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

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

Fan, Dejun;Hao, Pengmiao;Sun, Dongyan;
journal of mathematical biology 2018 Vol. 76 pp. 1301-1326
201
fan2018globaljournal

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.

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