| 关于牛布鲁氏菌病多斑块动力学模型的分析 |
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| 作者姓名： | Juan Zhang Shigui Ruan Guiquan Sun Xiangdong Sun Zhen Jin |
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| 作者单位： | School of Mechatronic Engineering,North University of China;Complex Systems Research Center,Shanxi University;Department of Mathematics,University of Miami;School of Mathematical Science,Fudan University;The Laboratory of Animal Epidemiological Surveillance,China Animal Health & Epidemiology Center |
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| 基金项目： | the National Natural Science Foundation of China under Grant，the National Youth Natural Science Foundation，the Specialized Research Fund for the Doctoral Program of Higher Education，the Research Project Supported by Shanxi Scholarship Council of China |
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| 摘 要： | The dissemination of cattle brucellosis in Zhejiang province of China can be attributed to the transport of cattle between cities within the province. In this paper,an n-patch dynamical model is proposed to study the effect of cattle dispersal on brucellosis spread. Theoretically,we analyze the dynamical behavior of the muti-patch model. For the 2-patch submodel,sensitivity analyses of the basic reproduction number R0 and the number of the infectious cattle in term of model parameters are carried out. By numerical analysis,it is obtained that the dispersal of susceptible cattle between patches and the centralization of infected cattle to the large scale patch can alleviate the epidemic and are in favor of the control of disease in the whole region.
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| 关 键 词： | brucellosis cattle n-patch model dispersal |
| 收稿时间： | 2014/5/11 0:00:00 |
Analysis of a multi patch dynamical model about cattle brucellosis |
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| Juan Zhang,Shigui Ruan,Guiquan Sun,Xiangdong Sun,Zhen Jin.Analysis of a multi patch dynamical model about cattle brucellosis[J].Journal of Shanghai Normal University(Natural Sciences),2014,43(5):441-455. |
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| Authors: | Juan Zhang Shigui Ruan Guiquan Sun Xiangdong Sun Zhen Jin |
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| Abstract: | The dissemination of cattle brucellosis in Zhejiang province of China can be attributed to the transport of cattle between cities within the province. In this paper,an n-patch dynamical model is proposed to study the effect of cattle dispersal on brucellosis spread. Theoretically,we analyze the dynamical behavior of the muti-patch model. For the 2-patch submodel,sensitivity analyses of the basic reproduction number R0 and the number of the infectious cattle in term of model parameters are carried out. By numerical analysis,it is obtained that the dispersal of susceptible cattle between patches and the centralization of infected cattle to the large scale patch can alleviate the epidemic and are in favor of the control of disease in the whole region. |
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| Keywords: | brucellosis cattle n-patch model dispersal |
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