122 citations · 221 across the 39 of their papers we have counts for
8 papers · 2 filters
Logistic damping effect in chemotaxis models with density-suppressed motility
Wenbin Lyu, Zhi-An Wang
This paper is concerned with a parabolic-elliptic chemotaxis model with density-suppressed motility and general logistic source in an -dimensional smooth bounded domain with Neu…
Convergence to nonlinear diffusion waves for a hyperbolic-parabolic chemotaxis system modelling vasculogenesis
Qingqing Liu, Hongyun Peng, Zhi-An Wang
In this paper, we are concerned with a quasi-linear hyperbolic-parabolic system of persistence and endogenous chemotaxis modelling vasculogenesis in . Under some suitab…
A kinetic chemotaxis model with internal states and temporal sensing
Zhi-An Wang
By employing the Fourier transform to derive key a priori estimates for the temporal gradient of the chemical signal, we establish the existence of global solutions and hydrodynami…
Acceleration of Propagation in a chemotaxis-growth system with slowly decaying initial data
Zhi-An Wang, Wen-Bing Xu
In this paper, we study the spatial propagation dynamics of a parabolic-elliptic chemotaxis system with logistic source which reduces to the well-known Fisher-KPP equation without…
Asymptotic stability of diffusion waves of a quasi-linear hyperbolic-parabolic model for vasculogenesis
Qinging Liu, Hongyun Peng, Zhi-An Wang
In this paper, we derive the large-time profile of solutions to the Cauchy problem of a hyperbolic-parabolic system modeling the vasculogenesis in . When the initial data are…
Global classical solutions for a class of reaction-diffusion system with density-suppressed motility
Wenbin Lyu, Zhi-An Wang
This paper is concerned with a class of reaction-diffusion system with density-suppressed motility \begin{equation*} \begin{cases} u_{t}=Δ(γ(v) u)+αu F(w), & x \in Ω, \quad t>0, \\…
Asymptotic stability of exogenous chemotaxis systems with physical boundary conditions
Guangyi Hong, Zhian Wang
In this paper, we consider the exogenous chemotaxis system with physical mixed zero-flux and Dirichlet boundary conditions in one dimension. Since the Dirichlet boundary condition…
The uniform spreading speed in cooperative systems with non-uniform initial data
Ru Hou, Zhian Wang, Wen-Bing Xu +1
This paper considers the spreading speed of cooperative nonlocal dispersal system with irreducible reaction functions and non-uniform initial data. Here the non-uniformity means th…