DocumentCode
177033
Title
Dynamics of a stochastic ratio-dependent Leslie system
Author
Caifeng Fan ; Zuoliang Xiong ; Lifeng Wu
Author_Institution
Dept. of Math., Nanchang Univ., Nanchang, China
fYear
2014
fDate
May 31 2014-June 2 2014
Firstpage
4660
Lastpage
4665
Abstract
In this paper, we discuss a stochastic ratio-dependent Leslie system with Holling III functional response. By the comparison theorem of stochastic equations and Itô´s formula, we show that there is a unique positive solution to the system. Moreover, under some conditions, we conclude that the model is persistent in mean and extinction. In the end, we use some numerical simulations to confirm the above theoretical analysis.
Keywords
numerical analysis; predator-prey systems; stochastic processes; Holling III functional response; Itô formula; numerical simulations; predator-prey systems; stochastic equations; stochastic ratio-dependent Leslie system dynamics; Barium; Itô′s formula; persistent in mean; ratio-dependent; stochastic perturbation;
fLanguage
English
Publisher
ieee
Conference_Titel
Control and Decision Conference (2014 CCDC), The 26th Chinese
Conference_Location
Changsha
Print_ISBN
978-1-4799-3707-3
Type
conf
DOI
10.1109/CCDC.2014.6853005
Filename
6853005
Link To Document