Permanence and Almost Periodic Solutions for N-Species Nonautonomous Lotka-Volterra Competitive Systems with Delays and Impulsive Perturbations on Time Scales
We investigate a class of nonautonomous N-species Lotka-Volterra-type competitive systems with time delays and impulsive perturbations on time scales. By using comparison theorems of impulsive dynamic equations on time scales, we obtain sufficient conditions to guarantee the permanence of the system...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/2658745 |
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| _version_ | 1832547461428674560 |
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| author | Xuxu Yu Qiru Wang Yuzhen Bai |
| author_facet | Xuxu Yu Qiru Wang Yuzhen Bai |
| author_sort | Xuxu Yu |
| collection | DOAJ |
| description | We investigate a class of nonautonomous N-species Lotka-Volterra-type competitive systems with time delays and impulsive perturbations on time scales. By using comparison theorems of impulsive dynamic equations on time scales, we obtain sufficient conditions to guarantee the permanence of the system. Then based on the Massera-type theorem for impulsive dynamic equations on time scales, we establish existence and uniformly asymptotic stability of the unique positive almost periodic solution of the system. Finally, an example is employed to illustrate our main results. |
| format | Article |
| id | doaj-art-be8ba35b49f14fc497d1a76553462372 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-be8ba35b49f14fc497d1a765534623722025-02-03T06:44:39ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/26587452658745Permanence and Almost Periodic Solutions for N-Species Nonautonomous Lotka-Volterra Competitive Systems with Delays and Impulsive Perturbations on Time ScalesXuxu Yu0Qiru Wang1Yuzhen Bai2School of Mathematics, Sun Yat-sen University, Guangzhou 510275, ChinaSchool of Mathematics, Sun Yat-sen University, Guangzhou 510275, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, ChinaWe investigate a class of nonautonomous N-species Lotka-Volterra-type competitive systems with time delays and impulsive perturbations on time scales. By using comparison theorems of impulsive dynamic equations on time scales, we obtain sufficient conditions to guarantee the permanence of the system. Then based on the Massera-type theorem for impulsive dynamic equations on time scales, we establish existence and uniformly asymptotic stability of the unique positive almost periodic solution of the system. Finally, an example is employed to illustrate our main results.http://dx.doi.org/10.1155/2018/2658745 |
| spellingShingle | Xuxu Yu Qiru Wang Yuzhen Bai Permanence and Almost Periodic Solutions for N-Species Nonautonomous Lotka-Volterra Competitive Systems with Delays and Impulsive Perturbations on Time Scales Complexity |
| title | Permanence and Almost Periodic Solutions for N-Species Nonautonomous Lotka-Volterra Competitive Systems with Delays and Impulsive Perturbations on Time Scales |
| title_full | Permanence and Almost Periodic Solutions for N-Species Nonautonomous Lotka-Volterra Competitive Systems with Delays and Impulsive Perturbations on Time Scales |
| title_fullStr | Permanence and Almost Periodic Solutions for N-Species Nonautonomous Lotka-Volterra Competitive Systems with Delays and Impulsive Perturbations on Time Scales |
| title_full_unstemmed | Permanence and Almost Periodic Solutions for N-Species Nonautonomous Lotka-Volterra Competitive Systems with Delays and Impulsive Perturbations on Time Scales |
| title_short | Permanence and Almost Periodic Solutions for N-Species Nonautonomous Lotka-Volterra Competitive Systems with Delays and Impulsive Perturbations on Time Scales |
| title_sort | permanence and almost periodic solutions for n species nonautonomous lotka volterra competitive systems with delays and impulsive perturbations on time scales |
| url | http://dx.doi.org/10.1155/2018/2658745 |
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