Biological consistency of an epidemic model with both vertical and horizontal transmissions

Biological consistency of an epidemic model with both vertical and horizontal transmissions

A system of nonlinear integro-differential equations is investigated. The model describes an age structured S.I.S system of a disease with horizontal and vertical transmission. Global well-posedness is proved in L1space. The method is based on the contraction fixed point theorem. We exhibit a closed...

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Veröffentlicht in:Nonlinear analysis: real world applications 2016-04, Vol.28, p.192-207
Hauptverfasser: Ainseba, B.E., Bouguima, S.M., Fekih, S.
Format: Artikel
Sprache:eng
Schlagworte:
Age-structure
Banach space
Consistency
Epidemics
Global existence
Horizontal
Mapping
Mathematical analysis
Mathematical models
Mathematics
Nonlinearity
Positivity
Reaction diffusion
SIS epidemic models
Vertical transmission
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Zusammenfassung:A system of nonlinear integro-differential equations is investigated. The model describes an age structured S.I.S system of a disease with horizontal and vertical transmission. Global well-posedness is proved in L1space. The method is based on the contraction fixed point theorem. We exhibit a closed subset of a Banach space, on which a certain mapping is a strict contraction.
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2015.09.010