Effects of Behavioral Tactics of Predators on Dynamics of a Predator-Prey System
Joint Authors
Zhang, Hui
Jia, Lukun
Xie, Gong-Nan
Ma, Zhihui
Source
Advances in Mathematical Physics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-26
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A predator-prey model incorporating individual behavior is presented, where the predator-prey interaction is described by a classical Lotka-Volterra model with self-limiting prey; predators can use the behavioral tactics of rock-paper-scissors to dispute a prey when they meet.
The predator behavioral change is described by replicator equations, a game dynamic model at the fast time scale, whereas predator-prey interactions are assumed acting at a relatively slow time scale.
Aggregation approach is applied to combine the two time scales into a single one.
The analytical results show that predators have an equal probability to adopt three strategies at the stable state of the predator-prey interaction system.
The diversification tactics taking by predator population benefits the survival of the predator population itself, more importantly, it also maintains the stability of the predator-prey system.
Explicitly, immediate contest behavior of predators can promote density of the predator population and keep the preys at a lower density.
However, a large cost of fighting will cause not only the density of predators to be lower but also preys to be higher, which may even lead to extinction of the predator populations.
American Psychological Association (APA)
Zhang, Hui& Ma, Zhihui& Xie, Gong-Nan& Jia, Lukun. 2014. Effects of Behavioral Tactics of Predators on Dynamics of a Predator-Prey System. Advances in Mathematical Physics،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-467112
Modern Language Association (MLA)
Zhang, Hui…[et al.]. Effects of Behavioral Tactics of Predators on Dynamics of a Predator-Prey System. Advances in Mathematical Physics No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-467112
American Medical Association (AMA)
Zhang, Hui& Ma, Zhihui& Xie, Gong-Nan& Jia, Lukun. Effects of Behavioral Tactics of Predators on Dynamics of a Predator-Prey System. Advances in Mathematical Physics. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-467112
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-467112