Asymptotic spreading of a three dimensional Lotka-Volterra cooperative-competitive system

Yubin Liu; Peixuan Weng

doi:10.3934/dcdsb.2015.20.505

Article Contents

2015, Volume 20, Issue 2: 505-518. Doi: 10.3934/dcdsb.2015.20.505

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Asymptotic spreading of a three dimensional Lotka-Volterra cooperative-competitive system

Yubin Liu^1, and
Peixuan Weng^2,

1.
School of Mathematics, South China Normal University, Guangzhou, Guangdong 510631
2.
School of Mathematics, South China Normal University, Guangzhou 510631

Received: June 30, 2013

Revised: September 30, 2014

Published: February 2015

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Abstract

This paper is concerned with a three dimensional diffusive Lotka-Volterra system which is combined with cooperative-competitive interactions between the three species. By using the method of super-sub solutions and comparison principle with cross iteration, some results on the asymptotic spreading speed of the system are established under certain assumptions on the parameters appearing in the system.

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Mathematics Subject Classification: Primary: 35K57; Secondary: 92D25.

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