Mathematical modeling of malaria disease with control strategy
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Date
Authors
Oke, Segun Isaac
Ojo, Michael M.
Adeniyi, Michael O.
Matadi, Maba M.
Journal Title
Journal ISSN
Volume Title
Publisher
SCIK Publishing Corporation
Abstract
This 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.
Description
Keywords
Malaria, Optimal control, Female anopheles mosquito, Nonlinear mathematical model, Stability theory, Differential equations
Sustainable Development Goals
Citation
Oke, 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.