5 citations · 12 across the 6 of their papers we have counts for
10 papers
Stability and bifurcation in a reaction-diffusion-advection predator-prey model
Yihuan Sun, Shanshan Chen
A reaction-diffusion-advection predator-prey model with Holling type-II predator functional response is considered. We show the stability/instability of the positive steady state a…
The stability and Hopf bifurcation of the diffusive Nicholson's blowflies model in spatially heterogeneous environment
Dan Huang, Shanshan Chen
In this paper, we consider the diffusive Nicholson's blowflies model in spatially heterogeneous environment when the diffusion rate is large. We show that the ratio of the average…
Double Hopf bifurcation in nonlocal reaction-diffusion systems with spatial average kernel
Zuolin Shen, Shanshan Chen, Junjie Wei
In this paper, we consider a general reaction-diffusion system with nonlocal effects and Neumann boundary conditions, where a spatial average kernel is chosen to be the nonlocal ke…
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…