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: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/306349 |
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| _version_ | 1841524853646032896 |
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| author | Pan Wang Qingmei Lin Yongkun Li |
| author_facet | Pan Wang Qingmei Lin Yongkun Li |
| author_sort | Pan Wang |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-4d0465cc94ea4727b32dbb61eb0b9ee0 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-4d0465cc94ea4727b32dbb61eb0b9ee02025-02-03T05:47:08ZengWileyDiscrete 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2015/306349 |
| work_keys_str_mv | AT panwang meansquarealmostperiodicsolutionsforimpulsivestochastichostmacroparasiteequationontimescales AT qingmeilin meansquarealmostperiodicsolutionsforimpulsivestochastichostmacroparasiteequationontimescales AT yongkunli meansquarealmostperiodicsolutionsforimpulsivestochastichostmacroparasiteequationontimescales |