ANALISIS KESTABILAN MODEL PENYEBARAN RABIES; STABILITY ANALYSIS THE SPREAD OF RABIES DISEASE MODEL

WIRANINGSIH, ETI DWI, Widodo

2016 | Tesis | FMIPA

This research presents the development and extension of some rabies infection models. The previous models, i.e., rabies models in wildlife animals, rabies models in dogs and rabies models in humans, are extended by considering the effect of vaccination, culling and sterilization in the models to get some new rabies infection models. The new models are then analyzed to determine the stability of their equilibrium points. The methods used to study the stability of the equilibrium point are the next generation matrix and linearization. In this thesis we study the stability analysis of rabies infection models between dogs and human with vaccination effect, stability analysis of rabies infection model among wild dogs, domestic dogs and human with the effect of vaccination and culling in dogs, stability analysis of rabies model in animals with the effect of vaccination and sterilization.

Kata Kunci : Stability analysis; Rabies model.