Positive Periodic Solutions in a Discrete Time Three Species Competition System

Positive Periodic Solutions in a Discrete Time Three Species Competition System

A periodic discrete time three species competition system is investigated. With the aid of differential equations with piecewise constant arguments, a discrete analogue of continuous nonautonomous three species competition system is proposed. By using Gaines andMawhin’s continuation theorem of coincidence degree theory, sufficient conditions for the existence of positive periodic solutions of t...

Existence and Global Stability of Positive Periodic Solutions of a Discrete Delay Competition System

The existence and the global stability of positive periodic solutions of a discrete competitionmodel is studied. Themodel incorporates time delays and allows for a fluctuating environment. Bymeans of some standard procedures of the topological degree method and the construction of a suitable Lyapunov function, sufficient conditions are obtained to ensure the existence and the global stability o...

Multiple positive periodic solutions for a food-limited two-species Gilpin-Ayala competition patch system with periodic harvesting terms

Four Positive Periodic Solutions of a Discrete Time Lotka-volterra Competitive System with Harvesting Terms

In this paper, by using Mawhin’s continuation theorem of coincidence degree theory, we establish the existence of at least four positive periodic solutions for a discrete time Lotka-Volterra competitive system with harvesting terms. An example is given to illustrate the effectiveness of our results.

Existence of Positive Periodic Solutions for a Class of n-Species Competition Systems with Impulses