Vertical transmission and reproduction rate: modeling a common strategy for two related diseases.
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.
Department of Mathematics, University Abdou Moumouni, P.O. Box 10 662, Niamey, Niger.
Abba Mahamane
AM
Oumarou
University of Ngaoundere, P.O. Box 454, Ngaoundere, Cameroon ; Department of Mathematics and Computer Science, AIMS - Cameroon, P.O. Box 608, Limbe, Cameroon.
Yannick Tchaptchie
0000-0002-1284-9234
YT
Kouakep
Basic reproduction rate; Differential infectivity; Vaccination