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The awareness effect of the dynamical behavior of SIS epidemic model with Crowley-Martin incidence rate and holling type III treatment function

Publish place: International Journal of Nonlinear Analysis and Applications، Vol: 12، Issue: 2
Publish Year: 1400
Type: Journal paper
Language: English
View: 165

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Link to this Paper:
https://civilica.com/doc/1561164

Document National Code:

JR_IJNAA-12-2_084

Index date: 2 December 2022

The awareness effect of the dynamical behavior of SIS epidemic model with Crowley-Martin incidence rate and holling type III treatment function abstract

  This 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

The awareness effect of the dynamical behavior of SIS epidemic model with Crowley-Martin incidence rate and holling type III treatment function Keywords:

Infection Diseases , Treatment Function , Awareness Programs , Local Bifurcation , Crowley-Martin formula

The awareness effect of the dynamical behavior of SIS epidemic model with Crowley-Martin incidence rate and holling type III treatment function authors

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Ministry of Education, Rusafa/۱, Baghdad, Iraq

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Department of Mathematics, College of Science, Baghdad University, Baghdad, Iraq

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Centre Regional desMetiers de l’Education et de la Formation (CRMEF), ۲۰۳۴۰ Derb Ghalef, Casablanca, Morocco, & LAMS, Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, P.O Box ۷۹۵۵ Sidi Othman, Casablanca, Morocco