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Article overview
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Permanence and almost periodic solutions for a single-species system with impulsive effects on time scales | | Yongkun Li
; Pan Wang
; Bing Li
; | | Date: |
2 Aug 2015 | | Abstract: | In this paper, we first propose a single-species system with impulsive
effects on time scales and by establishing some new comparison theorems of
impulsive dynamic equations on time scales, we obtain sufficient conditions to
guarantee the permanence of the system. Then we prove a Massera type theorem
for impulsive dynamic equations on time scales and based on this theorem, we
establish a criterion for the existence and uniformly asymptotic stability of
unique positive almost periodic solution of the system. Finally, we give an
example to show the feasibility of our main results. Our example also shows
that the continuous time system and its corresponding discrete time system have
the same dynamics. Our results of this paper are completely new. | | Source: | arXiv, 1508.0270 | | Services: | Forum | Review | PDF | Favorites | |
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