蔺娜娜, 张丽娜. 具有交错扩散和保护区域的Ivlev型捕食模型的共存解[J]. 云南大学学报(自然科学版), 2020, 42(2): 213-219. doi: 10.7540/j.ynu.20190233
引用本文: 蔺娜娜, 张丽娜. 具有交错扩散和保护区域的Ivlev型捕食模型的共存解[J]. 云南大学学报(自然科学版), 2020, 42(2): 213-219. doi: 10.7540/j.ynu.20190233
LIN Na-na, ZHANG Li-na. Coexistence solutions of a Ivlev-type predator-prey model with cross-diffusion and a protection zone[J]. Journal of Yunnan University: Natural Sciences Edition, 2020, 42(2): 213-219. DOI: 10.7540/j.ynu.20190233
Citation: LIN Na-na, ZHANG Li-na. Coexistence solutions of a Ivlev-type predator-prey model with cross-diffusion and a protection zone[J]. Journal of Yunnan University: Natural Sciences Edition, 2020, 42(2): 213-219. DOI: 10.7540/j.ynu.20190233

具有交错扩散和保护区域的Ivlev型捕食模型的共存解

Coexistence solutions of a Ivlev-type predator-prey model with cross-diffusion and a protection zone

  • 摘要: 主要研究一个食饵具有保护区域的Ivlev型捕食模型的平衡态问题. 应用特征值理论和分歧理论讨论共存态的存在性. 结果表明,交错扩散有助于物种的共存.

     

    Abstract: We are concerned with the stationary problem of a Ivlev-type predator-prey model with cross-diffusion and a protection zone. The existence of coexistence states is discussed by using the eigenvalue theory and bifurcation theory. As a result, it is shown that the cross-diffusion is beneficial for species coexistence.

     

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