Speaker
Zhisheng Shuai
(University of Central Florida)
Description
Spatiotemporal population dynamics are often modeled using reaction–diffusion equations, yet analytical insight into the role of movement and network structure remains limited. In this talk, we present a metapopulation framework based on coupled ordinary differential equations on networks, focusing on regimes where dispersal is faster than local growth. Using tools from matrix analysis and perturbation theory, including new rank-one results for group-invertible matrices, we quantify how local changes in movement affect the dominant eigenvalue, which governs population persistence. In particular, we show that increasing symmetric connectivity in weight-balanced networks can inhibit growth under fast dispersal.
Author
Zhisheng Shuai
(University of Central Florida)
