Dynamics Analysis of a Stochastic Hybrid Logistic Model with Delay and Two-Pulse Perturbations
In this paper, we propose and discuss a stochastic logistic model with delay, Markovian switching, Lévy jump, and two-pulse perturbations. First, sufficient criteria for extinction, nonpersistence in the mean, weak persistence, persistence in the mean, and stochastic permanence of the solution are g...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/5024830 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832560070895861760 |
|---|---|
| author | Haokun Qi Hua Guo |
| author_facet | Haokun Qi Hua Guo |
| author_sort | Haokun Qi |
| collection | DOAJ |
| description | In this paper, we propose and discuss a stochastic logistic model with delay, Markovian switching, Lévy jump, and two-pulse perturbations. First, sufficient criteria for extinction, nonpersistence in the mean, weak persistence, persistence in the mean, and stochastic permanence of the solution are gained. Then, we investigate the lower (upper) growth rate of the solutions. At last, we make use of Matlab to illustrate the main results and give an explanation of biological implications: the large stochastic disturbances are disadvantageous for the persistence of the population; excessive impulsive harvesting or toxin input can lead to extinction of the population. |
| format | Article |
| id | doaj-art-e1263f4657b7450e9c8ca35b0fe6dd33 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-e1263f4657b7450e9c8ca35b0fe6dd332025-02-03T01:28:34ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/50248305024830Dynamics Analysis of a Stochastic Hybrid Logistic Model with Delay and Two-Pulse PerturbationsHaokun Qi0Hua Guo1College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaIn this paper, we propose and discuss a stochastic logistic model with delay, Markovian switching, Lévy jump, and two-pulse perturbations. First, sufficient criteria for extinction, nonpersistence in the mean, weak persistence, persistence in the mean, and stochastic permanence of the solution are gained. Then, we investigate the lower (upper) growth rate of the solutions. At last, we make use of Matlab to illustrate the main results and give an explanation of biological implications: the large stochastic disturbances are disadvantageous for the persistence of the population; excessive impulsive harvesting or toxin input can lead to extinction of the population.http://dx.doi.org/10.1155/2020/5024830 |
| spellingShingle | Haokun Qi Hua Guo Dynamics Analysis of a Stochastic Hybrid Logistic Model with Delay and Two-Pulse Perturbations Complexity |
| title | Dynamics Analysis of a Stochastic Hybrid Logistic Model with Delay and Two-Pulse Perturbations |
| title_full | Dynamics Analysis of a Stochastic Hybrid Logistic Model with Delay and Two-Pulse Perturbations |
| title_fullStr | Dynamics Analysis of a Stochastic Hybrid Logistic Model with Delay and Two-Pulse Perturbations |
| title_full_unstemmed | Dynamics Analysis of a Stochastic Hybrid Logistic Model with Delay and Two-Pulse Perturbations |
| title_short | Dynamics Analysis of a Stochastic Hybrid Logistic Model with Delay and Two-Pulse Perturbations |
| title_sort | dynamics analysis of a stochastic hybrid logistic model with delay and two pulse perturbations |
| url | http://dx.doi.org/10.1155/2020/5024830 |
| work_keys_str_mv | AT haokunqi dynamicsanalysisofastochastichybridlogisticmodelwithdelayandtwopulseperturbations AT huaguo dynamicsanalysisofastochastichybridlogisticmodelwithdelayandtwopulseperturbations |