59 citations · 68 across the 7 of their papers we have counts for
12 papers
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…
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…
Spectral Monotonicity of Perturbed Quasi-positive Matrices with Applications in Population Dynamics
Shanshan Chen, Junping Shi, Zhisheng Shuai +1
Threshold values in population dynamics can be formulated as spectral bounds of matrices, determining the dichotomy of population persistence and extinction. For a square matrix $μ…
Asymptotic profiles of the steady states for an SIS epidemic patch model with asymmetric connectivity matrix
Shanshan Chen, Junping Shi, Zhisheng Shuai +1
The dynamics of an SIS epidemic patch model with asymmetric connectivity matrix is analyzed. It is shown that the basic reproduction number is strictly decreasing with respec…
Asymptotic profiles of basic reproduction number for epidemic spreading in heterogeneous environment
Shanshan Chen, Junping Shi
The effect of diffusion rates on the basic reproduction number of a general compartmental reaction-diffusion epidemic model in a heterogeneous environment is considered. It is show…