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Global Asymptotic Convergence Results for Multitype Models

Rass L., Radcliffe J.

International Journal of Applied Mathematics and Computer Science

2000

Vol. 10, no 1

63-79

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.