Global stability and Hopf bifurcation of a predator-prey model with stage structure and delayed predator response

2011 ◽  
Vol 67 (2) ◽  
pp. 1683-1693 ◽  
Author(s):  
Rui Xu
Keyword(s):  
Hopf Bifurcation ◽  
Global Stability ◽  
Stage Structure ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Predator Response

scholarly journals Global Stability and Hopf Bifurcation of a Predator-Prey Model with Time Delay and Stage Structure

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
Lingshu Wang ◽  
Guanghui Feng
Keyword(s):  
Hopf Bifurcation ◽  
Global Stability ◽  
Stage Structure ◽  
Predator Prey ◽  
Infinite Dimensional ◽  
Infinite Dimensional Systems ◽  
Predator Prey Model ◽  
Persistence Theory ◽  
Lasalle Invariant Principle ◽  
Type Ii Functional Response

A delayed predator-prey system with Holling type II functional response and stage structure for both the predator and the prey is investigated. By analyzing the corresponding characteristic equations, the local stability of each of the feasible equilibria of the system is addressed and the existence of a Hopf bifurcation at the coexistence equilibrium is established. By means of persistence theory on infinite dimensional systems, it is proved that the system is permanent. By using Lyapunov functions and the LaSalle invariant principle, the global stability of each of the feasible equilibria of the model is discussed. Numerical simulations are carried out to illustrate the main theoretical results.

scholarly journals STABILITY AND HOPF BIFURCATION OF A MODIFIED DELAY PREDATOR-PREY MODEL WITH STAGE STRUCTURE

2018 ◽  
Vol 8 (2) ◽  
pp. 573-597
Author(s):  
Jing Li ◽  
◽  
Shaotao Zhu ◽  
Ruilan Tian ◽  
Wei Zhang ◽  
...  
Keyword(s):  
Hopf Bifurcation ◽  
Stage Structure ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model

scholarly journals Hopf bifurcation and stability analysis of the Rosenzweig-MacArthur predator-prey model with stage-structure in prey

2020 ◽  
Vol 17 (4) ◽  
pp. 4080-4097 ◽  
Author(s):  
Lazarus Kalvein Beay ◽  
◽  
Agus Suryanto ◽  
Isnani Darti ◽  
Trisilowati ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Hopf Bifurcation ◽  
Stage Structure ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Bifurcation And Stability
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