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Asymptotic spreading of competition diffusion systems: The role of interspecific competitions

Published online by Cambridge University Press:  09 August 2012

GUO LIN  and
WAN-TONG LI
GUO LIN
Affiliation:
School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, P. R. China email: ling@lzu.edu.cn, wtli@lzu.edu.cn
WAN-TONG LI
Affiliation:
School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, P. R. China email: ling@lzu.edu.cn, wtli@lzu.edu.cn
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Abstract

This paper is concerned with the asymptotic spreading of competition diffusion systems, with the purpose of formulating the propagation modes of a co-invasion–coexistence process of two competitors. Using the comparison principle for competitive systems, some results on asymptotic spreading are obtained. Our conclusions imply that the interspecific competitions slow the invasion of one species and decrease the population densities in the coexistence domain. Therefore, the interspecific competitions play a negative role in the evolution of competitive communities.

Keywords

Comparison principleCo-invasion–coexistenceCompetitive invaders

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Type
Papers
Information
European Journal of Applied Mathematics , Volume 23 , Issue 6 , December 2012 , pp. 669 - 689
Copyright
Copyright © Cambridge University Press 2012

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