<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

Stabilization of an epidemic model via an N-periodic approach

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Stabilization of an epidemic model via an N-periodic approach"}

We analyze the evolution of an infectious disease by combining different groups of a population when the route of transmission is via encounters with...

Stabilization of an epidemic model via an N-periodic approach

Published Online: Mar 31, 2018

Page range: 185 - 195

Received: Feb 27, 2017

Accepted: Sep 25, 2017

DOI: https://doi.org/10.2478/amcs-2018-0014

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

© by Elena Sánchez

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Stabilization of an epidemic model via an N-periodic approach

Published Online: Mar 31, 2018

Page range: 185 - 195

Received: Feb 27, 2017

Accepted: Sep 25, 2017

DOI: https://doi.org/10.2478/amcs-2018-0014

Keywordsnonnegative matrix, stability, reducible matrix, seasonality, epidemic process

© by Elena Sánchez

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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