Paper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - 16 August 2019, Strathmore University, Nairobi, KenyaIn this paper, a mathematical model for the transmission dynamics and control of
African swine fever with recruitment of susceptible, exposed and infective
domestic pigs into the population is studied using a system of ordinary differential
equations. The basic reproduction number Ro for the model was obtained and its
dependence on model parameters discussed. Without the inflow of exposed and
infective pigs into the population, the model exhibits the disease-free equilibrium
Eo and the endemic equilibrium El. The disease-free equilibrium Eo is globally
stable if the basic reproduction number Ro < 1 and the disease will be wiped out
of the population. If Ro > 1, the endemic equilibrium El is asyrnptotically globally
stable and the disease persists in the population. With the influx of exposed and
infective domestic pigs, the model has only a unique endemic equilibrium Ee that
is globally asymptotically stable and the disease persists. Numerical simulation is
carried out to verify the analytical results. It is revealed that with the influx of the
exposed and infected pigs, the disease is maintained at endemic equilibrium.Mbarara University of Science and Technology, Uganda
