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 |
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| creator | Ainseba, B.E. Bouguima, S.M. Fekih, S. |
| description | 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. |
| doi_str_mv | 10.1016/j.nonrwa.2015.09.010 |
| format | Article |
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| subjects | Age-structure Banach space Consistency Epidemics Global existence Horizontal Mapping Mathematical analysis Mathematical models Mathematics Nonlinearity Positivity Reaction diffusion SIS epidemic models Vertical transmission |
| title | Biological consistency of an epidemic model with both vertical and horizontal transmissions |
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