Dynamic Behaviors of a Discrete Two Species Competitive Model

Ting Wu

doi:10.4028/www.scientific.net/AMR.773.729

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 773Dynamic Behaviors of a Discrete Two Species...

Dynamic Behaviors of a Discrete Two Species Competitive Model

Abstract:

This paper studies a discrete Competitive model and provides a set of sufficient conditions for the existence and stability of the equilibrium of the model. By obtaining the optimal harvest strategy of the two equilibrium model through the Lagrange multiplier method and discrete pontrjagin maximum principle, it provides a theoretical direction for the actual production.

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Periodical:

Advanced Materials Research (Volume 773)

Pages:

729-733

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.773.729

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Online since:

September 2013

Authors:

Ting Wu

Keywords:

Competitive Model, Discrete, Equilibrium, Harvesting, Lagrange Multipliers, Stability

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References

[1] T. Wu, Permanence of a Discrete N-species Competition-predator System with Beddington-DeAngelis Functional Response, Pure and Applied Mathematics, 2011, 27(4): 437-441. in Chinese.

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[2] T. Wu, Permanence and stability of a class SIR epidemic discrete model, Bulletin of Science and Technology, 2011, 27(6): 830-832. in Chinese.

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[3] T. Wu, Harvest Analysis of the Predator - prey System with the Toxicity Functional Response, Mathematics in Practice and Theory, 2011, 41(23): 242-245. in Chinese.

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[4] T. Wu, Harvest strategy of discrete Leslic predator-prey system, Ecological Science, 2012, 31(1): 31-34. in Chinese.

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[5] T. Wu, Dynamic behaviors of a discrete two species predator-prey system incorporating harvesting, Discrete Dynamics in Nature and Society, 2012, (8): 1-12.

DOI: 10.1155/2012/429076

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