Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/de-gruyter/almost-periodic-solution-of-a-discrete-competitive-system-with-delays-J20LRNj1hC
References (24)
-
Z. Wang, Yongkun Li (2010)
Almost Periodic Solutions of a Discrete Mutualism Model with Feedback ControlsDiscrete Dynamics in Nature and Society, 2010
-
张书年 (2000)
EXISTENCE OF ALMOST PERIODIC SOLUTIONS FOR DIFFERENCE SYSTEMS -
F. Ayala, M. Gilpin, J. Ehrenfeld (1973)
Competition between species: theoretical models and experimental tests.Theoretical population biology, 4 3
-
(2014)
Dynamic Behaviors of Cooperation Populations Models, 2014, Beijing -
Kun-Yi Yang, Zhanshuai Miao, Fengde Chen, Xiangdong Xie (2016)
Influence of single feedback control variable on an autonomous Holling-II type cooperative systemJournal of Mathematical Analysis and Applications, 435
-
Fengde Chen (2007)
Permanence of a discrete N-species cooperation system with time delays and feedback controlsAppl. Math. Comput., 186
-
Tianwei Zhang, Xiao-rong Gan (2014)
Almost periodic solutions for a discrete fishing model with feedback control and time delaysCommun. Nonlinear Sci. Numer. Simul., 19
-
(2014)
Almost periodic solutions for a discrete shing model with feedback control and time delays -
Y. Rong, Jialin Hong (1997)
The existence of almost periodic solutions for a class of differential equations with piecewise constant argumentNonlinear Analysis-theory Methods & Applications, 28
-
(1997)
The existence of almost periodic solutions for a class of di erential equations with piecewise constant argument, Nonlinear Analysis: Theory -
(2018)
Global attractivity and extinction of a discrete competitive system with in nite delays and single feedback control, Discrete Dynamics in Nature and Society, 2018 -
Lijuan Chen, Liujuan Chen, Zhong Li (2009)
Permanence of a delayed discrete mutualism model with feedback controlsMath. Comput. Model., 50
-
Shunian Zhang, Guangfu Zheng (2002)
Almost periodic solutions of delay difference systemsAppl. Math. Comput., 131
-
Ronghua Tan, Lvli Liao (2015)
A Delay Almost Periodic Competitive System in Discrete TimeDiscrete Dynamics in Nature and Society, 2015
-
Yalong Xue, Xiangdong Xie, Qifa Lin, Fengde Chen (2018)
Global Attractivity and Extinction of a Discrete Competitive System with Infinite Delays and Single Feedback ControlDiscrete Dynamics in Nature and Society
-
Chaoquan Lei (2018)
Dynamic behaviors of a non-selective harvesting May cooperative system incorporating partial closure for the populations, 2018
-
Xitao Yang (2006)
Uniform persistence and periodic solutions for a discrete predator–prey system with delays☆Journal of Mathematical Analysis and Applications, 316
-
Yongkun Li, Tianwei Zhang (2012)
ALMOST PERIODIC SOLUTION FOR A DISCRETE HEMATOPOIESIS MODEL WITH TIME DELAYInternational Journal of Biomathematics, 05
-
(2000)
Existence of almost periodic solutions for di erence system -
(2000)
Existence of almost periodic solutions for difference system -
(2002)
Almost periodic solutions of delay di erence systems -
(1997)
The existence of almost periodic solutions for a class of di erential equations with piecewise constant argument -
K. Gopalsamy (1992)
Stability and Oscillations in Delay Differential Equations of Population Dynamics -
(2010)
Almost periodic solutions of a discrete mutualismmodel with feedback controls
- Publisher
- de Gruyter
- Copyright
- © 2019 Xue et al., published by De Gruyter
- ISSN
- 2391-5455
- eISSN
- 2391-5455
- DOI
- 10.1515/math-2019-0009
- Publisher site
- See Article on Publisher Site
Abstract
AbstractA discrete nonlinear almost periodic multispecies competitive system with delays and feedback controls is proposed and investigated. We obtain sufficient conditions to ensure the permanence of the system. Also, we establish a criterion for the existence and uniformly asymptotic stability of unique positive almost periodic solution of the system. In additional, an example together with its numerical simulation are presented to illustrate the feasibility of the main result.
Journal
Open Mathematics – de Gruyter
Published: Mar 19, 2019