Marsudi, Wuryansari Muharini Kusumawinahyu, Darmajid, Ahmad Fitri
In this paper, we investigate models of how the rabies virus spreads within subpopulations of dogs and humans. A deterministic model involving disease control strategies such as vaccination, treatment, and culling of infected dogs is applied, and their impact is studied. Both subpopulations of susceptible individuals are vaccinated to control the spread of the disease. This study assumes that infected dogs can transmit rabies to humans and other dogs. The effective reproduction number was calculated using the next-generation matrix method, and a sensitivity analysis was performed on each parameter. A disease-free equilibrium point was found, indicating that it is locally and globally asymptotically stable. The Lyapunov function approach is also utilized to determine the endemic equilibrium point's global asymptotic stability. With increasing intervention (treatment, vaccination, and culling), cases of rabies in humans will decrease. Sensitivity analysis and numerical simulation results, using a reasonable set of parameter values, Finally, the parameters of the rate of vaccination of dogs and the transmission rate in dogs have a significant impact on the spread of rabies. © 2025 Author(s).
Mathematics Department, Brawijaya University, Malang, 65145, Indonesia
