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一类生态模型周期解的全局吸引

Global Attractivity of Periodic Solution of Eco-epidemic Model
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摘要 本文建立了一类疾病在食饵当中传播的捕食—食饵模型,并利用泛函微分方程中的单调凸算子理论,获得了系统正周期解存在性和稳定性的充分条件. In this paper, we consider a predator-prey model with a disease in the prey and by using the theory of monotone and concave operators of functional equations, the sufficient conditions of the existence and stability of a positive periodic solution for the system are established.
出处 《山西师范大学学报(自然科学版)》 2009年第3期9-11,共3页 Journal of Shanxi Normal University(Natural Science Edition)
基金 山西省青年科技研究基金项目(20021004)
关键词 生态模型 全局吸引 周期解 阶段结构 ecological model attractivity periodic solution stage structure
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参考文献5

  • 1Aiello W G, Freedman H I. A time-delay model of single-species growth with stage-structure [ J]. Math Biosci, 1990, 101:139 - 153.
  • 2Wang W D, Chen L S. A predator-prey system with stage-structure for predator [ J]. Computer Math Appl, 1997, 33:83 - 91.
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  • 5Wang W D. Global Attractivity of periodic solutions of population models [ J ]. Math Analy Appl, 1997,211:498 - 511.

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