45 citations · 145 across the 20 of their papers we have counts for
20 papers
Hopf bifurcation and periodic solutions in a coupled Brusselator model of chemical reactions
Shanshan Chen, Yihuan Sun
In this paper, we consider a coupled Brusselator model of chemical reactions, for which no symmetry for the coupling matrices is assumed. We show that the model can undergoes a Hop…
Dynamics of a delayed population patch model with the dispersion matrix incorporating population loss
Dan Huang, Shanshan Chen
In this paper, we consider a general single population model with delay and patch structure, which could model the population loss during the dispersal. It is shown that the model…
Analysis of a Reaction-Diffusion Susceptible-Infected-Susceptible Epidemic Patch Model Incorporating Movement Inside and Among Patches
Shanshan Chen, Yixiang Wu
In this paper, we propose and analyze a reaction-diffusion susceptible-infected-susceptible (SIS) epidemic patch model. The individuals are assumed to reside in different patches,…
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…
Evolution of dispersal in advective patchy environments
Shanshan Chen, Junping Shi, Zhisheng Shuai +1
We study a two-species competition model in a patchy advective environment, where the species are subject to both directional drift and undirectional random dispersal between patch…
Global dynamics of a Lotka-Volterra competition patch model
Shanshan Chen, Junping Shi, Zhisheng Shuai +1
The global dynamics of the two-species Lotka-Volterra competition patch model with asymmetric dispersal is classified under the assumptions of weak competition and the weighted dig…
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…
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…
Global stability of epidemic models with imperfect vaccination and quarantine on scale-free networks
Shanshan Chen, Michael Small, Xinchu Fu
Public health services are constantly searching for new ways to reduce the spread of infectious diseases, such as public vaccination of asymptomatic individuals, quarantine (isolat…
Spatial nonhomogeneous periodic solutions induced by nonlocal prey competition in a diffusive predator-prey model
Shanshan Chen, Junjie Wei, Kaiqi Yang
The diffusive Holling-Tanner predator-prey model with no-flux boundary conditions and nonlocal prey competition is considered in this paper. We show the existence of spatial nonhom…
Hopf bifurcation for a delayed diffusive logistic population model in the advective heterogeneous environment
Shanshan Chen, Junjie Wei, Xue Zhang
In this paper, we investigate a delayed reaction-diffusion-advection equation, which models the population dynamics in the advective heterogeneous environment. The existence of the…
Hopf bifurcation in a delayed reaction-diffusion-advection population model
Shanshan Chen, Yuan Lou, Junjie Wei
In this paper, we investigate a reaction-diffusion-advection model with time delay effect. The stability/instability of the spatially nonhomogeneous positive steady state and the a…
Stationary patterns of a diffusive predator-prey model with Crowley-Martin functional response
Shanshan Chen, Junjie Wei, Jinzhu Yu
A diffusive predator-prey system with predator interference and Neumann boundary conditions is considered in this paper. We derive some results on the existence and nonexistence of…
Dynamics of a diffusive predator-prey model: the effect of conversion rate
Shanshan Chen, Junjie Wei, Jianhui Zhang
A general diffusive predator-prey model is investigated in this paper. We prove the global attractivity of constant equilibria when the conversion rate is small, and the non-existe…
Transmission dynamics of an SIS model with age structure on heterogeneous networks
Shanshan Chen, Michael Small, Yizhou Tao +1
Age at infection is often an important factor in epidemic dynamics. In this paper a disease transmission model of SIS type with age dependent infection on a heterogeneous network i…