59 citations · 120 across the 16 of their papers we have counts for
16 papers
Novel Spatial Profiles of Population Distribution of Two Diffusive SIS Epidemic Models with Mass Action Infection Mechanism and Small Movement Rate for the Infected Individuals
Rui Peng, Zhi-an Wang, Guanghui Zhang +1
In this paper, we are concerned with two SIS epidemic reaction-diffusion models with mass action infection mechanism of the form , and study the spatial profile of population d…
Enhancing Population Persistence by a Protection Zone in a Reaction-Diffusion Model with Strong Allee Effect
Yu Jin, Rui Peng, Jinfeng Wang
Protecting endangered species has been an important issue in ecology. We derive a reaction-diffusion model for a population in a one-dimensional bounded habitat, where the populati…
Propagation dynamics of a reaction-diffusion equation in a time-periodic shifting environment
Jian Fang, Rui Peng, Xiao-Qiang Zhao
This paper concerns the nonautonomous reaction-diffusion equation \[ u_t=u_{xx}+ug(t,x-ct,u), \quad t>0,x\in\mathbb{R}, \] where is the shifting speed, and the tim…
Asymptotics of the principal eigenvalue for a linear time-periodic parabolic operator II: Small diffusion
Shuang Liu, Yuan Lou, Rui Peng +1
We investigate the effect of small diffusion on the principal eigenvalues of linear time-periodic parabolic operators with zero Neumann boundary conditions in one dimensional space…
Asymptotics of the principal eigenvalue for a linear time-periodic parabolic operator I: Large advection
Shuang Liu, Yuan Lou, Rui Peng +1
We investigate the effects of advection on the principal eigenvalues of linear time-periodic parabolic operators with zero Neumann boundary conditions. Various asymptotic behaviors…
Sharp estimates for the spreading speed of the Lotka-Volterra diffusion system with strong competition
Rui Peng, Chang-Hong Wu, Maolin Zhou
This paper is concerned with the classical two-species Lotka-Volterra diffusion system with strong competition. The sharp dynamical behavior of the solution is established in two d…
Global -bounds and long-time behavior of a diffusive epidemic system in heterogeneous environment
Rui Peng, Yixiang Wu
In this paper, we are concerned with an epidemic reaction-diffusion system with nonlinear incidence mechanism of the form . The coefficients of the system are sp…
Population dynamics in river networks
Yu Jin, Rui Peng, Junping Shi
Natural rivers connect to each other to form networks. The geometric structure of a river network can significantly influence spatial dynamics of populations in the system. We cons…
Monotonicity of the principal eigenvalue for a linear time-periodic parabolic operator
Shuang Liu, Yuan Lou, Rui Peng +1
We investigate the effect of frequency on the principal eigenvalue of a time-periodic parabolic operator with Dirichlet, Robin or Neumann boundary conditions. The monotonicity and…
The role of protection zone on species spreading governed by a reaction-diffusion model with strong Allee effect
Kai Du, Rui Peng, Ningkui Sun
It is known that a species dies out in the long run for small initial data if its evolution obeys a reaction of bistable nonlinearity. Such a phenomenon, which is termed as the str…
Asymptotic behavior of the principal eigenvalue of a linear second order elliptic operator with small/large diffusion coefficient and its application
Rui Peng, Guanghui Zhang, Maolin Zhou
In this article, we are concerned with the following eigenvalue problem of a linear second order elliptic operator: \begin{equation} \nonumber -DΔϕ-2α\nabla m(x)\cdot \nablaϕ+V(x)ϕ…
The Fisher-KPP equation over simple graphs: Varied persistence states in river networks
Yihong Du, Bendong Lou, Rui Peng +1
In this article, we study the growth and spread of a new species in a river network with two or three branches via the Fisher-KPP advection-diffusion equation over some simple grap…
On a diffusive SIS epidemic model with mass action mechanism and birth-death effect: Analysis, simulations and comparison with other mechanisms
Huicong Li, Rui Peng, Zhi-An Wang
In the present paper, we are concerned with an SIS epidemic reaction-diffusion model governed by mass action infection mechanism and linear birth-death growth with no flux boundary…
Dynamics and asymptotic profiles of endemic equilibrium for two frequency-dependent SIS epidemic models with cross-diffusion
Huicong Li, Rui Peng, Tian Xiang
This paper is concerned with two frequency-dependent SIS epidemic reaction-diffusion models in heterogeneous environment, with a cross-diffusion term modeling the effect that susce…
Refined estimates for the propagation speed of the transition solution to a free boundary problem with a nonlinearity of combustion type
Chengxia Lei, Hiroshi Matsuzawa, Rui Peng +1
We are concerned with the nonlinear problem , where is of combustion type, coupled with the Stefan-type free boundary . According to [4,5], for some crit…
Effects of large degenerate advection and boundary conditions on the principal eigenvalue and its eigenfunction of a linear second order elliptic operator
Rui Peng, Maolin Zhou
In this article, we study, as the coefficient , the asymptotic behavior of the principal eigenvalue of supplemented…