scholarly journals Hopf bifurcation analysis in a diffusive predator-prey system with delay and surplus killing effect

2018 ◽  
Vol 15 (3) ◽  
pp. 693-715 ◽  
Author(s):  
Zuolin Shen ◽  
◽  
Junjie Wei
Keyword(s):  
Hopf Bifurcation ◽  
Bifurcation Analysis ◽  
Killing Effect ◽  
Predator Prey ◽  
System With Delay ◽  
Prey System

scholarly journals Hopf Bifurcation Analysis of a Predator-Prey Biological Economic System with Nonselective Harvesting

2015 ◽  
Vol 2015 ◽  
pp. 1-10
Author(s):  
Biwen Li ◽  
Zhenwei Li ◽  
Boshan Chen ◽  
Gan Wang
Keyword(s):  
Hopf Bifurcation ◽  
Economic System ◽  
Bifurcation Analysis ◽  
Economic Perspective ◽  
Modified Model ◽  
Bifurcation Theorem ◽  
Predator Prey ◽  
Economic Profit ◽  
Prey System ◽  
Nonselective Harvesting

A modified predator-prey biological economic system with nonselective harvesting is investigated. An important mathematical feature of the system is that the economic profit on the predator-prey system is investigated from an economic perspective. By using the local parameterization method and Hopf bifurcation theorem, we analyze the Hopf bifurcation of the proposed system. In addition, the modified model enriches the database for the predator-prey biological economic system. Finally, numerical simulations illustrate the effectiveness of our results.

Hopf Bifurcation Analysis of a Predator Prey System Involving Switching

1996 ◽  
Vol 65 (3) ◽  
pp. 864-867 ◽  
Author(s):  
Q. J. A. Khan ◽  
B. S. Bhatt ◽  
R. P. Jaju
Keyword(s):  
Hopf Bifurcation ◽  
Bifurcation Analysis ◽  
Predator Prey ◽  
Prey System
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