Analysis of a Predator–Prey Model with Sparssing Effect

Yong Po Zhang; Ming Juan Ma; Yue Shuang; Jia Hui Sun

doi:10.4028/www.scientific.net/AMR.971-973.2234

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 971-973Analysis of a Predator–Prey Model with Sparssing...

Analysis of a Predator–Prey Model with Sparssing Effect

Abstract:

In this paper we formulated and analyzed a predator-prey model with sparssing effect, analysis of the existing conditions of equilibrium point, and the sufficient condition of the local asymptotical stability of the equilibrium was studied with the method of latent root, and furthermore, by constructing a Liapunov function to get the boundary equilibrium and the positive equilibrium sufficient conditions for the globally asymptotical stability.

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Periodical:

Advanced Materials Research (Volumes 971-973)

Pages:

2234-2237

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.971-973.2234

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Online since:

June 2014

Authors:

Yong Po Zhang*, Ming Juan Ma, Yue Shuang, Jia Hui Sun

Keywords:

Equilibrium Point, Global Stability, Locally Asymptotical Stability

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* - Corresponding Author

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