兰州大学机构库 >数学与统计学院
Effects of Behavioral Tactics of Predators on Dynamics of a Predator-Prey System
Zhang, Hui1; Ma, Zhihui2; Xie, Gongnan3; Jia, Lukun4
2014
Source PublicationAdvances in Mathematical Physics   Impact Factor & Quartile Of Published Year  The Latest Impact Factor & Quartile
ISSN1687-9120
Pages-
AbstractA 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.
Subject AreaPhysics
PublisherHINDAWI
DOI10.1155/2014/375236
Publication PlaceNEW YORK
Indexed BySCIE
Language英语
First Inst
Funding Project国家自然科学基金项目
Project NumberNational Natural Science Foundation of China [31300310, 71171163, 71271171, 11301238] ; Foundation Sciences Northwestern Polytechnical University [GDKY1007] ; International Cooperation and Exchanges NSFC [71311120091] ; Shaanxi Province Science and Technology Research and Development Programm [2014KW03-01]
WOS IDWOS:000337398300001
Funding OrganizationNSFC
SubtypeArticle
Department[Zhang, Hui] Northwestern Polytech Univ, Sch Nat & Appl Sci, Dept Appl Math, Xian 710027, Shaanxi, Peoples R China;
[Ma, Zhihui] Lanzhou Univ, Sch Math & Stat, Inst Bioinformat, Lanzhou 730000, Peoples R China;
[Xie, Gongnan] Northwestern Polytech Univ, Sch Mech Engn, Xian 710027, Cleveland, Peoples R China;
[Jia, Lukun] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
Citation statistics
Document Type期刊论文
Identifierhttps://ir.lzu.edu.cn/handle/262010/118879
Collection数学与统计学院
Corresponding AuthorZhang, Hui
Affiliation
1.Northwestern Polytech Univ, Sch Nat & Appl Sci, Dept Appl Math, Xian 710027, Shaanxi, Peoples R China
2.Lanzhou Univ, Sch Math & Stat, Inst Bioinformat, Lanzhou 730000, Peoples R China
3.Northwestern Polytech Univ, Sch Mech Engn, Xian 710027, Cleveland, Peoples R China
4.Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
Recommended Citation
GB/T 7714
Zhang, Hui,Ma, Zhihui,Xie, Gongnan,et al. Effects of Behavioral Tactics of Predators on Dynamics of a Predator-Prey System[J]. Advances in Mathematical Physics,2014:-.
APA Zhang, Hui,Ma, Zhihui,Xie, Gongnan,&Jia, Lukun.(2014).Effects of Behavioral Tactics of Predators on Dynamics of a Predator-Prey System.Advances in Mathematical Physics,-.
MLA Zhang, Hui,et al."Effects of Behavioral Tactics of Predators on Dynamics of a Predator-Prey System".Advances in Mathematical Physics (2014):-.
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