Stability Analysis of the Rift Valley Fever Dynamical Model

Abstract

Stability analysis of a deterministic SEIR model of Rift Valley Fever with climate change parameters has been considered. The computational results show that the disease-free equilibrium point (DFE) is locally asymptotically stable, and using the Metzler stability theory, we find that the DFE is globally asymptotically stable when R0< 1. Using the Lyaponuv stability theory and LaSalle’s Invariant Principle we find that the endemic equilibrium point (EE) is globally asymptotically stable when R0> 1. These results are in conjecture with the results obtained from numerical simulations.