Almost Periodic Solution of a Discrete Multispecies Lotka-Volterra Competition Predator-prey System
Hui Zhang, Feng Feng, Xingyu Xie, Chunmei Chen
Journal of Scientific Research and Reports · pp. 203–219 · Published 15 Dec 2014
10.9734/JSRR/2015/14332Abstract
In this paper, we consider an almost periodic discrete multispecies Lotka-Volterra competition predator-prey system. By the almost periodicity, sufficient conditions which guarantee the existence of a unique globally attractive almost periodic solution are obtained. An suitable example together with numerical simulation indicates the feasibility of the main results.
References (21)
- 1 The existence of almost periodic solutions for a class of differential equations with piecewise constant argument [DOI]
- 2 Permanence and global attractivity of a discrete multispecies Lotka–Volterra competition predator–prey systems [DOI]
- 3 Almost periodic solutions for a discrete fishing model with feedback control and time delays [DOI]
- 4 On the existence and stability of a unique almost periodic sequence solution in discrete predator–prey models with time delays [DOI]
- 5 Permanence and almost periodic sequence solution for a discrete delay logistic equation with feedback control [DOI]
- 6 The existence of almost periodic solutions of retarded differential equations with piecewise constant argument [DOI]
- 7 Almost periodic and almost automorphic solutions of linear differential/difference equations without Favard's separation condition. II [DOI]
- 8 Positive almost periodic solutions for a delay logarithmic population model [DOI]
- 9 Liapunov functions and almost periodic solutions for almost periodic systems [DOI]
- 10 Almost periodic solutions of a discrete almost periodic logistic equation [DOI]
- 11 Permanence and almost periodic solution of a Lotka–Volterra model with mutual interference and time delays [DOI]
- 12 Periodic solution and almost periodic solution of impulsive Lasota–Wazewska model with multiple time-varying delays [DOI]
- 13 Global stability of almost periodic solution of multispecies mutualism system with time delays and impulsive effects [DOI]
- 14 Existence of an almost periodic solution in a difference equation by Liapunov functions
- 15 An almost periodic solution for an impulsive two-species logarithmic population model with time-varying delay [DOI]
- 16 Global attractivity and almost periodic solution of a discrete mutualism model with delays [DOI]
- 17 Global Analysis of Almost Periodic Solution of a Discrete Multispecies Mutualism System [DOI]
- 18 Periodic and almost periodic solutions of a nonlinear single species discrete model with feedback control [DOI]
- 19 Extinction and almost periodic solutions of a discrete Gilpin–Ayala type population model [DOI]
- 20 Extreme stability and almost periodicity in a discrete logistic equation [DOI]
- 21 Almost Periodic Solution of a Discrete Schoener’s Competition Model with Delays [DOI]
Cited by 2
Hui Zhang, Feng Feng, Xiaofeng Fang, Jing Wang · Journal of Scientific Research and Reports · 2015
Showing 1 of 2 known citations — external sources report more than can currently be individually listed.
Related research
- Global Stability of Almost Periodic Solution of a Discrete Multispecies Gilpin-Ayala Mutualism System — shares topic coverage
- Almost Periodic Solution of a Discrete Multispecies Type Competition-predator System — shares topic coverage
- Existence and Uniqueness of Positive Almost Periodic Solutions for a Class of Impulsive Lotka-Volterra Cooperation Models with Delays — shares topic coverage
- Global Attractivity and Almost Periodic Solution of a Discrete Multispecies Lotka-Volterra Mutualism System with Feedback Controls — shares topic coverage
- Existence and Uniqueness of almost Non-Negative Periodic Solution for a Class of Generalized Sine-Gordon Equation — shares topic coverage
Article metrics
Real usage data collected on this platform.
70
Page views
0
PDF downloads
25
Outbound clicks
2
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.