Impact of vaccination and sterilization on the transmission dynamics of rabies

We construct a mathematical model by dividing the dog and human populations into eight compartments as the rabies virus is likely to spread in both populations. In the model, disease-controlling strategies such as vaccination, sterilization and culling are taken into consideration, and their impact is studied. The current study assumes that dogs can transmit rabies among dogs as well as to human population. We apply the next-generation matrix technique to compute the basic reproduction number. Also, each parameters involved are subjected to sensitivity analysis using the approach of normalized sensitivity index. The rabies-free and endemic-equilibrium points are discovered analytically, demonstrating that it is asymptotically steady locally. The numerical simulations, which use approximations for parameter values, shows that effective method for controlling rabies transmission is a combination of vaccination, sterilization and culling of infected dogs. The findings indicate that the annual dog birth rate is also a critical factor in affecting the rabies virus spread. For. more information see https://ejde.math.txstate.edu/conf-proc/27/v1/abstr.html