Dynamic Behavior of a Stochastic Tungiasis Model for Public Health Education | Zendy

Lili Kong | Zendy; Luping Li | Zendy; Shugui Kang | Zendy; Youjun Liu | Zendy; Wenying Feng | Zendy

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Dynamic Behavior of a Stochastic Tungiasis Model for Public Health Education

Author(s) -

Lili Kong,

Luping Li,

Shugui Kang,

Youjun Liu,

Wenying Feng

Publication year - 2022

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2022/4927261

Subject(s) - uniqueness , ergodic theory , lyapunov function , epidemic model , extinction (optical mineralogy) , mathematics , persistence (discontinuity) , public health , function (biology) , mathematical economics , medicine , mathematical analysis , environmental health , biology , engineering , physics , population , paleontology , geotechnical engineering , nursing , quantum mechanics , nonlinear system , evolutionary biology

In this paper, we study the dynamic behavior of a stochastic tungiasis model for public health education. First, the existence and uniqueness of global positive solution of stochastic models are proved. Secondly, by constructing Lyapunov function and using It o ^ formula, sufficient conditions for disease extinction and persistence in the stochastic model are proved. Thirdly, under the condition of disease persistence, the existence and uniqueness of an ergodic stationary distribution of the model is obtained. Finally, the importance of public health education in preventing the spread of tungiasis is illustrated through the combination of theoretical results and numerical simulation.

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