scholarly journals On the Positive Almost Periodic Solutions of a Class of Lotka–Volterra Type Systems with Delays

2000 ◽  
Vol 249 (2) ◽  
pp. 433-444 ◽  
Author(s):  
Teng Zhidong
Keyword(s):  
Periodic Solutions ◽  
Type Systems ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Volterra Type ◽  
Positive Almost Periodic Solutions

scholarly journals On the Positive Almost Periodic Solutions of a Class of Nonlinear Lotka-Volterra Type System with Feedback Control

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Ni Hua ◽  
Tian Li-Xin ◽  
Yao Hong-Xing
Keyword(s):  
Fixed Point ◽  
Periodic Solutions ◽  
Sufficient Conditions ◽  
Type System ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Volterra Type ◽  
Variable Substitution ◽  
The Fixed Point Theorem ◽  
Positive Almost Periodic Solutions

With the help of the variable substitution and applying the fixed point theorem, we derive the sufficient conditions which guarantee the existence of the positive almost periodic solutions for a class of Lotka-Volterra type system. The main results improve and generalize the former corresponding results.

scholarly journals Global Stability of Positive Periodic Solutions and Almost Periodic Solutions for a Discrete Competitive System

2015 ◽  
Vol 2015 ◽  
pp. 1-13 ◽  
Author(s):  
Heping Ma ◽  
Jianguo Gao ◽  
Lingling Xie
Keyword(s):  
Asymptotic Stability ◽  
Lyapunov Function ◽  
Periodic Solutions ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Positive Periodic Solutions ◽  
Competitive System ◽  
Competitive Model ◽  
Uniformly Asymptotic Stability ◽  
Positive Almost Periodic Solutions

A discrete two-species competitive model is investigated. By using some preliminary lemmas and constructing a Lyapunov function, the existence and uniformly asymptotic stability of positive almost periodic solutions of the system are derived. In addition, an example and numerical simulations are presented to illustrate and substantiate the results of this paper.

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