51 citations · 69 across the 3 of their papers we have counts for
4 papers · 1 filter
Localized Pattern Formation and Oscillatory Instabilities in a Three-component Gierer Meinhardt Model
Chunyi Gai, Fahad Al Saadi
In this paper, we introduce a three-component Gierer-Meinhardt model in the semi-strong interaction regime, characterized by an asymptotically large diffusivity ratio. A key featur…
An Asymptotic Analysis of Spike Self-Replication and Spike Nucleation of Reaction-Diffusion Patterns on Growing 1-D Domains
Chunyi Gai, Edgardo Villar-Sepulveda, Alan Champneys +1
In the asymptotic limit of a large diffusivity ratio, certain two-component reaction-diffusion (RD) systems can admit localized spike solutions on a 1-D finite domain in a far-from…
Qualitative analysis of a Lotka-Volterra competition system with advection
Chunyi Gai, Qi Wang, Jingda Yan
We study a diffusive Lotka-Volterra competition system with advection under Neumann boundary conditions. Our system models a competition relationship that one species escape from t…
Qualitative analysis of stationary Keller-Segel chemotaxis models with logistic growth
Qi Wang, Jingda Yan, Chunyi Gai
We study the stationary Keller--Segel chemotaxis models with logistic cellular growth over a one-dimensional region subject to the Neumann boundary condition. We show that nonconst…