A SEIR-SEI Malaria Transmission Model with Optimal Control
A SEIR-SEI Malaria Transmission Model with Optimal Control
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Date
2018
Authors
Appiagyei, Ebenezer
Osman, Mojeeb AL-Rahman EL-Nor
Adu, Isaac Kwasi
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Publisher
Journal of Advances in Mathematics and Computer Science
Abstract
In this paper, we propose a SEIR-SEI epidemic model for malaria transmission which describes the
interaction between human and mosquito population, with the effects of antibodies produced by the
incidence rates for humans and mosquitoes respectively and two optimal controls. We introduce an
optimal problem with an objective function, where two control functions, use of treated bed-nets
and control effort on malaria treatment , have been used as control measures for infected individuals.
The existence of feasible region where the model is well-known is established. Stability analysis of
the disease -free equilibrium is investigated. The basic reproduction number R0, is obtained using
the next generation matrix approach. The existence of the endemic equilibrium is also specified
under certain conditions. Numerical simulations are carried out to confirm our analytic results and our simulation also suggests that, two control strategies are more effective than only one control in
controlling the increase of number of infected individuals in the Democratic Republic of the Congo
(DRC).
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Citation
Osman, M. A., Ebenezer, A., & Adu, I. K. (2018). A SEIR-SEI Malaria Transmission Model with Optimal Control. Journal of Advances in Mathematics and Computer Science, 28(6), 1-17.