JMT (Jurnal Matematika dan Terapan)
Vol 4 No 2 (2022): JMT (Jurnal Matematika dan Terapan)

Optimal Control Solution for Rabies Disease Transmission within Free-ranging Dog

Eti Dwi Wiraningsih (State University of Jakarta)
Z. Jamaludin (University of Padjadjaran)
A. P. Ramadhan (University of Padjadjaran)
M. Misbach Jamaludin (University of Padjadjaran)

Article Info

Publish Date
30 Aug 2022

Abstract

This paper considers deterministic model for transmission dynamics of rabies virus in the free-ranging dog population. The stability of system near by Disease Free Equilibrium point is analized using Next Generation Matrix. The effect of vaccination in susceptible dog population is considered on the model. We then present the effective reproduction number in the present of the vaccination. Further we developed the formula to obtain the optimal vaccination to eliminate the endemic equilibrium, via the Pontryagin Maximum Principle. Numerical example are presented to show the properties of the optimal control solution.

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Journal Info
JMT (Jurnal Matematika dan Terapan)
Website

Abbrev

jmt

Publisher

Universitas Negeri Jakarta

Subject

Decision Sciences, Operations Research & Management Economics, Econometrics & Finance

Description

JMT (Jurnal Matematika dan Terapan) is a journal that publishes about scientific papers containing fields of mathematics such as analysis, geometry, algebra and its application. This mathematics journal contains about the result of student thesis, research lecturer both in mathematics prodi unj and ...