Chaos in a Discrete Delay Population Model-Reference-Cited by-同舟云学术

Chaos in a Discrete Delay Population Model

Published:2012 Issue: Volume:2012 Page:1-14
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Li Zongcheng¹,Zhao Qingli¹,Liang Di¹

Affiliation:

1. Department of Mathematics, Shandong Jianzhu University, Shandong, Jinan 250101, China

Abstract

This paper is concerned with chaos in a discrete delay population model. The map of the model is proved to be chaotic in the sense of both Devaney and Li-Yorke under some conditions, by employing the snap-back repeller theory. Some computer simulations are provided to visualize the theoretical result.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2012/482459.pdf

Reference32 articles.

1. On the oscillation and asymptotic behavior of 𝑁̇(𝑡)=𝑁(𝑡)[𝑎+𝑏𝑁(𝑡-𝜏)-𝑐𝑁²(𝑡-𝜏)]

2. Stability, bifurcation and a new chaos in the logistic differential equation with delay

3. Critical values of stability and Hopf bifurcations for a delayed population model with delay-dependent parameters

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