Open Access
Translator Disclaimer
December 2011 On stochastic logistic equation with Markovian switching and white noise
Guixin Hu, Ke Wang
Osaka J. Math. 48(4): 959-986 (December 2011).

Abstract

This paper mainly concerns with the stochastic logistic equation with Markovian switching and white noise. We represent the unique global positive solution and show some properties such as the stochastic permanence, global attractivity. The main contribution of this paper is to demonstrate that the solution is asymptotically stable in distribution. Moreover, the similar results for the stochastic Gilpin--Ayala equation with Markovian switching and white noise are yielded by the same way. Finally, we give the definition of the stochastic equilibrium solution and prove the existence and uniqueness of such equilibrium solution of stochastic logistic equation.

Citation

Download Citation

Guixin Hu. Ke Wang. "On stochastic logistic equation with Markovian switching and white noise." Osaka J. Math. 48 (4) 959 - 986, December 2011.

Information

Published: December 2011
First available in Project Euclid: 11 January 2012

zbMATH: 1239.60045
MathSciNet: MR2871289

Subjects:
Primary: 60H10 , 92B05 , 92D25

Rights: Copyright © 2011 Osaka University and Osaka City University, Departments of Mathematics

JOURNAL ARTICLE
28 PAGES


SHARE
Vol.48 • No. 4 • December 2011
Back to Top