Biological consistency of an epidemic model with both vertical and horizontal transmissions. (April 2016)

• Record Type: Journal Article
• Authors: Ainseba, B.E.; Bouguima, S.M.; Fekih, S.
• Is Part Of: Nonlinear analysis. Volume 28(2016)
• Page Start: 192
• Page End: 207
• Publication Date: 2016-04
• Subjects: SIS epidemic models -- Age-structure -- Reaction diffusion -- Vertical transmission -- Global existence -- Positivity; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2015.09.010
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: 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 L 1 space. 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.