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Permanence and Almost Periodic Solutions for N-Species Nonautonomous Lotka-Volterra Competitive Systems with Delays and Impulsive Perturbations on Time Scales
Joint Authors
Bai, Yuzhen
Yu, Xuxu
Wang, Qi-Ru
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-10-09
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Yu, Xuxu& Wang, Qi-Ru& Bai, Yuzhen. 2018. Permanence and Almost Periodic Solutions for N-Species Nonautonomous Lotka-Volterra Competitive Systems with Delays and Impulsive Perturbations on Time Scales. Complexity،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1133313
Modern Language Association (MLA)
Yu, Xuxu…[et al.]. Permanence and Almost Periodic Solutions for N-Species Nonautonomous Lotka-Volterra Competitive Systems with Delays and Impulsive Perturbations on Time Scales. Complexity No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1133313
American Medical Association (AMA)
Yu, Xuxu& Wang, Qi-Ru& Bai, Yuzhen. Permanence and Almost Periodic Solutions for N-Species Nonautonomous Lotka-Volterra Competitive Systems with Delays and Impulsive Perturbations on Time Scales. Complexity. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1133313
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1133313