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math.AP2022★ 1 cited
Travelling waves in a PDE-ODE coupled system with nonlinear diffusion
Koondanibha Mitra, Jack M. Hughes, Stefanie Sonner +2
We analyze travelling wave (TW) solutions for nonlinear systems consisting of an ODE coupled to a degenerate PDE with a diffusion coefficient that vanishes as the solution tends to…
math.AP2022
A PDE-ODE Coupled Spatio-Temporal Mathematical Model for Fire Blight During Bloom
Michael Pupulin, Xiang-Sheng Wang, Messoud A Efendiev +2
Fire blight is a bacterial plant disease that affects apple and pear trees. We present a mathematical model for its spread in an orchard during bloom. This is a PDE-ODE coupled sys…