2 citations · 3 across the 5 of their papers we have counts for
4 papers · 1 filter
Global dynamics of a general competition diffusion system in spatially heterogeneous environments
Qi Wang
In this paper, we study a diffusive Lotka-Volterra competition model under homogeneous Dirichlet boundary conditions. We shall discuss the effects of dispersal rate and spatial het…
An Optimal Mass Transport Method for Random Genetic Drift
José A. Carrillo, Lin Chen, Qi Wang
We propose and analyze an optimal mass transport method for a random genetic drift problem driven by a Moran process under weak-selection. The continuum limit, formulated as a reac…
Stationary Ring and Concentric-Ring Solutions of the Keller-Segel Model with Quadratic Diffusion
Lin Chen, Fanze Kong, Qi Wang
This paper investigates the Keller-Segel model with quadratic cellular diffusion over a disk in with a focus on the formation of its nontrivial patterns. We obtain ex…
Phase transitions and bump solutions of the Keller-Segel model with volume exclusion
Jose A. Carrillo, Xinfu Chen, Qi Wang +2
We show that the Keller-Segel model in one dimension with Neumann boundary conditions and quadratic cellular diffusion has an intricate phase transition diagram depending on the ch…