<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The aim of this paper is to analyse the potential impact of multiple current interventions in communities with limited resources in order to obtain optimal control strategies and provide a basis for future predictions of the most effective control measures against the spread of malaria. We developed a population-based model of malaria transmission dynamics to investigate the effectiveness of five different interventions. The model captured both the human and the mosquito compartments. The control interventions considered were: educational campaigns to mobilise people for diagnostic test and treatment and to sleep under bed nets; treatment through mass drug administration; indoor residual spraying(IRS) with insecticide to reduce malaria transmission; insecticide treated net (ITN) to reduce morbidity; and regular destruction of mosquito breeding sites to reduce the number of new mosquito and bites/contact at dusks and dawn. Analysis of the potential impact of the multiple control interventions were carried out and the optimal control strategies that minimized the number of infected human and mosquito and the cost of applying the various control interventions were determined.</p>
</abstract>

The aim of this paper is to analyse the potential impact of multiple current interventions in communities with limited resources in order to obtain optimal control strategies and provide a basis for future predictions of the most effective control measures against the spread of malaria. We developed a population-based model of malaria transmission dynamics to investigate the effectiveness of five different interventions. The model captured both the human and the mosquito compartments. The control interventions considered were: educational campaigns to mobilise people for diagnostic test and treatment and to sleep under bed nets; treatment through mass drug administration; indoor residual spraying(IRS) with insecticide to reduce malaria transmission; insecticide treated net (ITN) to reduce morbidity; and regular destruction of mosquito breeding sites to reduce the number of new mosquito and bites/contact at dusks and dawn. Analysis of the potential impact of the multiple control interventions were carried out and the optimal control strategies that minimized the number of infected human and mosquito and the cost of applying the various control interventions were determined.

Analysis of Control Interventions against Malaria in communities with Limited Resources

Laboratory of Modelling in infectious Diseases and Applied Sciences (LOMI- DAS)

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

The aim of this paper is to analyse the potential impact of multiple current interventions in communities with limited resources in order to obtain optimal...

Analysis of Control Interventions against Malaria in communities with Limited Resources

Publié en ligne: 08 juil. 2021

Pages: 71 - 91

Reçu: 02 juil. 2020

Accepté: 31 août 2020

DOI: https://doi.org/10.2478/auom-2021-0019

Mots clés
Optimal control, Computational simulations, Disease Free Equilibrium, Pontryagin’s Maximum Principle, stability theory

© 2021 E.A. Bakare et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Analysis of Control Interventions against Malaria in communities with Limited Resources

Publié en ligne: 08 juil. 2021

Pages: 71 - 91

Reçu: 02 juil. 2020

Accepté: 31 août 2020

DOI: https://doi.org/10.2478/auom-2021-0019

Mots clésOptimal control, Computational simulations, Disease Free Equilibrium, Pontryagin’s Maximum Principle, stability theory

© 2021 E.A. Bakare et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
Optimal control, Computational simulations, Disease Free Equilibrium, Pontryagin’s Maximum Principle, stability theory