Dynamical Modelling for Epidemics of Vector Transmitted Diseases With Non-Monotone Incidence

Abstract

This paper presents a mathematical formulation for vector-host disease dynamics in which the transmission process is governed by incidence functions with non-monotone characteristics. The study investigates how changes in the behavior of susceptible hosts influence infection levels, alongside examining the role of vector deterrents in modifying vector infection dynamics. The long-term behavior of the system is analyzed by establishing the global asymptotic stability of equilibrium states using suitably constructed Lyapunov functionals. To support the analytical conclusions, numerical simulations are carried out. The proposed framework provides a clearer understanding of the mechanisms driving the spread of vector-borne infections.