吴慧, 师向云, 代青雅. 一类捕食者具有阶段结构的生态-流行病模型研究[J]. 信阳师范学院学报(自然科学版), 2021, 34(4): 536-540. DOI: 10.3969/j.issn.1003-0972.2021.04.004
引用本文: 吴慧, 师向云, 代青雅. 一类捕食者具有阶段结构的生态-流行病模型研究[J]. 信阳师范学院学报(自然科学版), 2021, 34(4): 536-540. DOI: 10.3969/j.issn.1003-0972.2021.04.004
Hui WU, Xiangyun SHI, Qingya DAI. Stability of a Stage-structured Eco-epidemiological Model[J]. Journal of Xinyang Normal University (Natural Science Edition), 2021, 34(4): 536-540. DOI: 10.3969/j.issn.1003-0972.2021.04.004
Citation: Hui WU, Xiangyun SHI, Qingya DAI. Stability of a Stage-structured Eco-epidemiological Model[J]. Journal of Xinyang Normal University (Natural Science Edition), 2021, 34(4): 536-540. DOI: 10.3969/j.issn.1003-0972.2021.04.004

一类捕食者具有阶段结构的生态-流行病模型研究

Stability of a Stage-structured Eco-epidemiological Model

  • 摘要: 建立了一类捕食者具有阶段结构、食饵种群染病的生态-流行病模型,讨论了该系统非负平衡点的渐近稳定性,并分析了在一定条件下,系统的正平衡点随着时滞τ的增加会发生稳定性开关现象.

     

    Abstract: An eco-epidemiological model with stage structure for predator and the prey population with some illness is presented and investigated. The asymptotic stability of nonnegative equilibria is discussed. And the stability switch of the system around the positive equilibrium due to variation of delay parameter has been observed under some conditions.

     

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