Dynamic Behavior of a Stochastic Tungiasis Model for Public Health Education. (12th March 2022)

• Record Type: Journal Article
• Authors: Kong, Lili; Li, Luping; Kang, Shugui; Liu, Youjun; Feng, Wenying
• Other Names: Al Basir Fahad Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2022(2022)
• Publication Date: 2022-03-12
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2022/4927261
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : 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 Ito ^ 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.