26 citations · 52 across the 4 of their papers we have counts for
4 papers
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…
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…
Time adaptive numerical solution of a highly degenerate diffusion-reaction biofilm model based on regularisation
M. Ghasemi, H. J. Eberl
We consider a quasilinear degenerate diffusion-reaction system that describes biofilm formation. The model exhibits two non-linear effects: a power law degeneracy as one of the dep…
Simulating biofilm deformation and detachment with the immersed boundary method
Rangarajan Sudarsan, Sudeshna Ghosh, John M. Stockie +1
We apply the immersed boundary (or IB) method to simulate deformation and detachment of a periodic array of wall-bounded biofilm colonies in response to a linear shear flow. The bi…