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具有功能性反应且捕食者有病的捕食-被捕食的SI模型

Li-hong WANG,Ming-qi LUO,Jiu-e ZHANG,Lin ZHAO,Zhi-xue LUO

Journal of Luoyang Institute of Science and Technology(Natural Science Edition)（2010）

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Abstract
建立并研究了一类捕食者具有传染病的生态流行病SI模型,考虑了捕食者具有功能性反应,且染病的捕食者会因病死亡,以及只有健康的捕食者才具有捕食能力,但这种疾病一旦染上就不再康复.应用特征方程的方法以及Liapunov函数法,得到了无病平衡点和地方病平衡点渐进稳定的条件.
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Key words
functional response,asymptotical stability,prey-predator system,equilibrium
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