Open Access Open Access  Restricted Access Subscription or Fee Access

Cost-Effective Optimal Control Analysis To Co-Infection Model Of Dengue Fever And Typhoid Fever

N. Marpaung, T. Bakhtiar, Jaharuddin


This study deals with the application of mathematical modeling in analyzing the transmission dynamics of diseases. In particular we develop an algebraic model that describes the interaction between two common diseases, namely dengue and typhoid fevers. To realistically describe the interdependence among agents that influence the spread of both diseases, we consider an environment of three populations: vector, human, and bacteria, which in total consist of ten compartments. In order to be able to intervene the system, we equip the model with four control variables, namely mosquito eradication, the use of mosquito repellent, treatment of individuals carrying and infected with typhoid, and education on healthy living. The well-known Pontryagin maximum principle was carried out in deriving necessary conditions for optimal controls and the so-called forward-backward sweep method combining with the fourth order Runge-Kutta algorithm was utilized in the implementation of numerical solutions. A series of control scenarios were evaluated based on their benefits obtained and costs incurred. An ACER and ICER based cost effectiveness analysis was conducted to characterize the best control strategy. In a case study with 1000 human populations, it is suggested that a strategy with all control alternatives provides the most effective results.


Co-infection, cost effectiveness, dengue fever, numerical simulation, optimal control, typhoid fever.

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information.