Download This PaperDynamic Behavior of COVID-19 Model with Secondary Vaccination Driven by Mixed Noise
21 Pages Posted: 6 Dec 2022
Abstract
This paper mainly studies the dynamical behavior of the COVID-19 model driven by mixed noise. Firstly, we establish a stochastic model of COVID-19 based on secondary vaccination, white noise and Levy´ noise. Secondly, the existence and uniqueness of the global positive solution of the stochastic model are proved using the theory of stochastic differential equations and Lyapunov function, then the asymptotic behavior of the disease-free equilibrium point is studied. Thirdly, the sufficient conditions for the extinction of the disease are obtained and the analysis showed that different noise intensity could affect the extinction of infectious disease. Finally, the theoretical results are verified by numerical simulation.
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Funding Declaration: This work was supported by the grants from the National Natural Science Foundation of China (No. 11772002), Ningxia higher education first-class discipline construction funding project (NXYLXK2017B09), Major Special project of North Minzu University (No. ZDZX201902), Open project of The Key Laboratory of Intelligent Information and Big Data Processing of NingXia Province(No.2019KLBD008) and Postgraduate innovation project of North Minzu University(YCX22099).
Conflict of Interests: The authors declare there is no conflict of interest.
Keywords: COVID-19, Levy´ noise, Global positive solution, Asymptotic behavior, Disease extinction
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