This paper is concerned with the classical two-species Lotka-Volterra diffusion system with strong competition. The sharp dynamical behavior of the solution is established in two different situations: either one species is an invasive one and the other is a native one or both are invasive species. Our results seem to be the first that provide a precise spreading speed and profile for such a strong competition system. Among other things, our analysis relies on the construction of new types of supersolution and subsolution, which are optimal in certain sense.
|Journal||Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire|
|State||Accepted/In press - 2020|
- Long-time behavior
- Lotka-Volterra diffusion system
- Spreading speed and profile
- Strong competition
- Traveling waves