4 citations · 7 across the 9 of their papers we have counts for
9 papers
Vanishing-spreading dichotomy in a two-species chemotaxis competition system with a free boundary
Lianzhang Bao, Wenxian Shen
Predicting the evolution of expanding population is critical to control biological threats such as invasive species and virus explosion. In this paper, we consider a two species ch…
Pattern formation in a cell migration model with aggregation and diffusion
Lianzhang Bao
In this paper, we study pattern formations in an aggregation and diffusion cell migration model with Dirichlet boundary condition. The formal continuum limit of the model is a nonl…
Numerical study of vanishing and spreading dynamics of chemotaxis systems with logistic source and a free boundary
Lei Yang, Lianzhang Bao
The current paper is to investigate the numerical approximation of logistic type chemotaxis models in one space dimension with a free boundary. Such a model with a free boundary de…
Logistic type attraction-repulsion chemotaxis systems with a free boundary or unbounded boundary. II. Spreading-vanishing dichotomy in a domain with a free boundary
Lianzhang Bao, Wenxian Shen
The current series of research papers is to investigate the asymptotic dynamics in logistic type chemotaxis models in one space dimension with a free boundary or unbounded boundary…
Optimal resource control in reaction diffusion advection population model
Lianzhang Bao, Huilai Li, Haojian Liang +1
This paper is to investigate the control problem of maximizing the net benefit of a single species while the cost of the resource allocation is minimized in a population model whic…
Lattice and Continuum Models Analysis of the Aggregation Diffusion Cell Movement
Lianzhang Bao, Zhengfang Zhou
The process by which one may take a discrete model of a biophysical process and construct a continuous model based on it is of mathematical interest as well as being of practical u…
On weak closure of some diffusion equations
Menglan Liao, Lianzhang Bao, Baisheng Yan
We study the closure of approximating sequences of some diffusion equations under certain weak convergence. A specific description of the closure under weak -convergence is gi…
Interfacial behaviors of the backward forward diffusion convection equations
Lianzhang Bao
This paper is devoted to the interfacial behaviors of a class of backward forward diffusion convection equations. Under the assumption that the equations have classical solutions i…
Logistic type attraction-repulsion chemotaxis systems with a free boundary or unbounded boundary. I. Asymptotic dynamics in fixed unbounded domain
Lianzhang Bao, Wenxian Shen
The current series of research papers is to investigate the asymptotic dynamics in logistic type chemotaxis models in one space dimension with a free boundary or an unbounded bound…