Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a prey refuge
Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a prey refuge
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DOI：
10.1016/j.jde.2006.08.001
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发表时间：
2006-12-15
影响因子：
2.4
通讯作者：
Ryu, Kimun
中科院分区：
文献类型：
--
作者：
Ko, Wonlyul;Ryu, Kimun
研究了一类具有Holling Ⅱ型功能性反应的食饵-捕食者模型，该模型在齐次Neumann边界条件下具有避难所.我们证明了依赖于常数m是（0，1]的一个元素的非常数正平衡解的存在性和不存在性，这为保护被捕食者u的（1 - m）u不被捕食提供了条件.此外，我们还研究了空间非齐次解的渐近性态和周期解的局部存在性。(c)2006爱思唯尔公司All rights reserved.
We study a predator-prey model with Holling type II functional response incorporating a prey refuge under homogeneous Neumann boundary condition. We show the existence and non-existence of non-constant positive steady-state solutions depending on the constant m is an element of (0, 1], which provides a condition for protecting (1 - m)u of prey u from predation. Moreover, we investigate the asymptotic behavior of spacially inhomogeneous solutions and the local existence of periodic solutions. (c) 2006 Elsevier Inc. All rights reserved.