Taiwanese Journal of Mathematics

Existence and Stability of Coexistence States for a Reaction-diffusion-advection Model

Jianhua Wu and Hailong Yuan

Full-text: Open access

Abstract

In this paper, we consider a two-species Lotka-Volterra competition model in one-dimensional spatially inhomogeneous environments. It is assumed that two competitors have the same movement strategy but slightly differing in their inter- and intra-specific competition rates. By using the Lyapunov-Schmidt reduction technique as well as some analytic skills, we find that the existence and stability of coexistence states can be determined by some scalar functions, and hence the unique coexistence state of the system is established in certain cases.

Article information

Source
Taiwanese J. Math., Volume 21, Number 4 (2017), 865-880.

Dates
Received: 30 March 2016
Revised: 12 October 2016
Accepted: 28 October 2016
First available in Project Euclid: 27 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1501120839

Digital Object Identifier
doi:10.11650/tjm/7514

Mathematical Reviews number (MathSciNet)
MR3684391

Zentralblatt MATH identifier
06871350

Subjects
Primary: 35K57: Reaction-diffusion equations

Keywords
existence stability advective environment

Citation

Wu, Jianhua; Yuan, Hailong. Existence and Stability of Coexistence States for a Reaction-diffusion-advection Model. Taiwanese J. Math. 21 (2017), no. 4, 865--880. doi:10.11650/tjm/7514. https://projecteuclid.org/euclid.twjm/1501120839


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