Dynamics Behavior of a Stochastic Predator-Prey Model with Stage Structure for Predator and Lévy Jumps
Year: 2023
Author: Xiaomei Wu, Sanling Yuan
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 2 : pp. 394–414
Abstract
In order to study the effects of external environmental noise on the interaction dynamics between predator and prey populations, in this paper, we develop a predator-prey model with the stage structure for predator and Lévy noise. By constructing an appropriate Lyapunov function, we first prove that the proposed model exists the uniqueness of global positive solution. Then, we analyze the persistence and extinction of the proposed model. Finally, we perform some numerical simulations to verify the correctness of the theoretical results.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2023.394
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 2 : pp. 394–414
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Predator-prey model stage structure Lévy jumps persistence and extinction.