51 citations · 69 across the 3 of their papers we have counts for
5 papers
From Turing Patterns to Spike Self-Replication and Nucleation in a Growing-Domain Tulip Breaking Virus Model
Fanya Xia, Chunyi Gai
A recently proposed reaction-diffusion model for the tulip breaking virus (TBV) has been shown to generate striped pigmentation patterns on growing tulip petals. In this paper, we…
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…