45 citations · 94 across the 11 of their papers we have counts for
11 papers
Optimal Harvesting in Stream Networks: Maximizing Biomass and Yield
Tung D. Nguyen, Zhisheng Shuai, Tingting Tang +3
In this study, we develop a metapopulation model framework to identify optimal harvesting strategies for a population in a stream network. We consider two distinct optimization obj…
Impact of network connectivity on the dynamics of populations in stream environments
Tung D. Nguyen, Tingting Tang, Amy Veprauskas +2
We consider the impact of network connectivity on the dynamics of a population in a stream environment. The population is modeled using a graph theoretical framework, with habitats…
Impact of resource distributions on the competition of species in stream environment
Tung D. Nguyen, Yixiang Wu, Tingting Tang +4
Our earlier work in \cite{nguyen2022population} shows that concentrating the resources on the upstream end tends to maximize the total biomass in a metapopulation model for a strea…
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,…
On the impact of spatial heterogeneity and drift rate in a three-patch two-species Lotka-Volterra competition model over a stream
Shanshan Chen, Jie Liu, Yixiang Wu
In this paper, we study a three-patch two-species Lotka-Volterra competition patch model over a stream network. The individuals are subject to both random and directed movements, a…
Evolution of dispersal in advective patchy environments with varying drift rates
Shanshan Chen, Jie Liu, Yixiang Wu
In this paper, we study a two stream species Lotka-Volterra competition patch model with the patches aligned along a line. The two species are supposed to be identical except for t…
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…
Maximizing Metapopulation Growth Rate and Biomass in Stream Networks
Tung D. Nguyen, Yixiang Wu, Amy Veprauskas +9
We consider the logistic metapopulation model over a stream network and use the metapopulation growth rate and the total biomass (of the positive equilibrium) as metrics for differ…
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…
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…