Impulsive state feedback control of predator-prey system with Hassell-Varley functional response

2017 ◽  
Author(s):  
Yan Yan ◽  
Wang Kaihua ◽  
Gui Zhanji
Keyword(s):  
Feedback Control ◽  
Functional Response ◽  
State Feedback ◽  
State Feedback Control ◽  
Predator Prey ◽  
Impulsive State Feedback Control ◽  
Prey System

scholarly journals Periodic Solution of Prey-Predator Model with Beddington-DeAngelis Functional Response and Impulsive State Feedback Control

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
Chunjin Wei ◽  
Lansun Chen
Keyword(s):  
Periodic Solution ◽  
Feedback Control ◽  
Functional Response ◽  
State Feedback ◽  
Sufficient Conditions ◽  
State Feedback Control ◽  
Impulsive Effects ◽  
Impulsive State Feedback Control ◽  
Predator Model ◽  
Order One Periodic Solution

A prey-predator model with Beddington-DeAngelis functional response and impulsive state feedback control is investigated. We obtain the sufficient conditions of the global asymptotical stability of the system without impulsive effects. By using the geometry theory of semicontinuous dynamic system and the method of successor function, we obtain the system with impulsive effects that has an order one periodic solution, and sufficient conditions for existence and stability of order one periodic solution are also obtained. Finally, numerical simulations are performed to illustrate our main results.

scholarly journals Chemostat Model of Competition between Plasmid-Bearing and Plasmid-Free Organism with the Impulsive State Feedback Control

2018 ◽  
Vol 2018 ◽  
pp. 1-10
Author(s):  
Fengmei Tao ◽  
Zhong Zhao ◽  
Lansun Chen
Keyword(s):  
Feedback Control ◽  
State Feedback ◽  
Impulsive Control ◽  
Continuous System ◽  
Threshold Value ◽  
State Feedback Control ◽  
Qualitative Properties ◽  
Chemostat Model ◽  
Impulsive State Feedback Control ◽  
The Stability

In this paper, we propose a chemostat model of competition between plasmid-bearing and plasmid-free organism with the impulsive state feedback control. The sufficient condition for existence of the positive period-1 solution is obtained by means of successor function and the qualitative properties of the corresponding continuous system. We show that the impulsive control system is more effective than the corresponding continuous system if we choose a suitable threshold value of the state feedback control in the process of manufacturing the desired products through genetically modified techniques. Furthermore, a new method of proving the stability of the order-1 periodic solution is given based on the theory of the limit cycle of the continuous dynamical system. Finally, mathematical results are justified by some numerical simulations.

Studies on the dynamics of a continuous bioprocess with impulsive state feedback control☆

2010 ◽  
Vol 157 (2-3) ◽  
pp. 558-567 ◽  
Author(s):  
Yuan Tian ◽  
Kaibiao Sun ◽  
Lansun Chen ◽  
Andrzej Kasperski
Keyword(s):  
Feedback Control ◽  
State Feedback ◽  
State Feedback Control ◽  
Impulsive State Feedback Control
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