Stabilization of an epidemic model via an N-periodic approach

• Autorzy: Cantó B. , Coll C. , Sánchez E.

Identyfikatory

DOI

10.2478/amcs-2018-0014

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

nonnegative matrix; reducible matrix; seasonality; epidemic process

PL

macierz nieujemna; macierz redukowalna; proces epidemiczny

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2018
• Tom: Vol. 28, no. 1
• Strony: 185--195
• Opis fizyczny: Bibliogr. 20 poz., rys., wykr.

Twórcy

autor

Cantó B.

• Institute for Multidisciplinary Mathematics, Technical University of Valencia, Camino de Vera, 14, 46022 Valencia, Spain

autor

Coll C.

• Institute for Multidisciplinary Mathematics, Technical University of Valencia, Camino de Vera, 14, 46022 Valencia, Spain

autor

Sánchez E.

• Institute for Multidisciplinary Mathematics, Technical University of Valencia, Camino de Vera, 14, 46022 Valencia, Spain

Bibliografia

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• [18] Wijaya, K.P., Sutimin, Soewono, E. and G¨otz, T. (2017). On the existence of a nontrivial equilibrium in relation to the basic reproductive number, International Journal of Applied Mathematics and Computer Science 27(3): 623–636, DOI: 10.1515/amcs-2017-0044.
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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).