Title :
The Predator-Prey system with √X Functional Response with random perturbation
Author :
Li, Yanqiu ; Fan, Jizhang
Author_Institution :
Res. Inst. of Synthetic Inf., Jilin Univ., Changchun, China
Abstract :
This paper discusses a randomized 2-species Predator-Prey system with special Functional Response. We show that the solution of the associated stochastic differential equation does not explode to infinity in a finite time. In addition, the existence, uniqueness and asymptotic estimates of the solutions are studied.
Keywords :
differential equations; perturbation theory; predator-prey systems; random processes; stochastic processes; √X functional response; associated stochastic differential equation; random perturbation; randomized 2-species predator-prey system; Delay; Equations; Mathematical model; Noise; Predator prey systems; Sociology; Stochastic processes; Asymptotic estimates; Itô´s formula; Randomized Predator-Prey system with √X Functional Response;
Conference_Titel :
Information Management, Innovation Management and Industrial Engineering (ICIII), 2012 International Conference on
Conference_Location :
Sanya
Print_ISBN :
978-1-4673-1932-4
DOI :
10.1109/ICIII.2012.6339921
