Stability Analysis Rabies Model in Animals with the Effect of Vaccination and Sterilization

摘要

A deterministic model for the transmission dynamics of the rabies virus in animals is formulated. The effect of rabies vaccine, surgical sterilization and rabies immuno-contraceptive vaccine is considered in the model, then the stability of the disease-free equlilibrium is analyzed to get the basic reproduction number using the next generation matrix method. Both local stability and global stability of the model are analyzed and written down as theorems.