Mean-Square Almost Periodic Solutions for Impulsive Stochastic Host-Macroparasite Equation on Time Scales

We consider an impulsive stochastic host-macroparasite equation on time scales. By use of the Banach fixed point theorem and Gronwall-Bellman’s inequality technique on time scales, we obtain the existence and exponential stability of mean-square almost periodic solutions for the host-macroparasite e...

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Main Authors:	Pan Wang, Qingmei Lin, Yongkun Li
Format:	Article
Language:	English
Published:	Hindawi Limited 2015-01-01
Series:	Discrete Dynamics in Nature and Society
Online Access:	http://dx.doi.org/10.1155/2015/306349

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spelling	doaj-4d0465cc94ea4727b32dbb61eb0b9ee02020-11-24T22:25:53ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/306349306349Mean-Square Almost Periodic Solutions for Impulsive Stochastic Host-Macroparasite Equation on Time ScalesPan Wang0Qingmei Lin1Yongkun Li2Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaSchool of Mathematics, Wenshan University, Wenshan, Yunnan 663000, ChinaDepartment of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaWe consider an impulsive stochastic host-macroparasite equation on time scales. By use of the Banach fixed point theorem and Gronwall-Bellman’s inequality technique on time scales, we obtain the existence and exponential stability of mean-square almost periodic solutions for the host-macroparasite equation on time scales. Finally, we give an example to illustrate the feasibility of our results.http://dx.doi.org/10.1155/2015/306349
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Pan Wang Qingmei Lin Yongkun Li
spellingShingle	Pan Wang Qingmei Lin Yongkun Li Mean-Square Almost Periodic Solutions for Impulsive Stochastic Host-Macroparasite Equation on Time Scales Discrete Dynamics in Nature and Society
author_facet	Pan Wang Qingmei Lin Yongkun Li
author_sort	Pan Wang
title	Mean-Square Almost Periodic Solutions for Impulsive Stochastic Host-Macroparasite Equation on Time Scales
title_short	Mean-Square Almost Periodic Solutions for Impulsive Stochastic Host-Macroparasite Equation on Time Scales
title_full	Mean-Square Almost Periodic Solutions for Impulsive Stochastic Host-Macroparasite Equation on Time Scales
title_fullStr	Mean-Square Almost Periodic Solutions for Impulsive Stochastic Host-Macroparasite Equation on Time Scales
title_full_unstemmed	Mean-Square Almost Periodic Solutions for Impulsive Stochastic Host-Macroparasite Equation on Time Scales
title_sort	mean-square almost periodic solutions for impulsive stochastic host-macroparasite equation on time scales
publisher	Hindawi Limited
series	Discrete Dynamics in Nature and Society
issn	1026-0226 1607-887X
publishDate	2015-01-01
description	We consider an impulsive stochastic host-macroparasite equation on time scales. By use of the Banach fixed point theorem and Gronwall-Bellman’s inequality technique on time scales, we obtain the existence and exponential stability of mean-square almost periodic solutions for the host-macroparasite equation on time scales. Finally, we give an example to illustrate the feasibility of our results.
url	http://dx.doi.org/10.1155/2015/306349
work_keys_str_mv	AT panwang meansquarealmostperiodicsolutionsforimpulsivestochastichostmacroparasiteequationontimescales AT qingmeilin meansquarealmostperiodicsolutionsforimpulsivestochastichostmacroparasiteequationontimescales AT yongkunli meansquarealmostperiodicsolutionsforimpulsivestochastichostmacroparasiteequationontimescales
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Mean-Square Almost Periodic Solutions for Impulsive Stochastic Host-Macroparasite Equation on Time Scales

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