Bulletin of Computational Applied Mathematics (Bull CompAMa)
Qualitative Analysis of a Leslie-Gower Predator-Prey Model with Delay
Cosme Duque, Zoraida Sivoli
In this paper a Leslie-Gower predator-prey model with distributed delay is proposed and analyzed. We give necessary and sufficient conditions in order the system be dissipative and permanent. We show that there exists a stable periodic orbit when the model has a non-trivial unstable and hyperbolic equilibrium. Numerical examples are given to illustrate the effectiveness of the results.
Keywords: Leslie-Gower predator-prey model; competitive system; stable periodic orbit; delay.