Mean-Square Almost Periodic Solutions for Impulsive Stochastic Host-Macroparasite Equation on Time ScalesReport as inadecuate




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Discrete Dynamics in Nature and Society - Volume 2015 2015, Article ID 306349, 10 pages -

Research Article

Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, China

School of Mathematics, Wenshan University, Wenshan, Yunnan 663000, China

Received 26 May 2015; Accepted 26 August 2015

Academic Editor: Eric R. Kaufmann

Copyright © 2015 Pan Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We consider an impulsive stochastic host-macroparasite equation ontime scales. By use of the Banach fixed point theorem and Gronwall-Bellman’sinequality technique on time scales, we obtain the existence and exponential stabilityof mean-square almost periodic solutions for the host-macroparasite equation on timescales. Finally, we give an example to illustrate the feasibility of our results.





Author: Pan Wang, Qingmei Lin, and Yongkun Li

Source: https://www.hindawi.com/



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