Cost-effectiveness analysis on measles transmission with vaccination and treatment intervention

Shinta A. Rahmayani; Dipo Aldila; Bevina D. Handari; Shinta A. Rahmayani; Dipo Aldila; Bevina D. Handari

doi:10.3934/math.2021721

AIMS Mathematics

2021, Volume 6, Issue 11: 12491-12527. doi: 10.3934/math.2021721

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Research article Special Issues

Cost-effectiveness analysis on measles transmission with vaccination and treatment intervention

Department of Mathematics, Universitas Indonesia, Kampus UI Depok, Depok 16424, Indonesia

Received: 26 March 2021 Accepted: 25 August 2021 Published: 31 August 2021
MSC : 92-10, 49N90, 37N25

A deterministic model which describes measles' dynamic using newborns and adults first and second dose of vaccination and medical treatment is constructed in this paper. Mathematical analysis about existence of equilibrium points, basic reproduction number, and bifurcation analysis conducted to understand qualitative behaviour of the model. For numerical purposes, we estimated the parameters' values of the model using monthly measles data from Jakarta, Indonesia. Optimal control theory was applied to investigate the optimal strategy in handling measles spread. The results show that all controls succeeded in reducing the number of infected individuals. The cost-effective analysis was conducted to determine the best strategy to reduce number of infected individuals with the lowest cost of intervention. Our result indicates that the use of the first dose measles vaccine with medical treatment is the most optimal strategy to control measles transmission.
- measles,
- basic reproduction number,
- forward bifurcation,
- optimal control,
- cost-effective analysis
Citation: Shinta A. Rahmayani, Dipo Aldila, Bevina D. Handari. Cost-effectiveness analysis on measles transmission with vaccination and treatment intervention[J]. AIMS Mathematics, 2021, 6(11): 12491-12527. doi: 10.3934/math.2021721

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Abstract

A deterministic model which describes measles' dynamic using newborns and adults first and second dose of vaccination and medical treatment is constructed in this paper. Mathematical analysis about existence of equilibrium points, basic reproduction number, and bifurcation analysis conducted to understand qualitative behaviour of the model. For numerical purposes, we estimated the parameters' values of the model using monthly measles data from Jakarta, Indonesia. Optimal control theory was applied to investigate the optimal strategy in handling measles spread. The results show that all controls succeeded in reducing the number of infected individuals. The cost-effective analysis was conducted to determine the best strategy to reduce number of infected individuals with the lowest cost of intervention. Our result indicates that the use of the first dose measles vaccine with medical treatment is the most optimal strategy to control measles transmission.

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