Dynamical properties of a Leslie-Gower prey-predator model with strong Allee effect in prey

Wenjie Ni; Mingxin Wang

doi:10.3934/dcdsb.2017172

Article Contents

2017, Volume 22, Issue 9: 3409-3420. Doi: 10.3934/dcdsb.2017172

This issue Previous Article On random cocycle attractors with autonomous attraction universes Next Article The almost unconditional convergence of the Euler implicit/explicit scheme for the three dimensional nonstationary Navier-Stokes equations

Dynamical properties of a Leslie-Gower prey-predator model with strong Allee effect in prey

Wenjie Ni and
Mingxin Wang^,

Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China

* Corresponding author: Mingxin Wang
* Corresponding author: Mingxin Wang

Received: March 2016

Revised: May 2017

Published: October 2017

This work was supported by NSFC Grant 11371113

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Abstract

This paper is devoted to study the dynamical properties of a Leslie-Gower prey-predator system with strong Allee effect in prey. We first gives some estimates, and then study the dynamical properties of solutions. In particular, we mainly investigate the unstable and stable manifolds of the positive equilibrium when the system has only one positive equilibrium.

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Mathematics Subject Classification: Primary:92D25, 92D50;Secondary:34D05, 34D20.

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References

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