prove the existence and uniqueness of the global solution in the stochastic model. Using several suitable Lyapunov methods, we then derive the extinction and persistence of COVID-19 under certain conditions. Further, stationary distribution and ergodic properties are obtained. Moreover, we obtain the probability density function of the stochastic model around the equilibrium. Numerical simulations illustrate our theoretical results and the effect of essential parameters. Finally, we apply the model to investigate the latest outbreak of the COVID-19 epidemic in Guangzhou city, China.</p>","PeriodicalId":49273,"journal":{"name":"International Journal of Biomathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140075135","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}
引用次数: 0
Modelling the effects of media information and saturated treatment on malaria disease with NSFD method 用 NSFD 方法模拟媒体信息和饱和治疗对疟疾疾病的影响
IF 2.2 3区 数学
International Journal of Biomathematics Pub Date : 2024-01-19 DOI: 10.1142/s1793524524500013
Tapan Sarkar, Pankaj Biswas, Prashant K. Srivastava
{"title":"Modelling the effects of media information and saturated treatment on malaria disease with NSFD method","authors":"Tapan Sarkar, Pankaj Biswas, Prashant K. Srivastava","doi":"10.1142/s1793524524500013","DOIUrl":"https://doi.org/10.1142/s1793524524500013","url":null,"abstract":"","PeriodicalId":49273,"journal":{"name":"International Journal of Biomathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139524487","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}
引用次数: 0
Study on symptomatic and asymptomatic transmissions of COVID-19 including flip bifurcation 对 COVID-19 的无症状和无症状传播（包括翻转分叉）的研究
IF 2.2 3区 数学
International Journal of Biomathematics Pub Date : 2024-01-19 DOI: 10.1142/s1793524524500025
Aqeel Ahmad, Qazi Muhammad Farooq, Hijaz Ahmad, D. Ozsahin, Fairouz Tchier, Abdul Ghaffar, Ghulam Mustafa
{"title":"Study on symptomatic and asymptomatic transmissions of COVID-19 including flip bifurcation","authors":"Aqeel Ahmad, Qazi Muhammad Farooq, Hijaz Ahmad, D. Ozsahin, Fairouz Tchier, Abdul Ghaffar, Ghulam Mustafa","doi":"10.1142/s1793524524500025","DOIUrl":"https://doi.org/10.1142/s1793524524500025","url":null,"abstract":"","PeriodicalId":49273,"journal":{"name":"International Journal of Biomathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139612625","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}
引用次数: 0
Dynamics of a stage-structured insect-vegetable crop interaction model with maturation delay 具有成熟延迟的阶段结构昆虫与蔬菜作物相互作用模型的动态变化
IF 2.2 3区 数学
International Journal of Biomathematics Pub Date : 2024-01-19 DOI: 10.1142/s1793524524500037
A. K. Misra, Akash Yadav
{"title":"Dynamics of a stage-structured insect-vegetable crop interaction model with maturation delay","authors":"A. K. Misra, Akash Yadav","doi":"10.1142/s1793524524500037","DOIUrl":"https://doi.org/10.1142/s1793524524500037","url":null,"abstract":"","PeriodicalId":49273,"journal":{"name":"International Journal of Biomathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139613007","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}
引用次数: 0
Global stability analysis of an epidemic model with feedback control and general incidence rate 具有反馈控制和一般发病率的流行病模型的全局稳定性分析
IF 2.2 3区 数学
International Journal of Biomathematics Pub Date : 2024-01-19 DOI: 10.1142/s1793524524500050
Lin-Lin Wang, Yong-Hong Fan
{"title":"Global stability analysis of an epidemic model with feedback control and general incidence rate","authors":"Lin-Lin Wang, Yong-Hong Fan","doi":"10.1142/s1793524524500050","DOIUrl":"https://doi.org/10.1142/s1793524524500050","url":null,"abstract":"","PeriodicalId":49273,"journal":{"name":"International Journal of Biomathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139524764","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}
引用次数: 0
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