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一类人禽间传染病模型的动力学分析
引用本文:姜永,陈永雪.一类人禽间传染病模型的动力学分析[J].生物数学学报,2013(4):595-604.
作者姓名:姜永  陈永雪
作者单位:福建农林大学计算机与信息学院,福建福州350002
摘    要:讨论了一类人禽传染病模型,其中禽类被病毒感染后人们采取措施治疗病禽.治疗有助于禽类的存活,但人们可能通过接触病禽而被感染.禽间的疾病传播服从饱和接触率函数,人与禽的接触服从线性接触率.完成了稳定性和持久性研究,且进行了数值模拟以评估治疗的效果和风险.

关 键 词:饲养业  人-禽生态传染病模型  平衡点  持久性  稳定性  模拟

Dynamic Analysis of an Infectious Disease between Human and Poultry
JIANG Yong,CHEN Yong-xue.Dynamic Analysis of an Infectious Disease between Human and Poultry[J].Journal of Biomathematics,2013(4):595-604.
Authors:JIANG Yong  CHEN Yong-xue
Institution:(College of Computer and Information Science, Fujian Agriculture and Forestry University, Fuzhou Fujian 350002 China)
Abstract:In this paper, a human-poultry eco-epidemiological model is investi- gated. Where, poultry is infected by bacteria, then people take measures to treat the infected individuals. The treatment contributes to the survival of poultry, but people may be infected through contact with the infected poultry. The spread of disease among poultry follows the saturation incidence function, the contact for human with poultry follows the linear contact rate. Stability and persistence are carried out, then numerical simulations are implemented to assess the effect and the risk of treatment.
Keywords:Farming industry  Human-poultry eco-epidemiological model  Equi-librium  Persistence  Stability  Simulation
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