Optimal intervention strategies for cholera outbreak by education and chlorination

Workshop and International Seminar on Science of Complex Natural Systems

Bakhtiar, Toni^1

Division of Operation Research, Department of Mathematics, Bogor Agricultural University, Kampus IPB Dramaga, Bogor

16680, Indonesia^1

关键词: Control strategies;    Equation systems;    Fourth order Runge-Kutta methods;    Infectious disease;    Optimal controls;    Optimal intervention;    Optimality conditions;    Pathogen populations;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/31/1/012022/pdf
DOI  :  10.1088/1755-1315/31/1/012022

来源: IOP

【 摘 要 】

This paper discusses the control of infectious diseases in the framework of optimal control approach. A case study on cholera control was studied by considering two control strategies, namely education and chlorination. We distinct the former control into one regarding person-to-person behaviour and another one concerning person-to-environment conduct. Model are divided into two interacted populations: human population which follows an SIR model and pathogen population. Pontryagin maximum principle was applied in deriving a set of differential equations which consists of dynamical and adjoin systems as optimality conditions. Then, the fourth order Runge-Kutta method was exploited to numerically solve the equation system. An illustrative example was provided to assess the effectiveness of the control strategies toward a set of control scenarios.