Analysis of a Predator-Prey System Concerning Impulsive Effect

2009 ◽  
Author(s):  
Lingshu Wang ◽  
Guanghui Feng
Keyword(s):  
Impulsive Effect ◽  
Predator Prey ◽  
Prey System

scholarly journals Permanence and Periodic Solution of Predator-Prey System with Holling Type Functional Response and Impulses

2007 ◽  
Vol 2007 ◽  
pp. 1-15 ◽  
Author(s):  
Weibing Wang ◽  
Jianhua Shen ◽  
Juan J. Nieto
Keyword(s):  
Periodic Solution ◽  
Functional Response ◽  
Impulsive Effect ◽  
Two Dimensional ◽  
Stable Periodic Solution ◽  
Predator Prey ◽  
Prey System ◽  
Stable Periodic ◽  
Holling Type Functional Response

We considered a nonautonomous two dimensional predator-prey system with impulsive effect. Conditions for the permanence of the system and for the existence of a unique stable periodic solution are obtained.

scholarly journals Optimal Application Timing of Pest Control Tactics in Nonautonomous Pest Growth Model

2014 ◽  
Vol 2014 ◽  
pp. 1-12
Author(s):  
Shujuan Zhang ◽  
Juhua Liang ◽  
Sanyi Tang
Keyword(s):  
Pest Control ◽  
Control Strategies ◽  
Analytical Formula ◽  
Threshold Value ◽  
Living Environment ◽  
Impulsive Effect ◽  
Application Timing ◽  
Predator Prey ◽  
Prey System ◽  
The Stability

Considering the effects of the living environment on growth of populations, it is unrealistic to assume that the growth rates of predator and prey are all constants in the models with integrated pest management (IPM) strategies. Therefore, a nonautonomous predator-prey system with impulsive effect is developed and investigated in the present work. In order to determine the optimal application timing of IPM tactics, the threshold value which guarantees the stability of pest-free periodic solution has been obtained firstly. The analytical formula of optimal application timings within a given period for different cases has been obtained such that the threshold value is the smallest, which is the most effective in successful pest control. Moreover, extensively numerical investigations have also been confirmed our main results and the biological implications have been discussed in more detail. The main results can guide the farmer to design the optimal pest control strategies.

scholarly journals Global Attractor of a Predator-Prey System with Impulsive Effect and Control

2014 ◽  
Vol 6 (1) ◽  
pp. 2024-2029
Author(s):  
Chen Ning ◽  
Tian Baodan ◽  
Chen Yang ◽  
Chen Jiqian
Keyword(s):  
Global Attractor ◽  
Impulsive Effect ◽  
Predator Prey ◽  
Prey System ◽  
And Control

Dynamics of a periodic Watt-type predator–prey system with impulsive effect

2009 ◽  
Vol 39 (3) ◽  
pp. 1270-1282 ◽  
Author(s):  
Xiaoqin Wang ◽  
Weiming Wang ◽  
Xiaolin Lin
Keyword(s):  
Impulsive Effect ◽  
Predator Prey ◽  
Prey System
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