Construction of Lyapunov functions for some models of infectious diseases in vivo: from simple models to complex models.

Abstract

We present a constructive method for Lyapunov functions for ordinary differential equation models of infectious diseases in vivo. We consider models derived from the Nowak-Bangham models. We construct Lyapunov functions for complex models using those of simpler models. Especially, we construct Lyapunov functions for models with an immune variable from those… (More)
DOI: 10.3934/mbe.2015.12.117

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Cite this paper

@article{Kajiwara2015ConstructionOL, title={Construction of Lyapunov functions for some models of infectious diseases in vivo: from simple models to complex models.}, author={Tsuyoshi Kajiwara and Toru Sasaki and Yasuhiro Takeuchi}, journal={Mathematical biosciences and engineering : MBE}, year={2015}, volume={12 1}, pages={117-33} }