A5000374033- Mathematical and Theoretical Epidemiology and Ecology Models
- Evolution and Genetic Dynamics
- Nonlinear Differential Equations Analysis
- Fractional Differential Equations Solutions
- Mathematical Biology Tumor Growth
- Nonlinear Partial Differential Equations
- COVID-19 epidemiological studies
- Advanced Mathematical Physics Problems
- Nonlinear Photonic Systems
- Evolutionary Game Theory and Cooperation
- Animal Ecology and Behavior Studies
- Nonlinear Dynamics and Pattern Formation
Henan University
2023
Lanzhou University
2019-2022
Lanzhou University of Finance and Economics
2021
<p style='text-indent:20px;'>In this short review, we describe some recent developments on the spatial propagation for diffusion problems in shifting environments, including single species models, competition/cooperative models and chemotaxis submitted to classical reaction-diffusion equations (with or without free boundaries), integro-difference equations, lattice differential nonlocal dispersal equations. The considered topics may typically come from modeling threats associated with...
This paper is concerned with the asymptotic propagations for a nonlocal dispersal population model shifting habitats. In particular, we verify that invading speed of species determined by c habitat edge and behaviours near infinity species’ growth rate which nondecreasing along positive spatial direction. case where declines negative , conclude extinction occurs if > *(∞), while < spreading happens leftward min{− *(∞)} rightward *(∞) minimum KPP travelling wave associated at infinity....
<p style='text-indent:20px;'>This paper is concerned with the wave phenomena in a compartmental epidemic model nonlocal dispersal and relapse. We first show well-posedness of solutions for such problem. Then, terms basic reproduction number speed, we establish threshold result which reveals existence non-existence strong traveling waves accounting phase transitions between disease-free equilibrium endemic steady state. Further, clarify characterize minimal speed waves. Finally,...
<p style='text-indent:20px;'>This paper is concerned with the nonlocal dispersal equations inhomogeneous bistable nonlinearity in one dimension. The varying consists of two spatially independent nonlinearities, which are connected by a compact transition region. We establish existence unique entire solution connecting traveling wave solutions pertaining to different nonlinearities. In particular, we use "squeezing" technique show that equation approaching from infinity, after going...
This paper is concerned with the spatial propagation of nonlocal dispersal equations bistable or multistable nonlinearity in exterior domains. We obtain existence and uniqueness an entire solution which behaves like a planar wave front as time goes to negative infinity. In particular, some disturbances on profile happen comes interior domain. But disappear far away from Furthermore, we prove that can gradually recover its continue propagate same direction positive infinity for compact convex...