Stability Analysis of a Stochastic SIR Epidemic Model with Specific Nonlinear Incidence Rate-Reference-Cited by-同舟云学术

Stability Analysis of a Stochastic SIR Epidemic Model with Specific Nonlinear Incidence Rate

Published:2013-09-22 Issue: Volume:2013 Page:1-4
ISSN:2090-3332
Container-title:International Journal of Stochastic Analysis
language:en
Short-container-title:International Journal of Stochastic Analysis

Author:

Adnani Jihad¹^ORCID,Hattaf Khalid¹²^ORCID,Yousfi Noura¹^ORCID

Affiliation:

1. Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, Morocco

2. Centre Régional des Métiers de l'Education et de la Formation (CRMEF), Derb Ghalef, Casablanca, Morocco

Abstract

We investigate a stochastic SIR epidemic model with specific nonlinear incidence rate. The stochastic model is derived from the deterministic epidemic model by introducing random perturbations around the endemic equilibrium state. The effect of random perturbations on the stability behavior of endemic equilibrium is discussed. Finally, numerical simulations are presented to illustrate our theoretical results.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Modelling and Simulation,Statistics and Probability,Analysis

Link

http://downloads.hindawi.com/archive/2013/431257.pdf

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