| 一类食饵种群中具有传染病的捕食-被捕食系统 |
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| 作者姓名： | Mainul Haque Joydev Chattopadhyay |
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| 作者单位： | Department of Mathematics Krishnath College Berhampore，West Bengal-742101，India，Agricultural and Ecological Research Unit，yIndian Statistical Institute，203，B.T.Road，Kolkata-700108，India |
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| 摘 要： | 对疾病仅在食饵种群传播的有比例依赖的捕食-被捕食系统的动力学进行了分析,给出了每个平衡点附近系统的性态,定义了决定疾病灭绝和成为地方病的阁值R_0．得出的结论是:在比例依赖的捕食-被捕食系统中,染病食饵种群可以充当一个生物控制量,以抑制种群的绝灭．
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| 关 键 词： | 生态流行病学 稳定性 分支 生物控制 |
| 文章编号： | 1001-9626（2007）01-0013-12 |
| 收稿时间： | 2005-04-23 |
| 修稿时间： | 2005-04-23 |
Influence of Transmissible Disease in Prey Species of a Ratio-Dependent Predator-Prey System |
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| Mainul Haque Joydev Chattopadhyay.Influence of Transmissible Disease in Prey Species of a Ratio-Dependent Predator-Prey System[J].Journal of Biomathematics,2007,22(1):13-24. |
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| Authors: | Mainul Haque Joydev Chattopadhyay |
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| Institution: | 1. Department of Mathematics,Krishnath College Berhampore,West Bengal-742101,India
2. Agricultural and Ecological Research Unit,ylndian Statistical Institute,203,B.T.Road,Kolkata-700108,India |
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| Abstract: | The present paper deals with the parametric analysis of ratio- dependent predator-prey system in which a disease is spreading among the prey species only.We have analyzed the behavior of the system around each equilibrium.Thresh- old R_0 is identified which determine when the disease dies out and when it is endemic. Our final conclusion is that introduction of infected prey species in the ratio-dependent predator-prey model may act as a biological control to prevent the population from extinction. |
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| Keywords: | Eco-epidemiology Stability Bifurcations Biological control |
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