International Journal of applied mathematics and computer science

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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

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.

nonnegative matrix, stability, reducible matrix, seasonality, epidemic process