On an Impulsive Food Web System with Mutual Interference and Distributed Time Delay
In this paper, we present a predator-prey system with mutual interference and distributed time delay and study its dynamical behavior. Based on the existence and universality of mutual interference among species, it is necessary to further study an impulsive food web system. By using stability theor...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/7629763 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850168638953226240 |
|---|---|
| author | Zhen Wang Liwei Liu Guangwang Su Yuanfu Shao |
| author_facet | Zhen Wang Liwei Liu Guangwang Su Yuanfu Shao |
| author_sort | Zhen Wang |
| collection | DOAJ |
| description | In this paper, we present a predator-prey system with mutual interference and distributed time delay and study its dynamical behavior. Based on the existence and universality of mutual interference among species, it is necessary to further study an impulsive food web system. By using stability theory, slight perturbation technique, and comparison theorem, we obtain some theoretical results of the system, such as boundedness and permanence. Moreover, numerical experiments are used to verify the theoretical results and to explore the dynamical behavior of the system, which exhibits rich dynamical behavior such as chaotic oscillation, periodic oscillation, symmetry-breaking bifurcations, chaotic crises, and period bifurcation. Finally, we give some practical guidelines for biological systems based on the theoretical results and numerical experiments of the system. |
| format | Article |
| id | doaj-art-a25ba25cb0ef4d29b5920fcde8006c13 |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-a25ba25cb0ef4d29b5920fcde8006c132025-08-20T02:20:55ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/76297637629763On an Impulsive Food Web System with Mutual Interference and Distributed Time DelayZhen Wang0Liwei Liu1Guangwang Su2Yuanfu Shao3School of Science, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, ChinaSchool of Science, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, ChinaSchool of Science, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, ChinaCollege of Science, Guilin University of Technology, Guilin 541004, Guangxi, ChinaIn this paper, we present a predator-prey system with mutual interference and distributed time delay and study its dynamical behavior. Based on the existence and universality of mutual interference among species, it is necessary to further study an impulsive food web system. By using stability theory, slight perturbation technique, and comparison theorem, we obtain some theoretical results of the system, such as boundedness and permanence. Moreover, numerical experiments are used to verify the theoretical results and to explore the dynamical behavior of the system, which exhibits rich dynamical behavior such as chaotic oscillation, periodic oscillation, symmetry-breaking bifurcations, chaotic crises, and period bifurcation. Finally, we give some practical guidelines for biological systems based on the theoretical results and numerical experiments of the system.http://dx.doi.org/10.1155/2020/7629763 |
| spellingShingle | Zhen Wang Liwei Liu Guangwang Su Yuanfu Shao On an Impulsive Food Web System with Mutual Interference and Distributed Time Delay Discrete Dynamics in Nature and Society |
| title | On an Impulsive Food Web System with Mutual Interference and Distributed Time Delay |
| title_full | On an Impulsive Food Web System with Mutual Interference and Distributed Time Delay |
| title_fullStr | On an Impulsive Food Web System with Mutual Interference and Distributed Time Delay |
| title_full_unstemmed | On an Impulsive Food Web System with Mutual Interference and Distributed Time Delay |
| title_short | On an Impulsive Food Web System with Mutual Interference and Distributed Time Delay |
| title_sort | on an impulsive food web system with mutual interference and distributed time delay |
| url | http://dx.doi.org/10.1155/2020/7629763 |
| work_keys_str_mv | AT zhenwang onanimpulsivefoodwebsystemwithmutualinterferenceanddistributedtimedelay AT liweiliu onanimpulsivefoodwebsystemwithmutualinterferenceanddistributedtimedelay AT guangwangsu onanimpulsivefoodwebsystemwithmutualinterferenceanddistributedtimedelay AT yuanfushao onanimpulsivefoodwebsystemwithmutualinterferenceanddistributedtimedelay |