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

Ting Wu

doi:10.4028/www.scientific.net/AMR.772.839

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 772Permanence of a Predator-Prey System with...

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

Abstract:

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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Periodical:

Advanced Materials Research (Volume 772)

Pages:

839-843

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.772.839

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Online since:

September 2013

Authors:

Ting Wu

Keywords:

Beddington-DeAngelis Functional Response, Comparison Theory of Impulsive, Permanence, Predator-Prey System

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References

[1] T. Wu. Permanence for nonautonomous Lotka-Volterra tow species cooperatative systems, Bulletin of Science and Technology, 25(6) (2009) 743-746.

Google Scholar

[2] T. Wu. Permanence of Discrete Predator-prey System with infinite delay Beddington-DeAngelis functional response, ournal of Minjiang University(natural science edition), 31(5)(2010)1-5.

Google Scholar

[3] C.W. Clark. Mathematical Bioeconomics: The Optimal Management of Renewable Resources, Wiley, New York, (1976).

Google Scholar

[4] Y.H. Far W.T. Li, lobal asymptotic stability of a ratio-dependent predator-prey system with diffusion, J Comput Appl Math, 188(2006)205-227.

Google Scholar

[5] T. K. Kar. Management of a fishery based on continuous fishing effort, Nonlinear Analysis : Real World Applications , 5（2004）629-644.

DOI: 10.1016/j.nonrwa.2004.01.003

Google Scholar

[6] T.K. Kar. Modelling and analysis of a harvested prey-predat system incorporating a prey refuge, Comput. Appl. Math, 186(2006) 19-33.

DOI: 10.1016/j.cam.2005.01.035

Google Scholar

[7] V. Laksmikantham, D.D. Bainov and P.S. Simeonov. Theory of impulsive differential equation[M], World Scientific, Singapore, (1989).

Google Scholar

[8] l.S. Chen, J. Chen, Nonlinear Bio-Dynamic System[M], Sichuan Science and Technology Press, Brijing, (1993).

Google Scholar

[9] G. Birkoff, G.C. Rota, Ordinary differential equations, Ginn, (1982).

Google Scholar