Global Dynamics of a Prey-Predator Model with Antipredator Behavior and Two Predators

In this work, we establish a new model of one prey and two predators with antipredator behavior. The basic properties on the positivity and boundedness of solutions and the existence of equilibria are established. Through analyzing the global dynamics, we find that there exist some values of the par...

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Bibliographic Details
Published in:Discrete dynamics in nature and society 2019-01, Vol.2019 (2019), p.1-9
Main Authors: Zhou, Yicang, Xu, Jinhu, Zhang, Yingying, Li, Chentong
Format: Article
Language:English
Subjects:
Analysis
Animal behavior
Behavior
Predators
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Summary:In this work, we establish a new model of one prey and two predators with antipredator behavior. The basic properties on the positivity and boundedness of solutions and the existence of equilibria are established. Through analyzing the global dynamics, we find that there exist some values of the parameters such that one of the predators can be driven into being extinct by another. Furthermore, the coexistence of the three species is investigated which shows that the antipredator behavior makes the species coexist by periodic oscillation. The results give a new insight into the influence of antipredator behavior in nature selection.
ISSN:1026-0226
1607-887X
DOI:10.1155/2019/3586508