Global Dynamics of a Prey-Predator Model with Antipredator Behavior and Two Predators
In this work, we establish a new model of one prey and two predators with antipredator behavior. The basic properties on the positivity and boundedness of solutions and the existence of equilibria are established. Through analyzing the global dynamics, we find that there exist some values of the par...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2019/3586508 |
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| _version_ | 1832560053637349376 |
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| author | Chentong Li Yingying Zhang Jinhu Xu Yicang Zhou |
| author_facet | Chentong Li Yingying Zhang Jinhu Xu Yicang Zhou |
| author_sort | Chentong Li |
| collection | DOAJ |
| description | In this work, we establish a new model of one prey and two predators with antipredator behavior. The basic properties on the positivity and boundedness of solutions and the existence of equilibria are established. Through analyzing the global dynamics, we find that there exist some values of the parameters such that one of the predators can be driven into being extinct by another. Furthermore, the coexistence of the three species is investigated which shows that the antipredator behavior makes the species coexist by periodic oscillation. The results give a new insight into the influence of antipredator behavior in nature selection. |
| format | Article |
| id | doaj-art-a3c8228e75ea4f34a1f59bc5af67dbdc |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-a3c8228e75ea4f34a1f59bc5af67dbdc2025-02-03T01:28:36ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2019-01-01201910.1155/2019/35865083586508Global Dynamics of a Prey-Predator Model with Antipredator Behavior and Two PredatorsChentong Li0Yingying Zhang1Jinhu Xu2Yicang Zhou3School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, ChinaSchool of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, ChinaSchool of Sciences, Xi’an University of Technology, Xi’an, ChinaSchool of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, ChinaIn this work, we establish a new model of one prey and two predators with antipredator behavior. The basic properties on the positivity and boundedness of solutions and the existence of equilibria are established. Through analyzing the global dynamics, we find that there exist some values of the parameters such that one of the predators can be driven into being extinct by another. Furthermore, the coexistence of the three species is investigated which shows that the antipredator behavior makes the species coexist by periodic oscillation. The results give a new insight into the influence of antipredator behavior in nature selection.http://dx.doi.org/10.1155/2019/3586508 |
| spellingShingle | Chentong Li Yingying Zhang Jinhu Xu Yicang Zhou Global Dynamics of a Prey-Predator Model with Antipredator Behavior and Two Predators Discrete Dynamics in Nature and Society |
| title | Global Dynamics of a Prey-Predator Model with Antipredator Behavior and Two Predators |
| title_full | Global Dynamics of a Prey-Predator Model with Antipredator Behavior and Two Predators |
| title_fullStr | Global Dynamics of a Prey-Predator Model with Antipredator Behavior and Two Predators |
| title_full_unstemmed | Global Dynamics of a Prey-Predator Model with Antipredator Behavior and Two Predators |
| title_short | Global Dynamics of a Prey-Predator Model with Antipredator Behavior and Two Predators |
| title_sort | global dynamics of a prey predator model with antipredator behavior and two predators |
| url | http://dx.doi.org/10.1155/2019/3586508 |
| work_keys_str_mv | AT chentongli globaldynamicsofapreypredatormodelwithantipredatorbehaviorandtwopredators AT yingyingzhang globaldynamicsofapreypredatormodelwithantipredatorbehaviorandtwopredators AT jinhuxu globaldynamicsofapreypredatormodelwithantipredatorbehaviorandtwopredators AT yicangzhou globaldynamicsofapreypredatormodelwithantipredatorbehaviorandtwopredators |