Bifurcation and stability of a diffusive SIRS epidemic model with time delay
Texas State University, Department of Mathematics
In this article, we study a reaction-diffusion system for a SIRS epidemic model with time delay and nonlinear incidence rate. On the one hand, we study the existence and stability of the disease-free equilibrium, endemic equilibria and Hopf bifurcation, by analyzing the characteristic equations. On the other hand, we establish formulas determining the direction and stability of the bifurcating periodic solutions.
Diffusion, SIR model, Basic reproduction number, Stability
Sounvoravong, B., Guo, S., & Bai, Y. (2019). Bifurcation and stability of a diffusive SIRS epidemic model with time delay. <i>Electronic Journal of Differential Equations, 2019</i>(45), pp. 1-16.