
Mathematical Biosciences and Engineering, 2017, 14(2): 377405. doi: 10.3934/mbe.2017024.
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Optimal control analysis of malariaschistosomiasis coinfection dynamics
1. Department of Mathematics, Vaal University of Technology, Andries Potgieter Boulevard, Vanderbijlpark, 1911, South Africa
2. Department of Mathematics, The University of Ottawa, 585 King Edward Ave, Ottawa ON K1N6N5, Canada
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This paper presents a mathematical model for malariaschistosomiasis coinfection in order to investigate their synergistic relationship in the presence of treatment. We first analyse the single infection steady states, then investigate the existence and stability of equilibria and then calculate the basic reproduction numbers. Both the singleinfection models and the coinfection model exhibit backward bifurcations. We carrying out a sensitivity analysis of the coinfection model and show that schistosomiasis infection may not be associated with an increased risk of malaria. Conversely, malaria infection may be associated with an increased risk of schistosomiasis. Furthermore, we found that effective treatment and prevention of schistosomiasis infection would also assist in the effective control and eradication of malaria. Finally, we apply Pontryagin's Maximum Principle to the model in order to determine optimal strategies for control of both diseases.
Keywords: Malaria; schistosomiasis; optimal control
Citation: Kazeem Oare Okosun, Robert Smith?. Optimal control analysis of malariaschistosomiasis coinfection dynamics. Mathematical Biosciences and Engineering, 2017, 14(2): 377405. doi: 10.3934/mbe.2017024
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Copyright Info: 2017, Kazeem Oare Okosun, et al., licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)
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