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All Journal JMT (Jurnal Matematika dan Terapan)
A. P. Ramadhan
University of Padjadjaran
Decision Sciences, Operations Research & Management Economics, Econometrics & Finance

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Optimal Control Solution for Rabies Disease Transmission within Free-ranging Dog Eti Dwi Wiraningsih; Z. Jamaludin; A. P. Ramadhan; M. Misbach Jamaludin
JMT : Jurnal Matematika dan Terapan Vol 4 No 2 (2022): JMT (Jurnal Matematika dan Terapan)
Publisher : Program Studi Matematika Universitas Negeri Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/jmt.4.2.5

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.
Co-Authors Eti Dwi Wiraningsih M. Misbach Jamaludin Z. Jamaludin