Optimal Control of Vaccination for Dengue Fever in SIR Model
نویسندگان
چکیده
According to data from The Indonesian ministry of health, many individuals suffere dengue fever until may 2023 in Indonesia. To reduce its cases, this article, a single control strategy vaccination for infected human by has been proposed. obtain the optimal control, SIR model modificated with and new objective function made before Pontryagin minimum principle is used article. differential equation function, we Hamiltonian equation. Then, it, state equation, costate stationary condition so obtained vaccination. In end did numerical simulation using sweep forward-backward method. Through simulation, find that succeed also increase recovery desease. Futhermore, should be implemented not only mathematical but into real life decrease case.
منابع مشابه
Stability Analysis and Optimal Control of Vaccination and Treatment of a SIR Epidemiological Deterministic Model with Relapse
In this paper, we studied and formulated the relapsed SIR model of a constant size population with standard incidence rate. Also, the optimal control problem with treatment and vaccination as controls, subject to the model is formulated. The analysis carried out on the model, clearly showed that the infection free steady state is globally asymptotically stable if the bas...
متن کاملOptimal control of a dengue epidemic model with vaccination
We present a SIR+ASI epidemic model to describe the interaction between human and dengue fever mosquito populations. A control strategy in the form of vaccination, to decrease the number of infected individuals, is used. An optimal control approach is applied in order to find the best way to fight the disease.
متن کاملNumerical Solution of SIR Model of Dengue Fever
Dengue is a complex disease because of the link it forms between humans, mosquitoes, and several virus serotypes, including efficient strategies for vector survival strategies. For this reason, the understanding of various factors that influence the recurrence of Dengue has been an inescapable fight for policy makers and scientists alike. In this paper, the susceptible-infected-recovered (SIR) ...
متن کاملOptimal control of vaccination and treatment for an SIR epidemiological model∗
We consider an SIR model with variable size population and formulate an optimal control problem subject to the model with vaccination and treatment as controls. Our aim is to find the optimal combination of vaccination and treatment strategies that will minimize the cost of the two control measures as well as the number of infectives. Our model analyses show that the disease free equilibrium is...
متن کاملOptimal vaccination and treatment in the SIR epidemic model
ABSTRACT Mathematical epidemiological models for the dynamics of infections that induce lifelong immunity have been extensively developed. In this work, we consider a nonlinear SIR model given by a nonlinear system describing the dynamics of the interaction between susceptible and infective individuals in population. We analyze the dynamical behavior of the nonlinear system and then use two typ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Kubik: Jurnal Publikasi Ilmiah Matematika
سال: 2023
ISSN: ['2686-0341', '2338-0896']
DOI: https://doi.org/10.15575/kubik.v7i2.21397