Global stability of multi-group viral models with general incidence functions.

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ID: 69739
2018
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Abstract
In this paper, strongly connected and non-strongly connected multi-group viral models with time delays and general incidence functions are considered. Employing the Lyapunov functional method and a graph-theoretic approach, we show that the global dynamics of the strongly connected system are determined by the basic reproduction number under some reasonable conditions for incidence functions. In addition, we find a more complex and more interesting result for multi-group viral models with non-strongly connected networks because of the basic reproduction numbers corresponding to each strongly connected component. Finally, we provide simulations for non-strongly connected multi-group viral models to support our conclusion.
Reference Key
fan2018globaljournal Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Fan, Dejun;Hao, Pengmiao;Sun, Dongyan;
Journal journal of mathematical biology
Year 2018
DOI
10.1007/s00285-017-1178-6
URL
Keywords
global stability network connectivity lyapunov functional multi-group viral model

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