activity
20152026
most citedThe dynamics of a Fisher-KPP nonlocal diffusion model with free boundaries

2 citations · 3 across the 8 of their papers we have counts for

collaborators

10 papers

math.AP2026

Global Boundedness and Finite-Time Blow-up for a Quasilinear Chemotaxis--May--Nowak System

Xueli Bai, Fang Li, Suying Liu

This paper continues the work of Bai, Li, Liu and Luo \cite{BaiLiLiuLuoPreprint} on a quasilinear chemotaxis--May--Nowak system. We establish global boundedness in three dimensions…

math.AP2026

Improved Global Boundedness Criteria via Refined Bootstrap Estimates for a Quasilinear Chemotaxis-May-Nowak System

Xueli Bai, Fang Li, Suying Liu +1

We study a quasilinear chemotaxis--May--Nowak system with nonlinear diffusion growing at least as at high densities and derive improved criteria for global existence and…

math.AP2023

Nonlocal to Local Convergence of Stefan Problems Under Optimal Convergence Condition

Xinfu Chen, Fang Li, Maolin Zhou

In this paper, we consider a free boundary problem with a nonlocal diffusion kernel function . Due to the long distance exchange effect of nonlocal diffusion, the free bounda…

math.AP2022

Optimisation of total population in logistic model with nonlocal dispersals and heterogeneous environments

Xueli Bai, Fang Li, Maolin Zhou

In this paper, we investigate the issue of maximizing the total equilibrium population with respect to resources distribution m(x) and diffusion rates d under the prescribed total…

math.AP2021

Effects of nonlocal dispersal strategies and heterogeneous environment on total population

Xueli Bai, Fang Li

In this paper, we consider the following single species model with nonlocal dispersal strategy where denote…

math.AP2021

Global dynamics of a parabolic type equation arising from the curvature flow

Xueli Bai, Fang Li, Xiaoliu Wang

This paper studies a type of degenerate parabolic problem with nonlocal term \begin{equation*} \begin{cases} u_t=u^p(u_{xx}+u-\bar{u}) & 0<t<T_{\max},\ 0<x<a, u_x(0,t)=u_x(a,t)=0 &…

math.AP2019★ 1 cited

Semi-wave and spreading speed of the nonlocal Fisher-KPP equation with free boundaries

Yihong Du, Fang Li, Maolin Zhou

In Cao, Du, Li and Li [8], a nonlocal diffusion model with free boundaries extending the local diffusion model of Du and Lin [12] was introduced and studied. For Fisher-KPP type no…

math.AP2018★ 2 cited

The dynamics of a Fisher-KPP nonlocal diffusion model with free boundaries

Jiafeng Cao, Yihong Du, Fang Li +1

We introduce and study a class of free boundary models with "nonlocal diffusion", which are natural extensions of the free boundary models in Du and Lin [17] and elsewhere, where "…

math.AP2017

Classification of global dynamics of competition models with nonlocal dispersals I: Symmetric kernels

Xueli Bai, Fang Li

In this paper, we gives a complete classification of the global dynamics of two- species Lotka-Volterra competition models with nonlocal dispersals: where K, P represent nonlocal o…

math.AP2015

Global dynamics of competition models with nonlocal dispersals I: Symmetric kernels

Xueli Bai, Fang Li

In this paper, the global dynamics of two-species Lotka-Volterra competition models with nonlocal dispersals is studied. Under the assumption that dispersal kernels are symmetric,…