A predator-prey system with anorexia response
type: Item
instance of: scholarly article
title: A predator-prey system with anorexia response
zbMATH Open document ID: 1115.34043
author: Zhenkun Huang
author: Xinghua Wang
author: Yonghui Xia
published in: Nonlinear Analysis. Real World Applications
publication date: 2007-02-13T00:00:00Z
review text: This paper treats a predator-prey model with one predator and two prey species. It is assumed that there is a saturation effect with respect to the first prey species, while the predator response to the second prey species is of anorexia type. All the coefficients that usually are regarded constant, now are allowed to be nonnegative almost periodic functions of time. The authors prove the existence of a bounded solution and, by constructing an appropriate Lyapunov function, also establish sufficient conditions for the existence of a unique almost periodic positive and globally attractive solution. Finally, numerical simulations with and without anorexia response show important differences in the long-term behavior of the predator population.
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34C27
Mathematics Subject Classification ID: 34D05
zbMATH DE Number: 5125024
zbMATH Keywords: almost periodic solution
zbMATH Keywords: persistence
reviewed by: Josef Hainzl
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2005.05.004
OpenAlex ID: W2074793545
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DOI: 10.1016/J.NONRWA.2005.05.004
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description: scientific article; zbMATH DE number 5125024