Research Communication | Open Access
Volume 2020 | Communication ID 160 |

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.