Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a prey refuge |
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Authors: | Wonlyul Ko |
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Institution: | Department of Information and Mathematics, Korea University, Jochiwon, Chungnam 339-700, South Korea |
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Abstract: | 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∈(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. |
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Keywords: | 35J60 92D25 |
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