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Herd Vaccination Threshold for Rabies Disease with Fuzzy Transmission Coefficient by Wiraningsih, E D; Amarti, Z; Supriatna, A K is a Physics and Astronomy article available to read on EtoBox.

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## Abstract This paper considers a deterministic model for the transmission dynamics of rabies virus in the wild dogs-human zoonotic cycle. The endemic equilibrium is found and its existence depends on the value of the basic reproduction number. The effect of vaccination in dogs is considered on the model. We then also present the effective reproduction number in the presence of the vaccination. Further we developed the formula to obtain the minimum level of the vaccination to eliminate the endemic equilibrium, which is called the herd vaccination threshold. We found the relation between this herd vaccination threshold and the basic reproduction number. The effect of some fuzzy parameters to the herd vaccination threshold is also investigated.

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Author

Wiraningsih, E D; Amarti, Z; Supriatna, A K

Publisher

Institute of Physics; IOP Publishing (ISSN 1742-6588)

Published

2019

Language

EN

Field

Physics and Astronomy (Physical Sciences)