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

作　　者：蔺娜娜 张丽娜 LIN Na-na;ZHANG Li-na(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《云南大学学报（自然科学版）》2020年第2期213-219,共7页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金(11761063).

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.We are concerned with the stationary problem of a Ivlev-type predator-prey model with crossdiffusion 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.

关 键 词：捕食模型 保护区域 交错扩散 共存态 

分 类 号：O175.26[理学—数学]