Stability analysis of an SIR epidemic model with homestead-isolation on the susceptible and infectious,immunity,relapse and general incidence rate  

作　　者：Amine Bernoussi 

机构地区：[1]Equations au dérivees partielles,Algebre et Géométrie spectrales Department of Mathematics,Faculty of Science,Ibn Tofail University BP 133,14000 Kenitra,Morocco

出　　处：《International Journal of Biomathematics》2023年第5期1-22,共22页生物数学学报（英文版）

摘　　要：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 resulting model has a disease-free equilibrium and if Ro>1,then the SIR epidemic model admits a unique endemic equilibrium.By using suitable Lyapunov functionals and LaSalle's invariance principle,the global stability of the disease-free equilibrium and the endemic equilibrium is established,under suitable monotonicity conditions on the incidence function.

关 键 词：An SIR epidemic model homestead-isolation on the susceptible and infectious Lyapunov function LaSalle's invariance principle global stability. 

分 类 号：O17[理学—数学]