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On the stability in a discrete two-species competition system

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Abstract

The paper discusses a two-species discrete competition system. The local stability of positive equilibrium is obtained. Further, a sufficient condition for the global asymptotic stability of positive equilibrium is established by using an iteration scheme and the comparison principle of difference equations.

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Authors and Affiliations

  1. College of Mathematics and system Sciences, Xinjiang University, Urumqi, 830046, People’s Republic of China

    Guangye Chen & Zhidong Teng

Authors
  1. Guangye Chen
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  2. Zhidong Teng
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Corresponding author

Correspondence to Zhidong Teng.

Additional information

Supported by The National Natural Science Foundation of P.R. China [10961022, 10901130], The Scientific Research Programmes of Colleges in Xinjiang [XJEDU2007G01, XJEDU2006I05, XJEDU2008S10].

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Chen, G., Teng, Z. On the stability in a discrete two-species competition system. J. Appl. Math. Comput. 38, 25–39 (2012). https://doi.org/10.1007/s12190-010-0460-1

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  • DOI: https://doi.org/10.1007/s12190-010-0460-1

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