Asymptotic properties of the positive equilibrium of a discrete survival model

作者：Li WT^*; Cheng SS

来源：Applied Mathematics and Computation, 2004, 157(1): 29-38.

DOI：10.1016/j.amc.2003.06.013

• global stability
• oscillation
• persistence
• discrete Wazewska and Lasota model
• delay difference equation

This paper is concerned with the discrete Wazewska and Lasota model
x(n+1) - x(n) = -mux(n) + pe(n-k)(-vx),
where mu is an element of (0, 1), nu, p is an element of (0, infinity) and kappa is an element of{0, 1, 2...}. We show that every positive solution of (*) is persistent, and then we provide sufficient conditions for oscillation of all solutions about x*. Finally, we give sufficient conditions for x* to be stable or attractive.

• 出版日期2004-9-27
• 单位兰州大学