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Applicable Analysis
An International Journal
Volume 98, 2019 - Issue 14
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Articles

Dynamics for a nonlocal competition system with a free boundary

Yaling Zhao School of Mathematical Science, Yangzhou University , Yangzhou, China.View further author information
,
Zuhan Liu School of Mathematical Science, Yangzhou University , Yangzhou, China.View further author information
&
Ling Zhou School of Mathematical Science, Yangzhou University , Yangzhou, China.Correspondence[email protected]
View further author information
Pages 2559-2588 | Received 08 Jan 2018, Accepted 08 Jan 2018, Published online: 30 May 2018
 
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ABSTRACT

In this paper, we investigate a nonlocal reaction–diffusion competition model with a free boundary and discuss the long time behavior of species. The main objective is to understand the effect of the nonlocal term in the form of an integral convolution on the dynamics of competing species. Specially, for the weak competition case, when spreading occurs, we provide some sufficient conditions to prove that two competing species stabilize at a positive constant equilibrium state. Furthermore, for the case of successful spreading, we estimate the asymptotic spreading speed of the free boundary.

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Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

The work is partially supported by PRC grant NSFC [11771380], [11401515].

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