Existence and simulations of periodic solution of a three-species Lotka-Volterra predator-prey system with impulsive perturbations

Author

Wang, Kaihua ; Gui, Zhanji

Author_Institution

Sch. of Math. & Stat., Hainan Normal Univ., Haikou, China

Volume

3

fYear

2012

fDate

25-27 May 2012

Firstpage

179

Lastpage

183

Abstract

The principle aim of this paper is to explore the existence of periodic solution of a three-species periodic Lotka-Volterra predator-prey system with impulsive perturbations. Sufficient and realistic conditions are obtained by using Mawhin´s continuation theorem of the coincidence degree. Further, some numerical simulations show that our model can occur in many forms of complexities including periodic oscillation and chaotic strange attractor.

Keywords

nonlinear differential equations; numerical analysis; perturbation theory; predator-prey systems; Mawhin continuation theorem; chaotic strange attractor; impulsive perturbations; numerical simulations; periodic oscillation; periodic solution; three-species Lotka-Volterra predator-prey system; Biological system modeling; Chaos; Educational institutions; Equations; Indexes; Mathematical model; Predator prey systems; Coincidence degree theory; Impulses; Lotka-Volterra; Periodic Solution;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Science and Automation Engineering (CSAE), 2012 IEEE International Conference on

Conference_Location

Zhangjiajie

Print_ISBN

978-1-4673-0088-9

Type

conf

DOI

10.1109/CSAE.2012.6272934

Filename

6272934