abstract 74

Bulletin of Computational Applied Mathematics (Bull CompAMa)

74

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.

Cite this paper:

Duque C., Sivoli Z.

Qualitative Analysis of a Leslie-Gower Predator-Prey Model with Delay

Bull. Comput. Appl. Math. (Bull CompAMa)

Vol. 10, No.1, pp.125-143, 2022.