Abstract
In this paper, we study the dynamical analysis of a stochastic Leslie–Gower biological predator– prey model. Earlier, the Leslie–Gower model was studied in the context of biological systems, including cases involving cannibalism. In our model, we investigate the dynamic properties of a stochastic Leslie–Gower predator–prey ecological system using the stability of invariant measures on invariant sets, where the invariant measures are shown to be ergodic. We also conduct a threshold analysis to study the stochastic persistence and extinction of species. Stochastic bifurcation is also examined. The theoretical results are supported by numerical simulations and examples. Intra-species competition is considered and described through theoretical analysis. The numerical results provide insights for modeling new stochastic ecological systems. Simulations are carried out to verify all the results.
Recommended Citation
Prasad, Sada Nand; Kumar, Itendra Universiry of Delhi, India; and Kumar, Pawan
(2024).
(R2098) Dynamic Analysis of Stochastic Leslie-Gower Biological Predator-Prey Model with Prey Cannibalism,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 20,
Iss.
1, Article 4.
Available at:
https://digitalcommons.pvamu.edu/aam/vol20/iss1/4