Three-Species Predator-Prey Stochastic Delayed Model Driven by L\'{e}vy Jumps and with Cooperation Among Prey Species
Dynamical Systems
2023-04-26 v1 Probability
Abstract
Our study focuses on analyzing the behavior of a stochastic predator-prey model with a time delay and logistic growth of prey, influenced by L\'{e}vy noise. Initially, we establish the existence, uniqueness, and boundedness of a positive solution that spans globally. Subsequently, we explore the conditions under which extinction occurs, and identify adequate criteria for persistence. Finally, we validate our theoretical findings through numerical simulations, which also helps illustrate the dynamics of the stochastic delayed predator-prey model based on different criteria.
Keywords
Cite
@article{arxiv.2304.12860,
title = {Three-Species Predator-Prey Stochastic Delayed Model Driven by L\'{e}vy Jumps and with Cooperation Among Prey Species},
author = {Jaouad Danane and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:2304.12860},
year = {2023}
}
Comments
This is a preprint of a paper whose final and definite form is published Open Access in 'Mathematics' at [https://doi.org/10.3390/math11071595]