Title of article :
The awareness effect of the dynamical behavior of SIS epidemic model with Crowley-Martin incidence rate and holling type III treatment function
Author/Authors :
Mohsen, Ahmed A. Ministry of Education, Baghdad, Iraq , Fadhil Al-Husseiny, Hassan Department of Mathematics - College of Science - Baghdad University, Baghdad, Iraq , Hattaf, Khalid Centre Regional desMetiers de l’Education et de la Formation (CRMEF), Casablanca, Morocco
Abstract :
his article deals with the dynamical behaviors for a biological model of epidemic diseases with
holling type III treatment function. A Crowley-Martin formula to transmission of disease with
coverage media programs effect on the population are introduced and investigated. Through some
basic analyses, an explicit formula for the basic reproduction number of the model is calculated, and
some results such as the stability analysis and instability of all equilibrium points for the model are
established. The local bifurcation occurs near all equilibrium points for the model under some special
cases that are studied. The numerical simulations are executed to confirm the theoretical results
Keywords :
Infection Diseases , Treatment Function , Awareness Programs , Local Bifurcation , Crowley-Martin formula
Journal title :
International Journal of Nonlinear Analysis and Applications
