Dynamic Behavior of a Stochastic Tungiasis Model for Public Health Education
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 dis...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2022/4927261 |
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| _version_ | 1832563924145274880 |
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| author | Lili Kong Luping Li Shugui Kang Youjun Liu Wenying Feng |
| author_facet | Lili Kong Luping Li Shugui Kang Youjun Liu Wenying Feng |
| author_sort | Lili Kong |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-7dd0dbb0b3884fdab54cefa43c93a9ac |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-7dd0dbb0b3884fdab54cefa43c93a9ac2025-02-03T01:12:13ZengWileyDiscrete Dynamics in Nature and Society1607-887X2022-01-01202210.1155/2022/4927261Dynamic Behavior of a Stochastic Tungiasis Model for Public Health EducationLili Kong0Luping Li1Shugui Kang2Youjun Liu3Wenying Feng4The Institute of Applied MathematicsThe Institute of Applied MathematicsThe Institute of Applied MathematicsThe Institute of Applied MathematicsDepartments of Mathematics and Computer ScienceIn 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.http://dx.doi.org/10.1155/2022/4927261 |
| spellingShingle | Lili Kong Luping Li Shugui Kang Youjun Liu Wenying Feng Dynamic Behavior of a Stochastic Tungiasis Model for Public Health Education Discrete Dynamics in Nature and Society |
| title | Dynamic Behavior of a Stochastic Tungiasis Model for Public Health Education |
| title_full | Dynamic Behavior of a Stochastic Tungiasis Model for Public Health Education |
| title_fullStr | Dynamic Behavior of a Stochastic Tungiasis Model for Public Health Education |
| title_full_unstemmed | Dynamic Behavior of a Stochastic Tungiasis Model for Public Health Education |
| title_short | Dynamic Behavior of a Stochastic Tungiasis Model for Public Health Education |
| title_sort | dynamic behavior of a stochastic tungiasis model for public health education |
| url | http://dx.doi.org/10.1155/2022/4927261 |
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