45 citations · 145 across the 20 of their papers we have counts for
5 papers · 1 filter
Hopf bifurcation of a delayed single population model with patch structure
Shanshan Chen, Zuolin Shen, Junjie Wei
In this paper, we show the existence of Hopf bifurcation of a delayed single population model with patch structure. The effect of the dispersal rate on the Hopf bifurcation is cons…
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…