Global Attractivity for Lasota–Wazewska-Type System with Patch Structure and Multiple Time-Varying Delays-Reference-Cited by-同舟云学术

Global Attractivity for Lasota–Wazewska-Type System with Patch Structure and Multiple Time-Varying Delays

Published:2020-01-17 Issue: Volume:2020 Page:1-7
ISSN:1076-2787
Container-title:Complexity
language:en
Short-container-title:Complexity

Author:

Long Zhiwen¹²^ORCID,Tan Yanxiang³

Affiliation:

1. School of Mathematics and Finance, Hunan University of Humanities, Science and Technology, Loudi, Hunan 417000, China

2. School of Mathematics Science, Changsha Normal University, Changsha, Hunan 410100, China

3. School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, Hunan 410114, China

Abstract

This paper aims to study the asymptotic behavior of Lasota–Wazewska-type system with patch structure and multiple time-varying delays. Based on the fluctuation lemma and some differential inequality techniques, we prove that the positive equilibrium is a global attractor of the addressed system with small time delay. Finally, we provide an example to illustrate the feasibility of the theoretical results.

Funder

Natural Science Foundation of Hunan Province

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

Link

http://downloads.hindawi.com/journals/complexity/2020/1947809.pdf

Reference19 articles.

1. Almost Periodic Solutions of Lasota–Wazewska-type Delay Differential Equation

2. Positive almost periodic solution for a class of Lasota–Wazewska model with multiple time-varying delays

3. Pseudo almost periodic solutions for a Lasota–Wazewska model with an oscillating death rate