Non-autonomous dynamics of a semi-Kolmogorov population model with periodic forcing

被引：16

作者：

Caraballo, Tomas ^{[1
]}

Colucci, Renato ^{[2
]}

Han, Xiaoying ^{[3
]}

机构：

[1] Univ Seville, Dept Ecuac Diferenciales & Anal Numer, Apdo Correos 1160, Seville 41080, Spain

[2] Xian Jiaotong Liverpool Univ, Dept Math Sci, SIP, 111 Renai Rd, Suzhou 215123, Peoples R China

[3] Auburn Univ, Dept Math & Stat, 221 Parker Hall, Auburn, AL 36849 USA

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2016年 / 31卷

关键词：

Nonautonomous dynamical system; Population dynamics; Pullback attractor; HAUSDORFF DIMENSION; ATTRACTORS; STABILITY;

D O I：

10.1016/j.nonrwa.2016.03.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study a semi-Kolmogorov type of population model, arising from a predator-prey system with indirect effects. In particular we are interested in investigating the population dynamics when the indirect effects are time dependent and periodic. We first prove the existence of a global pullback attractor. We then estimate the fractal dimension of the attractor, which is done for a subclass by using Leonov's theorem and constructing a proper Lyapunov function. To have more insights about the dynamical behavior of the system we also study the coexistence of the three species. Numerical examples are provided to illustrate all the theoretical results. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：661 / 680

页数：20

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