Modeling the effects of carriers on transmission dynamics of infectious diseases

Darja Kalajdzievska; Michael Yi Li

doi:10.3934/mbe.2011.8.711

Article Contents

2011, Volume 8, Issue 3: 711-722. Doi: 10.3934/mbe.2011.8.711

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Modeling the effects of carriers on transmission dynamics of infectious diseases

Darja Kalajdzievska^1, and
Michael Yi Li^2,

1.
Department of Mathematics, University of Manitoba, Winnipeg, Manitoba R3T 2N2
2.
Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta T6G 2G1

Received: September 2010

Revised: March 2011

Published: June 2011

Abstract / Introduction Related Papers Cited by

Abstract

An $S$-$I_c$-$I$-$R$ epidemic model is investigated for infectious diseases that can be transmitted through carriers, infected individuals who are contagious but do not show any disease symptoms. Mathematical analysis is carried out that completely determines the global dynamics of the model. The impacts of disease carriers on the transmission dynamics are discussed through the basic reproduction number and through numerical simulations.

Keywords:

Mathematics Subject Classification: Primary: 92D40, 92D25; Secondary: 34D20.

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