Analysis of a Patch Model for the Dynamical Transmission of Echinococcosis
A patch model for echinococcosis due to dogs migration is proposed to explore the effect of dogs migration among patches on the spread of echinococcosis. We firstly define the basic reproduction number R0. The mathematical results show that the dynamics of the model can be completely determined by R...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/576365 |
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| author | Kai Wang Xueliang Zhang Zhidong Teng Lei Wang Liping Zhang |
| author_facet | Kai Wang Xueliang Zhang Zhidong Teng Lei Wang Liping Zhang |
| author_sort | Kai Wang |
| collection | DOAJ |
| description | A patch model for echinococcosis due to dogs migration is proposed to explore the effect of dogs migration among patches on the spread of echinococcosis. We firstly define the basic reproduction number R0. The mathematical results show that the dynamics of the model can be completely determined by R0. If R0<1, the disease-free equilibrium is globally asymptotically stable. When R0>1, the model is permanence and endemic equilibrium is globally asymptotically stable. According to the simulations, it is shown that the larger diffusion of dogs from the lower epidemic areas to the higher prevalence areas can intensify the spread of echinococcosis. However, the larger diffusion of dogs from the higher prevalence areas to the lower epidemic areas can reduce the
spread and is beneficial for disease control. |
| format | Article |
| id | doaj-art-35e2c498cfbf4461a530efe35113fd3b |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-35e2c498cfbf4461a530efe35113fd3b2025-08-20T02:08:12ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/576365576365Analysis of a Patch Model for the Dynamical Transmission of EchinococcosisKai Wang0Xueliang Zhang1Zhidong Teng2Lei Wang3Liping Zhang4Department of Mathematics, North University of China, Taiyuan, Shanxi 030051, ChinaDepartment of Medical Engineering and Technology, Xinjiang Medical University, Urumqi 830011, ChinaCollege of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, ChinaDepartment of Medical Engineering and Technology, Xinjiang Medical University, Urumqi 830011, ChinaDepartment of Medical Engineering and Technology, Xinjiang Medical University, Urumqi 830011, ChinaA patch model for echinococcosis due to dogs migration is proposed to explore the effect of dogs migration among patches on the spread of echinococcosis. We firstly define the basic reproduction number R0. The mathematical results show that the dynamics of the model can be completely determined by R0. If R0<1, the disease-free equilibrium is globally asymptotically stable. When R0>1, the model is permanence and endemic equilibrium is globally asymptotically stable. According to the simulations, it is shown that the larger diffusion of dogs from the lower epidemic areas to the higher prevalence areas can intensify the spread of echinococcosis. However, the larger diffusion of dogs from the higher prevalence areas to the lower epidemic areas can reduce the spread and is beneficial for disease control.http://dx.doi.org/10.1155/2014/576365 |
| spellingShingle | Kai Wang Xueliang Zhang Zhidong Teng Lei Wang Liping Zhang Analysis of a Patch Model for the Dynamical Transmission of Echinococcosis Abstract and Applied Analysis |
| title | Analysis of a Patch Model for the Dynamical Transmission of Echinococcosis |
| title_full | Analysis of a Patch Model for the Dynamical Transmission of Echinococcosis |
| title_fullStr | Analysis of a Patch Model for the Dynamical Transmission of Echinococcosis |
| title_full_unstemmed | Analysis of a Patch Model for the Dynamical Transmission of Echinococcosis |
| title_short | Analysis of a Patch Model for the Dynamical Transmission of Echinococcosis |
| title_sort | analysis of a patch model for the dynamical transmission of echinococcosis |
| url | http://dx.doi.org/10.1155/2014/576365 |
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