122 citations · 214 across the 11 of their papers we have counts for
11 papers
Global solvability and stability of an alarm-taxis system
Hai-Yang Jin, Zhi-An Wang, Leyun Wu
This paper is concerned with the global boundedness and stability of classical solutions to an alarm-taxis system describing the burglar alarm hypothesis as an important mechanism…
Global dynamics in a chemotaxis model describing tumor angiogenesis with/without mitosis in any dimensions
Jiawei Chu, Haiyang Jin, Tian Xiang
In this work, we study the Neumann initial boundary value problem for a three-component chemotaxis model in any dimensional bounded and smooth domains; this model is used to descri…
Negligibility of haptotaxis effect in a chemotaxis-haptotaxis model
Hai-Yang Jin, Tian Xiang
In this work, we rigorously study chemotaxis effect versus haptotaxis effect on boundedness, blow-up and asymptotical behavior of solutions for a combined chemotaxis-haptotaxis mod…
The Keller-Segel system with logistic growth and signal-dependent motility
Hai-Yang Jin, Zhi-An Wang
The paper is concerned with the following chemotaxis system with nonlinear motility functions \begin{equation}\label{0-1}\tag{} \begin{cases} u_t=\nabla \cdot (γ(v)\nabla u-…
Boundedness and asymptotics of a reaction-diffusion system with density-dependent motility
Hai-Yang Jin, Shijie Shi, Zhi-An Wang
We consider the initial-boundary value problem of a system of reaction-diffusion equations with density-dependent motility \begin{equation*}\label{e1}\tag{} \begin{cases} u_t…
Critical mass on the Keller-Segel system with signal-dependent motility
Hai-Yang Jin, Zhi-An Wang
This paper is concerned with the global boundedness and blowup of solutions to the Keller-Segel system with density-dependent motility in a two-dimensional bounded smooth domain wi…
Global dynamics and spatio-temporal patterns of predator-prey systems with density-dependent motion
Hai-Yang Jin, Zhi-An Wang
In this paper, we investigate the global boundedness, asymptotic stability and pattern formation of predator-prey systems with density-dependent preytaxis in a two-dimensional boun…
Global stabilization of the full attraction-repulsion Keller-Segel system
Hai-Yang Jin, Zhi-An Wang
We are concerned with the following full Attraction-Repulsion Keller-Segel (ARKS) system \begin{equation}\label{ARKS}\tag{} \begin{cases} u_t=Δu-\nabla\cdot(χu\nabla v)+\nabl…
Chemotaxis effect vs logistic damping on boundedness in the 2-D minimal Keller-Segel model
Hai-Yang Jin, Tian Xiang
In this paper, we study chemotaxis effect vs logistic dampening on boundedness for the two-dimensional minimal Keller-Segel model with logistic source in a 2-D smooth and bounded d…
Convergence rates of solutions for a two-species chemotaxis-Navier-Stokes sytstem with competitive kinetics
Hai-Yang Jin, Tian Xiang
In this paper, we study the rates of convergence of supposedly given global bounded classical solutions to a two-species chemotaxis-Navier-Stokes system with Lotka-Volterra competi…
Boundedness and exponential convergence of a chemotaxis model for tumor invasion
Haiyang Jin, Tian Xiang
We revisit the following chemotaxis system modeling tumor invasion \begin{equation*} \begin{cases} u_t=Δu-\nabla \cdot(u\nabla v),& x\inΩ, t>0,\\ v_t=Δv+wz,& x\inΩ, t>0,\\ w_t=-wz,…