4 papers
Sharp estimates for the spreading speeds of the Lotka-Volterra competition-diffusion system: the strong-weak type
Chang-Hong Wu, Dongyuan Xiao, Maolin Zhou
We consider the classical two-species Lotka-Volterra competition-diffusion system in the strong-weak competition case. When the corresponding minimal speed of the traveling waves i…
Lotka-Volterra competition-diffusion system: the critical competition case
Matthieu Alfaro, Dongyuan Xiao
We consider the reaction-diffusion competition system in the so-called {\it critical competition case}. The associated ODE system then admits infinitely many equilibria, which make…
On a three-component degenerate reaction-diffusion model for the population of farmers and hunter-gatherers
Dongyuan Xiao
In this paper, we investigate the expanding patterns and spreading speed of solutions of farmer and hunter-gatherer model which is a three-component degenerate reaction-diffusion s…
Spreading properties of a three-component reaction-diffusion model for the population of farmers and hunter-gatherers
Dongyuan Xiao, Mori Ryunosuke
In this paper, we investigate the spreading properties of solutions of farmer and hunter-gatherer model which is a three-component reaction-diffusion system. Ecologically, the mode…