Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Vol 14 No 1 (2022): Jurnal Ilmiah Matematika dan Pendidikan Matematika

MODEL MATEMATIKA PENYEBARAN VIRUS NIPAH (NiV) DENGAN KONTROL OPTIMAL MENGGUNAKAN METODE PONTRYAGIN MAXIMUM PRINCIPLE (PMP)

Nur Ilmayasinta (Universitas Islam Lamongan)
Annisa Rahmita Soemarsono (Prodi Matematika Institut Teknologi Kalimantan)
Erra Noer Rohmania Aishwaray (Prodi Pendidikan Matematika FKIP Universitas Islam Lamongan)



Article Info

Publish Date
12 Jul 2022

Abstract

The use of optimal intervention strategies to prevent the spread of Nipah virus (NiV) by applying optimal control approaches is discussed in this article. To begin, we developed a dynamic model of NiV infection as well as three control strategies: public awareness, treatment, and quarantine. The study's goal was to lower the number of affected patients while lowering the three control costs. The Pontryagin maximum concept will be used to characterize optimal control, followed by numerical simulations using the Runge Kutta method of order 4. The simulation findings suggest that the optimal control technique is effective in reducing the appropriate cost of infected individuals while also providing three ideal controls. Early control measures can also effectively prevent the spread of the Nipah virus, according to numerical simulations

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Journal Info

Abbrev

jmp

Publisher

Subject

Mathematics

Description

JMP is a an open access journal which publishes research articles, reviews, case studies, guest edited thematic issues and short communications/letters in all areas of mathematics, applied mathematics, applied commutative algebra and algebraic geometry, mathematical biology, physics and engineering, ...