59 citations · 120 across the 16 of their papers we have counts for
4 papers · 1 filter
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…