NOTES ON MULTIPLE BIFURCATIONS IN A DELAYED PREDATOR–PREY MODEL WITH NONMONOTONIC FUNCTIONAL RESPONSE-Reference-Cited by-同舟云学术

NOTES ON MULTIPLE BIFURCATIONS IN A DELAYED PREDATOR–PREY MODEL WITH NONMONOTONIC FUNCTIONAL RESPONSE

Published:2009-06 Issue:02 Volume:02 Page:129-138
ISSN:1793-5245
Container-title:International Journal of Biomathematics
language:en
Short-container-title:Int. J. Biomath.

Author:

FAN YONG-HONG¹²,WANG LIN-LIN²³,WANG MING-XIN¹

Affiliation:

1. Department of Mathematics, Southeast University, Nanjing, Jiangsu, 210096, P. R. China

2. School of Mathematics and Information, Ludong University, Yantai, Shandong, 264025, P. R. China

3. Department of Applied Mathematics, Beijing Institute of Technology, Beijing, 100081, P. R. China

Abstract

By using the normal form theory for RFDE developed by Faria and Magalhaes, the multi-bifurcations for a delayed predator–prey model with nonmonotonic functional response [Formula: see text] have been studied, where a, b, μ, c, m, d, and τ are all nonnegative constants. Our results show that there exists a Bogdanov–Takens bifurcation point of codimension three when τ varies and extend some conclusions in two related articles.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793524509000583

Reference15 articles.

1. A mathematical model for the continuous culture of microorganisms utilizing inhibitory substrates

2. The effect of time delay and growth rate inhibition in the bacterial treatment of wastewater

3. Kinetics of phenol oxidation by washed cells

4. Time Lag in Population Growth Response of Isochrysis Galbana to a Variable Nitrate Environment

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