Global attractivity in a competition system with feedback controls

Permanence and Global Attractivity of a Delayed Discrete Predator-Prey System with General Holling-Type Functional Response and Feedback Controls

Recommended by Leonid Berezansky This paper discusses a delayed discrete predator-prey system with general Holling-type functional response and feedback controls. Firstly, sufficient conditions are obtained for the permanence of the system. After that, under some additional conditions, we show that the periodic solution of the system is global stable.

Global Attractivity and Periodic Solution of a Discrete Multispecies Cooperation and Competition Predator-Prey System

GLOBAL ATTRACTIVITY OF AN n-SPECIES NONAUTONOMOUS “PURE-DELAY-TYPE” COMPETITION SYSTEM

Abstract. In this paper, we study a non-autonomous n-species “pure-delay-type” competitive system, which can be seen as the generalization of the traditional “puredelay-type” Lotka-Volterra competition system. By constructing a suitable Lyapunov functional, some sufficient conditions which guarantee the global attractivity of the positive solutions of the system are obtained. An example shows t...

Membrane Research in a Global Context Requires Collaboration, not Competition!

Permanence of a Discrete n-Species Schoener Competition System with Time Delays and Feedback Controls

A discrete n-species Schoener competition system with time delays and feedback controls is proposed. By applying the comparison theorem of difference equation, sufficient conditions are obtained for the permanence of the system.