Taiwanese Journal of Mathematics
- Taiwanese J. Math.
- Volume 21, Number 4 (2017), 865-880.
Existence and Stability of Coexistence States for a Reaction-diffusion-advection Model
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.
Taiwanese J. Math., Volume 21, Number 4 (2017), 865-880.
Received: 30 March 2016
Revised: 12 October 2016
Accepted: 28 October 2016
First available in Project Euclid: 27 July 2017
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Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35K57: Reaction-diffusion equations
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