Global Dynamics of a Prey-Predator Model with Antipredator Behavior and Two Predators

Joint Authors

Zhou, Yicang
Xu, Jinhu
Li, Chentong
Zhang, Yingying

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2019-06-13

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Li, Chentong& Zhang, Yingying& Xu, Jinhu& Zhou, Yicang. 2019. Global Dynamics of a Prey-Predator Model with Antipredator Behavior and Two Predators. Discrete Dynamics in Nature and Society،Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1146351

Modern Language Association (MLA)

Li, Chentong…[et al.]. Global Dynamics of a Prey-Predator Model with Antipredator Behavior and Two Predators. Discrete Dynamics in Nature and Society No. 2019 (2019), pp.1-9.
https://search.emarefa.net/detail/BIM-1146351

American Medical Association (AMA)

Li, Chentong& Zhang, Yingying& Xu, Jinhu& Zhou, Yicang. Global Dynamics of a Prey-Predator Model with Antipredator Behavior and Two Predators. Discrete Dynamics in Nature and Society. 2019. Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1146351

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1146351