On the existence and stability of a unique almost periodic solution of Schoener’s competition model with pure-delays and impulsive effects. (English) Zbl 1256.34074

Zhang, Tianwei; Li, Yongkun; Ye, Yuan

Commun. Nonlinear Sci. Numer. Simul. 17, No. 3, 1408-1422 (2012).

The authors consider a 2D Schoener’s competition system with pure-delays, bounded almost periodic coefficients and impulsive effects. By using the results of [Y. Nakata and Y. Muroya, Nonlinear Anal., Real World Appl. 11, No. 1, 528–534 (2010; Zbl 1186.34119)] and a Lyapunov functional, they present a theorem on permanence, and an existence result about a unique uniformly asymptotically stable positive almost periodic solution.

Reviewer: Peixuan Weng (Guangzhou)

MSC:

34K60	Qualitative investigation and simulation of models involving functional-differential equations
92D25	Population dynamics (general)
34K14	Almost and pseudo-almost periodic solutions to functional-differential equations
34K25	Asymptotic theory of functional-differential equations
34K20	Stability theory of functional-differential equations

Keywords:

2D Schoener’s competition system; delay; almost periodic system; asymptotical stability; almost periodic solution

Citations:

Zbl 1186.34119

References:

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