TY - JOUR
T1 - Dynamics Behavior of a Stochastic Predator-Prey Model with Stage Structure for Predator and Lévy Jumps
AU - Wu , Xiaomei
AU - Yuan , Sanling
JO - Journal of Nonlinear Modeling and Analysis
VL - 2
SP - 394
EP - 414
PY - 2023
DA - 2023/08
SN - 5
DO - http://doi.org/10.12150/jnma.2023.394
UR - https://global-sci.org/intro/article_detail/jnma/21933.html
KW - Predator-prey model, stage structure, Lévy jumps, persistence
and extinction.
AB - <p style="text-align: justify;">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.</p>