Abstract
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 sufficient conditions ensuring the global attractivity of the system. An example together with its numerical simulation shows the feasibility of the main results.
Highlights
The aim of this paper is to investigate the persistence and stability property of the following discrete two-prey one-predator model with infinite delays: x1 n 1 n x1 n exp a1 n − b1 n x1 n − c1 n H1 n − s x3 s, s −∞
They tried to obtain a set of sufficient conditions which ensure that 1.8 admits a unique positive and globally asymptotically stable almost periodic solution
We propose a discrete two-prey one-predator model with infinite delay
Summary
The aim of this paper is to investigate the persistence and stability property of the following discrete two-prey one-predator model with infinite delays: x1 n 1 n x1 n exp a1 n − b1 n x1 n − c1 n H1 n − s x3 s , s −∞. Corresponding to traditional continuous Logistic model governed by differential equations, Mohamad and Gopalsamy 11 proposed the following single species discrete model: xn 1 x n exp r n They tried to obtain a set of sufficient conditions which ensure that 1.8 admits a unique positive and globally asymptotically stable almost periodic solution. Chen and Chen 19 proposed the following discrete periodic Volterra model with mutual interference and Holling II type functional response xn 1 xn exp r1 n They obtained sufficient conditions which ensure the permanence of the system.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
