Displaying similar documents to “An unconditionally positive and global stability preserving NSFD scheme for an epidemic model with vaccination”

Global Asymptotic Stability of a Functional Differential Model with Time Delay of an Anaerobic Biodegradation Process

Borisov, Milen, Dimitrova, Neli, Krastanov, Mikhail (2017)

Serdica Journal of Computing

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We study a nonlinear functional differential model of an anaerobic digestion process of wastewater treatment with biogas production. The model equations of biomass include two different discrete time delays. A mathematical analysis of the model is completed including existence and local stability of nontrivial equilibrium points, existence and boundedness of the model solutions as well as global stabilizability towards an admissible equilibrium point. We propose and apply a numerical...

Stability of flat interfaces during semidiscrete solidification

Andreas Veeser (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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The stability of flat interfaces with respect to a spatial semidiscretization of a solidification model is analyzed. The considered model is the quasi-static approximation of the Stefan problem with dynamical Gibbs–Thomson law. The stability analysis bases on an argument developed by Mullins and Sekerka for the undiscretized case. The obtained stability properties differ from those with respect to the quasi-static model for certain parameter values and relatively coarse meshes....