Modeling the effects of carriers on transmission dynamics of infectious diseases

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

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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: 01 September 2010 Accepted: 29 June 2018 Published: 01 June 2011
MSC : Primary: 92D40, 92D25; Secondary: 34D20.

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.
- Lyapunov functions.,
- epidemic models,
- global stability,
- Disease carriers
Citation: Darja Kalajdzievska, Michael Yi Li. Modeling the effects of carriers on transmission dynamics of infectious diseases[J]. Mathematical Biosciences and Engineering, 2011, 8(3): 711-722. doi: 10.3934/mbe.2011.8.711

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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.
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