Vertical transmission and reproduction rate: modeling a common strategy for two related diseases

Abba Mahamane Oumarou; Yannick Tchaptchie Kouakep

doi:10.1186/s40064-016-2096-6

Vertical transmission and reproduction rate: modeling a common strategy for two related diseases

Springerplus. 2016 Apr 14:5:452. doi: 10.1186/s40064-016-2096-6. eCollection 2016.

Authors

Abba Mahamane Oumarou¹, Yannick Tchaptchie Kouakep²

Affiliations

¹ Department of Mathematics, University Abdou Moumouni, P.O. Box 10 662, Niamey, Niger.
² University of Ngaoundere, P.O. Box 454, Ngaoundere, Cameroon ; Department of Mathematics and Computer Science, AIMS - Cameroon, P.O. Box 608, Limbe, Cameroon.

Abstract

Motivated by (Goyal and Murray in PLoS One 9(10):e110143, 2014) we consider a partially age-structured model simulating the dynamic of two infectious diseases vertically transmitted almost independently with horizontal coinfection and a common age-structured vaccination strategy. We study influence of parameters on existence and uniqueness of solutions and epidemiological equilibria. Impact of vertical transmission on basic reproduction rate is also presented.

Keywords: Basic reproduction rate; Differential infectivity; Vaccination.