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Paper details
Number 1 - March 2018
Volume 28 - 2018
Stabilization of an epidemic model via an N-periodic approach
Begoña Cantó, Carmen Coll, Elena Sánchez
Abstract
We analyze the evolution of an infectious disease by combining different groups of a population when the route of transmission is via encounters with free-living virulent organisms that can survive for a long time outside the individual. This
study involves matrix analysis of lower triangular block matrices and some of their spectral properties. We propose an
N-periodic control strategy in order to stabilize the disease around the disease-free equilibrium point.
Keywords
nonnegative matrix, stability, reducible matrix, seasonality, epidemic process