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
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;
Conference_Titel :
Information and Computing Science, 2009. ICIC '09. Second International Conference on
Conference_Location :
Manchester
Print_ISBN :
978-0-7695-3634-7
DOI :
10.1109/ICIC.2009.241
