caa a22 4500 60549746X CHVBK 20210128100541.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s10441-015-9255-y doi (NATIONALLICENCE)springer-10.1007/s10441-015-9255-y Mathematical Analysis of the Effects of HIV-Malaria Co-infection on Workplace Productivity [Elektronische Daten] [Baba Seidu, Oluwole Makinde, Ibrahim Seini] In this paper, a nonlinear dynamical system is proposed and qualitatively analyzed to study the dynamics and effects of HIV-malaria co-infection in the workplace. Basic reproduction numbers of sub-models are derived and are shown to have LAS disease-free equilibria when their respective basic reproduction numbers are less than unity. Conditions for existence of endemic equilibria of sub-models are also derived. Unlike the HIV-only model, the malaria-only model is shown to exhibit a backward bifurcation under certain conditions. Conditions for optimal control of the co-infection are derived using the Pontryagin's maximum principle. Numerical experimentation on the resulting optimality system is performed. Using the incremental cost-effectiveness ratio, it is observed that combining preventative measures for both diseases is the best strategy for optimal control of HIV-malaria co-infection at the workplace. Springer Science+Business Media Dordrecht, 2015 HIV nationallicence Malaria nationallicence Optimal control nationallicence Productivity nationallicence Seidu Baba Applied Mathematics Department, Faculty of Mathematical Sciences, University for Development, Navrongo, Ghana aut Makinde Oluwole Faculty of Military Science, Stellenbosch University, Private Bag X2, 7395, Saldanha, South Africa aut Seini Ibrahim Applied Mathematics Department, Faculty of Mathematical Sciences, University for Development, Navrongo, Ghana aut Acta Biotheoretica Springer Netherlands 63/2(2015-06-01), 151-182 0001-5342 63:2<151 2015 63 10441 https://doi.org/10.1007/s10441-015-9255-y text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10441-015-9255-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Seidu Baba Applied Mathematics Department, Faculty of Mathematical Sciences, University for Development, Navrongo, Ghana aut NATIONALLICENCE 700 1- Makinde Oluwole Faculty of Military Science, Stellenbosch University, Private Bag X2, 7395, Saldanha, South Africa aut NATIONALLICENCE 700 1- Seini Ibrahim Applied Mathematics Department, Faculty of Mathematical Sciences, University for Development, Navrongo, Ghana aut NATIONALLICENCE 773 0- Acta Biotheoretica Springer Netherlands 63/2(2015-06-01), 151-182 0001-5342 63:2<151 2015 63 10441