scholarly journals Permanence of a Discrete Periodic Volterra Model with Mutual Interference and Beddington-DeAngelis Functional Response

2010 ◽  
Vol 2010 ◽  
pp. 1-11 ◽  
Author(s):  
Runxin Wu
Keyword(s):  
Difference Equation ◽  
Functional Response ◽  
Comparison Theorem ◽  
Sufficient Conditions ◽  
Mutual Interference ◽  
Volterra Model

This paper discuss a discrete periodic Volterra model with mutual interference and Beddington-DeAngelis functional response. By using the comparison theorem of difference equation, sufficient conditions are obtained for the permanence of the system. After that,we give an example to show the feasibility of our main result.

scholarly journals Permanence of a Discrete Periodic Volterra Model with Mutual Interference

2009 ◽  
Vol 2009 ◽  
pp. 1-9 ◽  
Author(s):  
Lijuan Chen ◽  
Liujuan Chen
Keyword(s):  
Functional Response ◽  
Sufficient Conditions ◽  
Mutual Interference ◽  
Volterra Model

This paper discusses a discrete periodic Volterra model with mutual interference and Holling II type functional response. Firstly, sufficient conditions are obtained for the permanence of the system. After that, we give an example to show the feasibility of our main results.

scholarly journals Permanence and Global Attractivity of Discrete Predator-Prey System with Hassell-Varley Type Functional Response

2009 ◽  
Vol 2009 ◽  
pp. 1-17 ◽  
Author(s):  
Runxin Wu ◽  
Lin Li
Keyword(s):  
Numerical Simulation ◽  
Lyapunov Function ◽  
Difference Equation ◽  
Functional Response ◽  
Comparison Theorem ◽  
Global Attractivity ◽  
Sufficient Conditions ◽  
Predator Prey ◽  
Prey System

By constructing a suitable Lyapunov function and using the comparison theorem of difference equation, sufficient conditions which ensure the permanence and global attractivity of the discrete predator-prey system with Hassell-Varley type functional response are obtained. Example together with its numerical simulation shows that the main results are verifiable.

scholarly journals Permanence and Global Attractivity of the Discrete Predator-Prey System with Hassell-Varley-Holling III Type Functional Response

2013 ◽  
Vol 2013 ◽  
pp. 1-9
Author(s):  
Runxin Wu ◽  
Lin Li
Keyword(s):  
Numerical Simulation ◽  
Lyapunov Function ◽  
Difference Equation ◽  
Functional Response ◽  
Comparison Theorem ◽  
Global Attractivity ◽  
Sufficient Conditions ◽  
Predator Prey ◽  
Prey System

By constructing a suitable Lyapunov function and using the comparison theorem of difference equation, sufficient conditions which ensure the permanence and global attractivity of the discrete predator-prey system with Hassell-Varley-Holling III type functional response are obtained. An example together with its numerical simulation shows that the main results are verifiable.

scholarly journals Permanence of a Discrete Predator-Prey Systems with Beddington-DeAngelis Functional Response and Feedback Controls

2008 ◽  
Vol 2008 ◽  
pp. 1-8 ◽  
Author(s):  
Xuepeng Li ◽  
Wensheng Yang
Keyword(s):  
Difference Equation ◽  
Functional Response ◽  
Comparison Theorem ◽  
Sufficient Conditions ◽  
Feedback Controls ◽  
Predator Prey

We propose a discrete predator-prey systems with Beddington-DeAngelis functional response and feedback controls. By applying the comparison theorem of difference equation, sufficient conditions are obtained for the permanence of the system.

Permanence of a Predator-Prey System with Beddington-DeAngelis Functional Response

2013 ◽  
Vol 772 ◽  
pp. 839-843
Author(s):  
Ting Wu
Keyword(s):  
Functional Response ◽  
Comparison Theorem ◽  
Sufficient Conditions ◽  
Predator Prey ◽  
Prey System

In this paper, a Impulsive predator-prey system with Beddington-DeAngelis functional response is studied. By applying the comparison theorem of impulsive, sufficient conditions for the permanence of the system are obtained.

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