A Stochastic SIR Epidemic System with a Nonlinear Relapse

Ali El Myr; Abdelaziz Assadouq; Lahcen Omari; Adel Settati; Aadil Lahrouz

doi:10.1155/2018/5493270

Discrete Dynamics in Nature and Society (Jan 2018)

A Stochastic SIR Epidemic System with a Nonlinear Relapse

Ali El Myr,
Abdelaziz Assadouq,
Lahcen Omari,
Adel Settati,
Aadil Lahrouz

Affiliations

Ali El Myr: Laboratory of Computer Sciences, Modeling and Systems, Department of Mathematics, Faculty of Sciences Dhar-Mehraz, B.P. 1796 Atlas, Fez, Morocco
Abdelaziz Assadouq: Laboratory of Mathematics and Applications, Department of Mathematics, Faculty of Sciences and Techniques, B.P. 416 Tanger Principale, Tanger, Morocco
Lahcen Omari: Laboratory of Computer Sciences, Modeling and Systems, Department of Mathematics, Faculty of Sciences Dhar-Mehraz, B.P. 1796 Atlas, Fez, Morocco
Adel Settati: Laboratory of Mathematics and Applications, Department of Mathematics, Faculty of Sciences and Techniques, B.P. 416 Tanger Principale, Tanger, Morocco
Aadil Lahrouz: Laboratory of Computer Sciences, Modeling and Systems, Department of Mathematics, Faculty of Sciences Dhar-Mehraz, B.P. 1796 Atlas, Fez, Morocco

DOI: https://doi.org/10.1155/2018/5493270
Journal volume & issue: Vol. 2018

Abstract

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We investigate the conditions that control the extinction and the existence of a unique stationary distribution of a nonlinear mathematical spread model with stochastic perturbations in a population of varying size with relapse. Numerical simulations are carried out to illustrate the theoretical results.

Published in Discrete Dynamics in Nature and Society

ISSN: 1026-0226 (Print); 1607-887X (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/3059

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