STABILITY ANALYSIS OF A DELAYED SIR EPIDEMIC MODEL WITH DIFFUSION AND SATURATED INCIDENCE RATE
Abdelhadi Abta, Salahaddine Boutayeb, Hassan Laarabi, Mostafa Rachik
Academic Editor: Youssef EL FOUTAYENI
Received |
Accepted |
Published |
30 January 2020 |
14 February 2020 |
10 March 2020 |
Abstract: we investigate the effect of spatial diffusion and delay on the dynamical behavior of the SIR epidemic model. Next, by constructing an appropriate Lyapunov function and using upper-lower solution method, we determine the thresholdparameters which ensure the the global asymptotic stability of equilibria.