Vertical transmission and reproduction rate: modeling a common strategy for two related diseases
Abba Mahamane Oumarou1, Yannick Tchaptchie Kouakep2
1Department of Mathematics, University Abdou Moumouni, P.O. Box 10 662, Niamey, Niger.
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.
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