scholarly journals Analysis of a Lévy-diffusion Leslie-Gower predator-prey model with nonmonotonic functional response

2018 ◽  
Vol 23 (6) ◽  
pp. 2121-2151
Author(s):  
Hongwei Yin ◽  
◽  
Xiaoyong Xiao ◽  
Xiaoqing Wen ◽  
Keyword(s):  
Functional Response ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Nonmonotonic Functional Response ◽  
Lévy Diffusion ◽  
Levy Diffusion

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

2009 ◽  
Vol 02 (02) ◽  
pp. 129-138 ◽  
Author(s):  
YONG-HONG FAN ◽  
LIN-LIN WANG ◽  
MING-XIN WANG
Keyword(s):  
Normal Form ◽  
Functional Response ◽  
Bifurcation Point ◽  
Normal Form Theory ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Form Theory ◽  
Nonmonotonic Functional Response ◽  
Response Formula

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.

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