Stability analysis of delay seirepidemic model

Muhammad Altaf Khan, Ebenezer Bonyah, Shujaat Ali, Saeed Islam, Saima Naz Khan
2016 International Journal of Advanced and Applied Sciences  
This paper presents the analysis of SEIR epidemic model with time delay. We assumed that the susceptible individuals obey the logistic equation with saturated nonlinear incidence term with susceptible. The disease free equilibrium is stable locally asymptotically when < 1 and unstable equilibrium exists, when > 1. For > 1, the endemic equilibrium is stable locally as well as globally. Finally, the numerical solutions for the theoretical results are presented.
doi:10.21833/ijaas.2016.07.008 fatcat:r5xjfpqu7bhwxigpulofs7yyaa