Global attractivity of a discrete cooperative system incorporating harvesting

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

Dynamic Behaviors of a Discrete Two Species Predator-Prey System Incorporating Harvesting

A discrete two species predator-prey captured system is studied. Firstly, a sufficient condition of a positive equilibrium point for this system is obtained. Secondly, we observe that the two nonnegative equilibriums of the system are unstable through the eigenvalue discriminant method, and the positive equilibrium point is asymptotically stable by Jury criterion. Lastly, we obtain the optimal ...

Permanence and Global Attractivity of a Discrete Nicholson’s Blowflies Model with Delay

In this paper, we consider a discrete Nicholson’s blowflies model with delay. By constructing suitable Lyapunov functional, a sufficient condition for the permanence and global attractivity of the system is obtained. An example together with its numerical simulation shows the feasibility of our main results.

Permanence and Global Attractivity of a Discrete Two-Prey One-Predator Model with Infinite Delay

Correspondence should be addressed to Zhong Li, [email protected] Received 4 February 2009; Revised 2 July 2009; Accepted 15 August 2009 Recommended by Leonid Berezansky A discrete two-prey one-predator model with infinite delay is proposed. A set of sufficient conditions which guarantee the permanence of the system is obtained. By constructing a suitable Lyapunov functional, we also obtain ...

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.