Title :
Delay Lotka-Volterra competition system with random perturbation
Author :
Hailong Gao ; Yanqiu Li
Author_Institution :
Dept. of Basic Sci., Jilin Archit. & Civil Eng. Inst., Changchun, China
Abstract :
This paper discusses a randomized n-species delay Lotka-Volterra competition system. We show that the positive solution of the associated stochastic delay differential equation does not explode to infinity in a finite time. In addition the existence uniqueness and boundedness of the positive solutions are studied.
Keywords :
Volterra equations; delays; stochastic processes; associated stochastic delay differential equation; delay Lotka-Volterra competition system; positive solution; random perturbation; Delays; Differential equations; Equations; Mathematical model; Noise; Sociology; Stochastic processes; Existence; Ito formula; Lyapunov-functional; Uniqueness Boundedness;
Conference_Titel :
Information Management, Innovation Management and Industrial Engineering (ICIII), 2013 6th International Conference on
Conference_Location :
Xi´an
Print_ISBN :
978-1-4799-3985-5
DOI :
10.1109/ICIII.2013.6702872
