A degenerate reaction-diffusion SIR model is proposed for interconnected regions with dynamic boundary conditions, and its well-posedness is proven along with numerical simulations showing effects of migration and restrictions.
John Wiley & Sons
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A graph-based advection framework shows directional movement from environmental gradients creates asymmetric flows and population hotspots at high in-degree nodes while raising local extinction risk under strong advection or corridor loss.
Solutions of graph reaction-diffusion equations on sequences of graphs converging in cut norm to a graphon converge in L^p to the solution of a limiting graphon RD equation, with a corresponding large-numbers result for stochastic particle processes.
citing papers explorer
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A degenerate reaction-diffusion SIR model in interconnected regions
A degenerate reaction-diffusion SIR model is proposed for interconnected regions with dynamic boundary conditions, and its well-posedness is proven along with numerical simulations showing effects of migration and restrictions.
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A graph based advection framework for climate-driven species distribution
A graph-based advection framework shows directional movement from environmental gradients creates asymmetric flows and population hotspots at high in-degree nodes while raising local extinction risk under strong advection or corridor loss.
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Graphon Limits of Graph Reaction--Diffusion Equations
Solutions of graph reaction-diffusion equations on sequences of graphs converging in cut norm to a graphon converge in L^p to the solution of a limiting graphon RD equation, with a corresponding large-numbers result for stochastic particle processes.