| Abstract: |
| Population dynamics are heavily influenced by spatial heterogeneity and movement. When dispersal occurs in a discrete environment, a connectivity matrix and corresponding network can be used to represent the movement. This results in a mathematical model that is a coupled dynamical system on a network. Our research focuses on the impact of the coupling strength and topological structure of the dispersal network on population dynamics. In collaboration with Shanshan Chen (Harbin Institute of Technology), Junping Shi (College of William & Mary), and Yixiang Wu (Middle Tennessee State University), our recent findings highlight the dual nature of population persistence or extinction (infectious disease invasion or eradication) in relation to the strength of dispersal. |
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