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Bifurcations of a discrete-time SIR epidemic model with logistic growth of the susceptible individuals
《International Journal of Biomathematics》2023年第6期289-312,共24页Z.Eskandari R.Khoshsiar Ghaziani Z.Avazzadeh 
This study focuses on the stability and local bifurcations of a discrete-time SIR epidemic model with logistic growth of the susceptible individuals analytically,and numerically.The analytical results are obtained usi...
关键词：SIR epidemic model stability bifurcation critical normal form coefficient numerical continuation method 
Stability analysis of an SIR epidemic model with homestead-isolation on the susceptible and infectious,immunity,relapse and general incidence rate
《International Journal of Biomathematics》2023年第5期1-22,共22页Amine Bernoussi 
In this paper,we propose the global dynamics of an SIR epidemic model with distributed latent period,immunity,relapse,homestead-isolation of the susceptible and infectious individuals and general incidence rate.The re...
关键词：An SIR epidemic model homestead-isolation on the susceptible and infectious Lyapunov function LaSalle's invariance principle global stability. 
Optimal vaccination strategy for a mean-field stochastic susceptible-infected-vaccinated system
《International Journal of Biomathematics》2023年第1期1-27,共27页Zong Wang Qimin Zhang 
The parameters of biological system may change under the influence of different states or state processes.The change of parameters can also affect the dynamic behaviors of epidemic disease.This paper presents a mean f...
关键词：Mean-field stochastic differential equation stochastic maximum principle SIV epidemic model variational inequality sufficient and necessary conditions. 
Stochastic epidemic dynamics based on the association between susceptible and recovered individuals
《International Journal of Biomathematics》2021年第1期31-50,共20页Luyao Xin Yingxin Guo Quanxin Zhu 
This work was supported financially by the Natural Science Foundation of Shandong Province under Grant No.ZR2017MA045.
In this paper,we propose a new mathematical model based on the association between susceptible and recovered individual.Then,we study the stability of this model with the deterministic case and obtain the conditions f...
关键词：EXTINCTION permanence in mean STABILITY stochastic epidemic model 
An SI integrated pest management model with pesticide resistance to susceptible pests被引量：1
《International Journal of Biomathematics》2020年第5期125-147,共23页Jinyang Li Qingdao Huang Bing Liu 
This work was supported by the National Natural Science Foundation of China(11371030);the Natural Science Foundation of Liaoning Province(20170540001)。
In this paper,epidemnic diseases among pests are assumed to occur,so pests are divided into susceptible pests and infected pests,and only susceptible pests are harmful to crops.Considering spraying pesticides and rele...
关键词：Pest management model eradication of susceptible pests global attractive-ness pest resistance pest control strategies 
Study on a susceptible—infec ted—vaccina ted model with delay and proportional vaccination被引量：1
《International Journal of Biomathematics》2018年第8期131-149,共19页Shuqi Gan Fengying Wei 
A susceptible-infected-vaccinated epidemic model with proportional vaccination and generalized nonlinear rate is formulated and investigated in the paper. We show that the stochastic epidemic model admits a unique and...
关键词：Stochastic EPIDEMIC MODEL DELAY extinction PERSISTENCE in the mean 
The asymptotic behavior of a stochastic multigroup SIS model被引量：1
《International Journal of Biomathematics》2018年第3期115-130,共16页Chunyan Ji Daqing Jiang 
The authors are grateflfl to tile anonymous referees for carefully reading the manuscript and for important snggestions and comments, which led to the improvement of their manuscript. This research is supported by NSFC grant 11601043, China Postdoctoral Science Foundation （Grant No. 2016M590243）, Jiangsu Province ＂333 High-Level Personnel Training Project＂ （Grant No. BRA2017468） and Qing Lan Project of Jiangsu Province of 2016 and 2017.
In this paper, we explore the long time behavior of a multigroup Susceptible-Infected Susceptible （SIS） model with stochastic perturbations. The conditions for the disease to die out are obtained. Besides, we also s...
关键词：A multigroup Susceptible-Infected-Susceptible （SIS） model disease free equilibrium endemic equilibrium exponential stability prevail stationary distribution. 
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