59 citations · 69 across the 8 of their papers we have counts for
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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…
Global dynamics of the diffusive Lotka-Volterra competition model with stage structure
Shanshan Chen, Junping Shi
The global asymptotic behavior of the classical diffusive Lotka-Volterra competition model with stage structure is studied. A complete classification of the global dynamics is give…
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…