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Volume 5, Issue 2
Dynamics Behavior of a Stochastic Predator-Prey Model with Stage Structure for Predator and Lévy Jumps

Xiaomei Wu & Sanling Yuan

DOI: 10.12150/jnma.2023.394

J. Nonl. Mod. Anal., 5 (2023), pp. 394-414.

Published online: 2023-08

[An open-access article; the PDF is free to any online user.]

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  • 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.

  • Keywords

Predator-prey model, stage structure, Lévy jumps, persistence and extinction.

  • AMS Subject Headings

92C10, 92C15

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-5-394, author = {Wu , Xiaomei and Yuan , Sanling}, title = {Dynamics Behavior of a Stochastic Predator-Prey Model with Stage Structure for Predator and Lévy Jumps}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2023}, volume = {5}, number = {2}, pages = {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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2023.394}, url = {http://global-sci.org/intro/article_detail/jnma/21933.html} }
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 -

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.

Xiaomei Wu & Sanling Yuan. (2023). Dynamics Behavior of a Stochastic Predator-Prey Model with Stage Structure for Predator and Lévy Jumps. Journal of Nonlinear Modeling and Analysis. 5 (2). 394-414. doi:10.12150/jnma.2023.394
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