Asymptotic spreading of time periodic competition diffusion systems

Wei-Jian Bo; Guo Lin

doi:10.3934/dcdsb.2018116

Article Contents

2018, Volume 23, Issue 9: 3901-3914. Doi: 10.3934/dcdsb.2018116

This issue Previous Article On the initial boundary value problem of a Navier-Stokes/$Q$-tensor model for liquid crystals Next Article Stationary solutions of neutral stochastic partial differential equations with delays in the highest-order derivatives

Asymptotic spreading of time periodic competition diffusion systems

Wei-Jian Bo and
Guo Lin^,

Key Laboratory of Applied Mathematics and Complex Systems, School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, China

* Corresponding author: Guo Lin
* Corresponding author: Guo Lin

Received: March 31, 2017

Revised: October 31, 2017

Early access: April 2018

Published: September 2018

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Abstract

This paper deals with the asymptotic spreading of time periodic Lotka-Volterra competition diffusion systems, which formulates the coinvasion-coexistence process. By combining auxiliary systems with comparison principle, some results on asymptotic spreading are established. Our conclusions indicate that the coinvasions of two competitors may be successful, and the interspecific competitions slow the invasion speed of one species.

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Mathematics Subject Classification: Primary: 35K45, 35K57; Secondary: 92D25.

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