DocumentCode
494990
Title
Analysis and Numerical Simulation of a Predator-Prey Model with Beddington-DeAngelis Function Response and Diffusion
Author
Xu, Shi-Ying ; Wei, Yu-Min
Author_Institution
Coll. of Sci., Minzu Univ. of China, Beijing, China
Volume
3
fYear
2009
fDate
21-22 May 2009
Firstpage
142
Lastpage
145
Abstract
In this paper, a predator-prey model with Beddington-DeAngelis function response and diffusion is studied. Uniform persistence of the system is discussed . The sufficient condition of local asymptotic stability and global asymptotic stability of the positive equilibrium is showed . Then, stability of the system is Simulated by Matlab.
Keywords
asymptotic stability; mathematics computing; partial differential equations; predator-prey systems; Beddington-DeAngelis function response; Matlab; diffusion; global asymptotic stability; local asymptotic stability; numerical simulation; predator-prey model; system stability; uniform persistence; Asymptotic stability; Biological system modeling; Educational institutions; Information analysis; Logistics; Mathematical model; Numerical simulation; Predator prey systems; Space technology; Sufficient conditions; Beddington-DeAngelis Type Function Reponse; reaction-diffusion system; stability;
fLanguage
English
Publisher
ieee
Conference_Titel
Information and Computing Science, 2009. ICIC '09. Second International Conference on
Conference_Location
Manchester
Print_ISBN
978-0-7695-3634-7
Type
conf
DOI
10.1109/ICIC.2009.241
Filename
5168824
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