Author:
Rifhat Ramziya,Teng Zhidong,Wang Chunxia
Abstract
AbstractIn this paper, a stochastic SIRV epidemic model with general nonlinear incidence and vaccination is investigated. The value of our study lies in two aspects. Mathematically, with the help of Lyapunov function method and stochastic analysis theory, we obtain a stochastic threshold of the model that completely determines the extinction and persistence of the epidemic. Epidemiologically, we find that random fluctuations can suppress disease outbreak, which can provide us some useful control strategies to regulate disease dynamics. In other words, neglecting random perturbations overestimates the ability of the disease to spread. The numerical simulations are given to illustrate the main theoretical results.
Funder
Natural Science Foundation of Xinjiang Province
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference46 articles.
1. Capasso, V., Serio, G.: A generalization of the Kermack-McKendrick deterministic epidemic model. Math. Biosci. 42, 43–61 (1978)
2. Xiao, D., Ruan, S.: Global analysis of an epidemic model with nonmonotone incidence rate. Math. Biosci. 208, 419–429 (2007)
3. Kermack, W.O., Mckendrick, A.G.: Contributions to the mathematical theory of epidemics. Philos. Trans. R. Soc. A, Math. Phys. Eng. Sci. 115, 700–721 (1927)
4. Kermack, W.O., Mckendrick, A.G.: Contributions to the mathematical theory of epidemics. II. The problem of endemicity. Proc. R. Soc. Lond. Ser. A 138, 55–83 (1932)
5. Sene, N.: SIR epidemic model with Mittag-Leffler fractional derivative. Chaos Solitons Fractals 137, 109833 (2020)
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