E.D. Wiraningsih, Z. Amarti, A.K. Supriatna
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. © 2019 Published under licence by IOP Publishing Ltd.
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Jakarta State University, Indonesia; Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Indonesia
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