Dynamical properties of a Leslie-gower prey-predator model with strong Allee effect in prey. (English) Zbl 1368.92152
Summary: 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.
MSC:
| 92D25 | Population dynamics (general) |
| 92D50 | Animal behavior |
| 34D05 | Asymptotic properties of solutions to ordinary differential equations |
| 34D20 | Stability of solutions to ordinary differential equations |
References:
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