Oke, Segun IsaacOjo, Michael M.Adeniyi, Michael O.Matadi, Maba M.2020-10-012020-10-012020-07Oke, S.I., Ojo, M.M., Adeniyi, M.O. et al. 2020, 'Mathematical modeling of malaria disease with control strategy', Communications in Mathematical Biology and Neuroscience, vol. 43, pp. 1-29.2052-254110.28919/cmbn/4513http://hdl.handle.net/2263/76289This article suggested and analyzed the transmission dynamics of malaria disease in a population using a nonlinear mathematical model. The deterministic compartmental model was examined using stability theory of differential equations. The reproduction number was obtained to be asymptotically stable conditions for the disease-free, and the endemic equilibria were determined. Moreso, the qualitatively evaluated model incorporates time-dependent variable controls which was aimed at reducing the proliferation of malaria disease. The optimal control problem was formulated using Pontryagin’s maximum principle, and three control strategies: disease prevention through bed nets, treatment and insecticides were incorporated. The optimality system was stimulated using an iterative technique of forward-backward Runge-Kutta fourth order scheme, so that the impacts of the control strategies on the infected individuals in the population can be determined. The possible influence of exploring a single control, the combination of two, and the three controls on the spread of the disease was also investigated. Numerical simulation was carried out and pertinent findings are displayed graphically.en© 2020 the author(s). This is an open access article distributed under the Creative Commons Attribution License.MalariaOptimal controlFemale anopheles mosquitoNonlinear mathematical modelStability theoryDifferential equationsArticle