Mathematical Analysis of the Effects of HIV-Malaria Co-infection on Workplace Productivity
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| 024 | 7 | 0 | |a 10.1007/s10441-015-9255-y |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10441-015-9255-y | ||
| 245 | 0 | 0 | |a Mathematical Analysis of the Effects of HIV-Malaria Co-infection on Workplace Productivity |h [Elektronische Daten] |c [Baba Seidu, Oluwole Makinde, Ibrahim Seini] |
| 520 | 3 | |a 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. | |
| 540 | |a Springer Science+Business Media Dordrecht, 2015 | ||
| 690 | 7 | |a HIV |2 nationallicence | |
| 690 | 7 | |a Malaria |2 nationallicence | |
| 690 | 7 | |a Optimal control |2 nationallicence | |
| 690 | 7 | |a Productivity |2 nationallicence | |
| 700 | 1 | |a Seidu |D Baba |u Applied Mathematics Department, Faculty of Mathematical Sciences, University for Development, Navrongo, Ghana |4 aut | |
| 700 | 1 | |a Makinde |D Oluwole |u Faculty of Military Science, Stellenbosch University, Private Bag X2, 7395, Saldanha, South Africa |4 aut | |
| 700 | 1 | |a Seini |D Ibrahim |u Applied Mathematics Department, Faculty of Mathematical Sciences, University for Development, Navrongo, Ghana |4 aut | |
| 773 | 0 | |t Acta Biotheoretica |d Springer Netherlands |g 63/2(2015-06-01), 151-182 |x 0001-5342 |q 63:2<151 |1 2015 |2 63 |o 10441 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10441-015-9255-y |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10441-015-9255-y |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Seidu |D Baba |u Applied Mathematics Department, Faculty of Mathematical Sciences, University for Development, Navrongo, Ghana |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Makinde |D Oluwole |u Faculty of Military Science, Stellenbosch University, Private Bag X2, 7395, Saldanha, South Africa |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Seini |D Ibrahim |u Applied Mathematics Department, Faculty of Mathematical Sciences, University for Development, Navrongo, Ghana |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Biotheoretica |d Springer Netherlands |g 63/2(2015-06-01), 151-182 |x 0001-5342 |q 63:2<151 |1 2015 |2 63 |o 10441 | ||