Modeling the transmission dynamics of a time-delayed epidemic model with saturated treatment rate  

作　　者：Ranjit Kumar Upadhyay Sattwika Acharya 

机构地区：[1]Department of Mathematics&Computing Indian Institute of Technology(Indian School of Mines)Dhanbad Jharkhand-826004,India

出　　处：《International Journal of Biomathematics》2023年第7期11-45,共35页生物数学学报（英文版）

摘　　要：In this paper,an attempt has been made to explore a new delayed epidemiological model assuming that the disease is transmitted among the susceptible population and possessing nonlinear incidence function along with a saturated treatment rate.Due attention is paid to the positivity and boundedness of the solutions and the bifurcation of the dynamical system as well.Basic reproduction number is being calculated,and considering the latent period as a bifurcation parameter,it has been examined that a Hopf-bifurcation occurs near the endemic equilibrium point while the parameter attains critical values.We have also discussed the stability and direction of Hopf-bifurcation near the endemic equilibrium point,the global stability analysis and the optimal control theory.We conclude that the system reveals chaotic dynamics through a specific time-delay value.Numerical simulations are being performed in order to explain the accuracy and effectiveness of the acquired theoretical results.

关 键 词：Infectious disease treatment rate chaotic dynamics bifurcation theory incidence function transmission dynamics global stability optimal control 

分 类 号：O175[理学—数学]