Effect of weak prey in LeslieaGower predator-prey model

A LeslieaGower preyapredator model incorporating partial prey protection is proposed. Prey densities are divided into two groups: strong and weak. The special dynamic of each group is considered. The condition of existence and uniqueness of the equilibrium point in the positive octant is determined,...

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Bibliographic Details
Published in:Applied mathematics and computation 2013-11, Vol.224, p.196-204
Main Authors: Mohammadi, Hossein, Mahzoon, Mojtaba
Format: Article
Language:English
Subjects:
Computation
Construction
Density
Dynamics
Lyapunov functions
Mathematical models
Uniqueness
Online Access:Get full text
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Summary:A LeslieaGower preyapredator model incorporating partial prey protection is proposed. Prey densities are divided into two groups: strong and weak. The special dynamic of each group is considered. The condition of existence and uniqueness of the equilibrium point in the positive octant is determined, and by constructing a suitable Lyapunov function, it is shown that the unique equilibrium point is stable in the positive octant. The effects of strong prey becoming weak prey is studied and it is shown that it has no influence on the persistent property of the system and can enhance the co-existence of the preyapredator.
ISSN:0096-3003
DOI:10.1016/j.amc.2013.08.057