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Control strategies of a stochastic social obesity epidemic model in the region of Valencia, Spain

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Abstract

In this paper, we extend a social obesity epidemic model from a deterministic system to a stochastic differential equation by introducing white noise. We first present some preliminaries needed for later proof. Then, we demonstrate several theorems and their proofs. The existence of the global positive solution of the model is proved by using stochastic Lyapunov function. Furthermore, the solutions of model are stochastically ultimately bounded and permanent are also obtained and the sufficient condition for the existence of a unique ergodic stationary distribution is established by using Khasminskii’s theorem. Finally, the theoretical results are applied to study the target population of 24- to 65-year-old adult residents in the region of Valencia, Spain, and the influence of relevant parameters on the proportion of the three populations is further analyzed and the control strategy is explored.

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Funding

This study was funded by the National Natural Science Foundation of China(11971405) and the Fujian Provincial Natural science of China(2018J0141 8).

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Authors and Affiliations

  1. College of Mathematics and Statistics, Fujian Normal University, Qishan Campus, Fuzhou, 350117, China

    Zhewen Chen

  2. School of Science, Jimei University, Xiamen, Fujian, 361021, China

    Jiang Li, Chunjin Wei & Xiaohui Liu

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  1. Zhewen Chen
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  2. Jiang Li
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  3. Chunjin Wei
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  4. Xiaohui Liu
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Correspondence to Xiaohui Liu.

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Chen, Z., Li, J., Wei, C. et al. Control strategies of a stochastic social obesity epidemic model in the region of Valencia, Spain. J. Appl. Math. Comput. 69, 2059–2075 (2023). https://doi.org/10.1007/s12190-022-01754-7

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  • DOI: https://doi.org/10.1007/s12190-022-01754-7

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