Dynamic Behavior Analysis of Stochastic Nonautonomous Logistic Model with Limited Resources and Lévy Jump
In this paper, we discuss the dynamic behavior of the nonautonomous stochastic logistic model under the influence of limited resources and Lévy jump. Firstly, by constructing the Lyapunov function and using the Itô formula, we prove the persistence and extinction of the solution of the model in the...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2022/6220033 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832552847570370560 |
|---|---|
| author | Yonggang Ma Junmei Liu |
| author_facet | Yonggang Ma Junmei Liu |
| author_sort | Yonggang Ma |
| collection | DOAJ |
| description | In this paper, we discuss the dynamic behavior of the nonautonomous stochastic logistic model under the influence of limited resources and Lévy jump. Firstly, by constructing the Lyapunov function and using the Itô formula, we prove the persistence and extinction of the solution of the model in the sense of p-moment. Secondly, with the help of the Itô-Lévy formula, we discuss that the zero solution and positive equilibrium solution of the model are almost asymptotically stable under certain conditions. Finally, we verified the correctness of these conclusions through numerical simulation and explained some specific biological significance. |
| format | Article |
| id | doaj-art-5412bb0b1bc5423b8337d2baade23ca7 |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-5412bb0b1bc5423b8337d2baade23ca72025-02-03T05:57:38ZengWileyDiscrete Dynamics in Nature and Society1607-887X2022-01-01202210.1155/2022/6220033Dynamic Behavior Analysis of Stochastic Nonautonomous Logistic Model with Limited Resources and Lévy JumpYonggang Ma0Junmei Liu1School of Mathematics and StatisticsSchool of Mathematics and StatisticsIn this paper, we discuss the dynamic behavior of the nonautonomous stochastic logistic model under the influence of limited resources and Lévy jump. Firstly, by constructing the Lyapunov function and using the Itô formula, we prove the persistence and extinction of the solution of the model in the sense of p-moment. Secondly, with the help of the Itô-Lévy formula, we discuss that the zero solution and positive equilibrium solution of the model are almost asymptotically stable under certain conditions. Finally, we verified the correctness of these conclusions through numerical simulation and explained some specific biological significance.http://dx.doi.org/10.1155/2022/6220033 |
| spellingShingle | Yonggang Ma Junmei Liu Dynamic Behavior Analysis of Stochastic Nonautonomous Logistic Model with Limited Resources and Lévy Jump Discrete Dynamics in Nature and Society |
| title | Dynamic Behavior Analysis of Stochastic Nonautonomous Logistic Model with Limited Resources and Lévy Jump |
| title_full | Dynamic Behavior Analysis of Stochastic Nonautonomous Logistic Model with Limited Resources and Lévy Jump |
| title_fullStr | Dynamic Behavior Analysis of Stochastic Nonautonomous Logistic Model with Limited Resources and Lévy Jump |
| title_full_unstemmed | Dynamic Behavior Analysis of Stochastic Nonautonomous Logistic Model with Limited Resources and Lévy Jump |
| title_short | Dynamic Behavior Analysis of Stochastic Nonautonomous Logistic Model with Limited Resources and Lévy Jump |
| title_sort | dynamic behavior analysis of stochastic nonautonomous logistic model with limited resources and levy jump |
| url | http://dx.doi.org/10.1155/2022/6220033 |
| work_keys_str_mv | AT yonggangma dynamicbehavioranalysisofstochasticnonautonomouslogisticmodelwithlimitedresourcesandlevyjump AT junmeiliu dynamicbehavioranalysisofstochasticnonautonomouslogisticmodelwithlimitedresourcesandlevyjump |