International Journal of applied mathematics and computer science

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Paper details

Number 1 - March 2000
Volume 10 - 2000

Global asymptotic convergence results for multitype models

Linda Rass, John Radcliffe

Abstract
This paper proves global asymptotic convergence in a multitype epidemic model which encompasses both the S → I and S → I → S epidemics. Systems are considered where the infection matrix may be reducible, and for which the system may be closed or can be open with a stable population size. New global asymptotic convergence results are obtained.

Keywords
global asymptotic convergence, multitype S → I → S epidemics, stable population size, reducible systems