TY - GEN

T1 - An optimal control strategies using vaccination and fogging in dengue fever transmission model

AU - Fitria, Irma

AU - Winarni, W.

AU - Pancahayani, Sigit

AU - Subchan, S.

N1 - Publisher Copyright:
© 2017 Author(s).

PY - 2017/8/1

Y1 - 2017/8/1

N2 - This paper discussed regarding a model and an optimal control problem of dengue fever transmission. We classified the model as human and vector (mosquito) population classes. For the human population, there are three subclasses, such as susceptible, infected, and resistant classes. Then, for the vector population, we divided it into wiggler, susceptible, and infected vector classes. Thus, the model consists of six dynamic equations. To minimize the number of dengue fever cases, we designed two optimal control variables in the model, the giving of fogging and vaccination. The objective function of this optimal control problem is to minimize the number of infected human population, the number of vector, and the cost of the controlling efforts. By giving the fogging optimally, the number of vector can be minimized. In this case, we considered the giving of vaccination as a control variable because it is one of the efforts that are being developed to reduce the spreading of dengue fever. We used Pontryagin Minimum Principle to solve the optimal control problem. Furthermore, the numerical simulation results are given to show the effect of the optimal control strategies in order to minimize the epidemic of dengue fever.

AB - This paper discussed regarding a model and an optimal control problem of dengue fever transmission. We classified the model as human and vector (mosquito) population classes. For the human population, there are three subclasses, such as susceptible, infected, and resistant classes. Then, for the vector population, we divided it into wiggler, susceptible, and infected vector classes. Thus, the model consists of six dynamic equations. To minimize the number of dengue fever cases, we designed two optimal control variables in the model, the giving of fogging and vaccination. The objective function of this optimal control problem is to minimize the number of infected human population, the number of vector, and the cost of the controlling efforts. By giving the fogging optimally, the number of vector can be minimized. In this case, we considered the giving of vaccination as a control variable because it is one of the efforts that are being developed to reduce the spreading of dengue fever. We used Pontryagin Minimum Principle to solve the optimal control problem. Furthermore, the numerical simulation results are given to show the effect of the optimal control strategies in order to minimize the epidemic of dengue fever.

UR - http://www.scopus.com/inward/record.url?scp=85028016645&partnerID=8YFLogxK

U2 - 10.1063/1.4994471

DO - 10.1063/1.4994471

M3 - Conference contribution

AN - SCOPUS:85028016645

T3 - AIP Conference Proceedings

BT - International Conference on Mathematics - Pure, Applied and Computation

A2 - Adzkiya, Dieky

PB - American Institute of Physics Inc.

T2 - 2nd International Conference on Mathematics - Pure, Applied and Computation: Empowering Engineering using Mathematics, ICoMPAC 2016

Y2 - 23 November 2016

ER -