Title :
Stochastic permanence and extinction for one-dimensional stochastic Gilpin-Ayala systems with Markovian switching
Author :
Lei Liu ; Xiaoyan Yu
Author_Institution :
Coll. of Sci., Hohai Univ., Nanjing, China
Abstract :
In this paper, we consider the permanence, extinction for one-dimensional stochastic Gilpin-Ayala system with Markovian switching. By using Lyapunov method and some novel techniques, some sufficient conditions are obtained which ensure the permanence, extinction for the system. In the case of η = 1, sufficient and necessary conditions for permanence and extinction are obtained. Two numerical examples are provided to illustrate the effectiveness and the benefits of the proposed result.
Keywords :
Lyapunov methods; Markov processes; stochastic processes; stochastic systems; Lyapunov method; Markovian switching; one-dimensional stochastic Gilpin-Ayala system; stochastic permanence; Educational institutions; Noise; Random variables; Sociology; Statistics; Stochastic processes; Switches;
Conference_Titel :
Intelligent Control and Information Processing (ICICIP), 2014 Fifth International Conference on
Conference_Location :
Dalian
Print_ISBN :
978-1-4799-3649-6
DOI :
10.1109/ICICIP.2014.7010307
