A SEIR-SEI Malaria Transmission Model with Optimal Control

Osman, Mojeeb AL-Rahman EL-Nor and Ebenezer, Appiagyei and Adu, Isaac Kwasi (2018) A SEIR-SEI Malaria Transmission Model with Optimal Control. Journal of Advances in Mathematics and Computer Science, 28 (6). pp. 1-17. ISSN 24569968

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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).

Item Type: Article
Subjects: STM Open Press > Mathematical Science
Depositing User: Unnamed user with email support@stmopenpress.com
Date Deposited: 10 May 2023 06:45
Last Modified: 12 Sep 2024 06:06
URI: http://journal.submissionpages.com/id/eprint/1070

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