Three-Prey One-Predator Continuous Time Nonlinear System Model
In this paper, we propose a new multiple-prey one-predator continuous time nonlinear system model, in which the number of teams of preys is equal to 3; namely, a continuous time three-prey one-predator model is put forward and studied. The fourth-order differential equation is established, in which...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/8869989 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850120772699291648 |
|---|---|
| author | Jingyuan Zhang Yan Yang |
| author_facet | Jingyuan Zhang Yan Yang |
| author_sort | Jingyuan Zhang |
| collection | DOAJ |
| description | In this paper, we propose a new multiple-prey one-predator continuous time nonlinear system model, in which the number of teams of preys is equal to 3; namely, a continuous time three-prey one-predator model is put forward and studied. The fourth-order differential equation is established, in which the prey teams help each other. The equilibrium points and stability are analyzed. When not considering preys help each other, we study the global stability and persistence of the model without help terms. The simulation results of system solutions with help terms corresponding to locally asymptotically stable equilibrium points and without help terms corresponding to globally asymptotically stable equilibrium points are given. |
| format | Article |
| id | doaj-art-5f3cb621d5cf4984afdbdfd2ea1453b4 |
| institution | OA Journals |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-5f3cb621d5cf4984afdbdfd2ea1453b42025-08-20T02:35:16ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/88699898869989Three-Prey One-Predator Continuous Time Nonlinear System ModelJingyuan Zhang0Yan Yang1Business School, Hunan University, Changsha 410082, Hunan, ChinaBusiness School, Hunan University, Changsha 410082, Hunan, ChinaIn this paper, we propose a new multiple-prey one-predator continuous time nonlinear system model, in which the number of teams of preys is equal to 3; namely, a continuous time three-prey one-predator model is put forward and studied. The fourth-order differential equation is established, in which the prey teams help each other. The equilibrium points and stability are analyzed. When not considering preys help each other, we study the global stability and persistence of the model without help terms. The simulation results of system solutions with help terms corresponding to locally asymptotically stable equilibrium points and without help terms corresponding to globally asymptotically stable equilibrium points are given.http://dx.doi.org/10.1155/2020/8869989 |
| spellingShingle | Jingyuan Zhang Yan Yang Three-Prey One-Predator Continuous Time Nonlinear System Model Complexity |
| title | Three-Prey One-Predator Continuous Time Nonlinear System Model |
| title_full | Three-Prey One-Predator Continuous Time Nonlinear System Model |
| title_fullStr | Three-Prey One-Predator Continuous Time Nonlinear System Model |
| title_full_unstemmed | Three-Prey One-Predator Continuous Time Nonlinear System Model |
| title_short | Three-Prey One-Predator Continuous Time Nonlinear System Model |
| title_sort | three prey one predator continuous time nonlinear system model |
| url | http://dx.doi.org/10.1155/2020/8869989 |
| work_keys_str_mv | AT jingyuanzhang threepreyonepredatorcontinuoustimenonlinearsystemmodel AT yanyang threepreyonepredatorcontinuoustimenonlinearsystemmodel |