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
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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.