A stochastic epidemic model with individual heterogeneity and mean-reverting Ornstein–Uhlenbeck process
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Published:2024-05-27
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ISSN:1793-5245
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Container-title:International Journal of Biomathematics
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language:en
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Short-container-title:Int. J. Biomath.
Author:
Song Jiacheng1ORCID,
Lv Wangyong1ORCID,
Yang Xiaofeng1ORCID,
Zhang Ce1ORCID
Affiliation:
1. School of Mathematical Science, Sichuan Normal University, Chengdu 610066, P. R. China
Abstract
The objective of this study is to investigate a stochastic SIR epidemic model incorporating a mean-reverting Ornstein–Uhlenbeck process and individual heterogeneity. Initially, we establish the global existence and positivity of a solution within the model through the application of Lyapunov functions. Subsequently, we delve into the dynamical behavior of the SIR model. Our research reveals that increased noise intensity, a slower reversion rate, and positive individual behavior collaboratively contribute to the mitigation of infection outbreaks.
Funder
National Natural Science Foundation of China
Sichuan Federation of Social Science Associations
Sichuan Science and Technology Department
Specialized Project for Subject Construction of Sichuan Normal University
Publisher
World Scientific Pub Co Pte Ltd