DYNAMICAL BEHAVIORS OF A NEW SIS EPIDEMIC
MODEL ON SCALE-FREE NETWORKS WITH
STOCHASTIC PERTURBATION
Meici Sun1, Qiming Liu2
1,2 Department of Scientific Culture
Shijiazhuang Branch
Army Engineering University of PLA
Shijiazhuang 050003, P. R. CHINA

Abstract

A new SIS epidemic model on scale-free networks with stochastic perturbation is considered. We deduce that dynamical behaviors of the model are related to the basic reproduction number $R_0$ of the corresponding deterministic model. Under the conditions that the intensities of white noises interference are sufficiently weak, the solution of the model oscillates around the disease-free equilibrium of the corresponding deterministic model when $R_0< 1$, whereas, the disease will be persistent when $R_0>1$.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 34
Issue: 5
Year: 2021

DOI: 10.12732/ijam.v34i5.8

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