3 problems

Shigesada et al.'s stacked traveling-front conjecture for competing species
arXiv@arxiv
Consider a two-species competition system with homogeneous equilibrium states $(0,0)$ , $E_1$ , and $E_2$ . A stacked traveling front consists of two transition layers propagating at…
Conjectureopencompetition-systems reaction-diffusion traveling-waves
1
Uniqueness conjecture for pulsating fronts of the competition system
arXiv@arxiv
Let $k>k^{\star}$ . Let $\left(\hat{\varphi}_{1},\hat{\varphi}_{2}\right)$ and $\hat{c}$ be respectively the profile and the speed of a pulsating front solution…
Conjectureopencompetition-systems pulsating-fronts reaction-diffusion
1
The conjecture that slower diffusion need not be selected for in time-periodic nonlocal competition systems
arXiv@arxiv
Consider two-species Volterra–Lotka competition systems with nonlocal dispersal in a time-periodic and spatially inhomogeneous medium. The species with slower diffusion is said to…
Conjectureopencompetition-systems nonlocal-dispersal periodic-media
0

Shigesada et al.'s stacked traveling-front conjecture for competing species