59 citations · 69 across the 8 of their papers we have counts for
7 papers · 1 filter
Global stability of spatially nonhomogeneous steady state solution in a diffusive Holling-Tanner predator-prey model
Wenjie Ni, Junping Shi, Mingxin Wang
The global stability of the nonhomogeneous positive steady state solution to a diffusive Holling-Tanner predator-prey model in a heterogeneous environment is proved by using a newl…
Effect of spatial average on the spatiotemporal pattern formation of reaction-diffusion systems
Qingyan Shi, Junping Shi, Yongli Song
Some quantities in the reaction-diffusion models from cellular biology or ecology depend on the spatial average of density functions instead of local density functions. We show tha…
Existence and stability of steady state solutions of reaction-diffusion equations with nonlocal delay effect
Wenjie Zuo, Junping Shi
A general reaction-diffusion equation with spatiotemporal delay and homogeneous Dirichlet boundary condition is considered. The existence and stability of positive steady state sol…
Stability of Synchronized Steady State Solution of Diffusive Lotka-Volterra Predator-Prey Model
Yongyan Huang, Fuyi Li, Junping Shi
We study the reaction-diffusion Lotka-Volterra predator-prey model with Dirichlet boundary condition. In the case of equal diffusion rates and equal growth rates, the synchronized…
Dynamics of a Reaction-Diffusion Benthic-Drift Model with Strong Allee Effect Growth
Yan Wang, Junping Shi
The dynamics of a reaction-diffusion-advection benthic-drift population model that links changes in the flow regime and habitat availability with population dynamics is studied. In…
Global stability of nonhomogeneous equilibrium solution for the diffusive Lotka-Volterra competition model
Wenjie Ni, Junping Shi, Mingxin Wang
A diffusive Lotka-Volterra competition model is considered for the combined effect of spatial dispersal and spatial variations of resource on the population persistence and exclusi…