Complex dynamics of a Holling type II prey–predator system with state feedback control

2007 ◽  
Vol 31 (2) ◽  
pp. 448-461 ◽  
Author(s):  
Guirong Jiang ◽  
Qishao Lu ◽  
Linning Qian
Keyword(s):  
Feedback Control ◽  
State Feedback ◽  
Complex Dynamics ◽  
State Feedback Control ◽  
Type Ii ◽  
Predator System

scholarly journals Mathematical and Dynamic Analysis of a Prey-Predator Model in the Presence of Alternative Prey with Impulsive State Feedback Control

2012 ◽  
Vol 2012 ◽  
pp. 1-19 ◽  
Author(s):  
Chuanjun Dai ◽  
Min Zhao
Keyword(s):  
Feedback Control ◽  
State Feedback ◽  
Sufficient Conditions ◽  
State Feedback Control ◽  
Alternative Prey ◽  
Bifurcation Diagrams ◽  
Impulsive State Feedback Control ◽  
Existence And Stability ◽  
Predator Model ◽  
Predator System

The dynamic complexities of a prey-predator system in the presence of alternative prey with impulsive state feedback control are studied analytically and numerically. By using the analogue of the Poincaré criterion, sufficient conditions for the existence and stability of semitrivial periodic solutions can be obtained. Furthermore, the corresponding bifurcation diagrams and phase diagrams are investigated by means of numerical simulations which illustrate the feasibility of the main results.

scholarly journals Dynamic Complexity of an Ivlev-Type Prey-Predator System with Impulsive State Feedback Control

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
Chuanjun Dai ◽  
Min Zhao ◽  
Lansun Chen
Keyword(s):  
Feedback Control ◽  
Numerical Simulations ◽  
State Feedback ◽  
Sufficient Conditions ◽  
State Feedback Control ◽  
Bifurcation Diagrams ◽  
Dynamic Complexity ◽  
Impulsive State Feedback Control ◽  
The Stability ◽  
Predator System

The dynamic complexities of an Ivlev-type prey-predator system with impulsive state feedback control are studied analytically and numerically. Using the analogue of the Poincaré criterion, sufficient conditions for the existence and the stability of semitrivial periodic solutions can be obtained. Furthermore, the bifurcation diagrams and phase diagrams are investigated by means of numerical simulations, which illustrate the feasibility of the main results presented here.

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