Switching Vaccination Schemes for Vector-Borne Diseases With Seasonal Fluctuations

Abstract

Theory is developed for an epidemic model of a seasonally-spreading vector-borne disease using a hybrid system framework. Applicable to diseases spread by mosquitoes (e.g., chikungunya and Zika virus via Aedes albopictus), seasonal variations in transmission are modeled using switching parameters to represent term-time forcing. The vector agent is assumed to exhibit a period of incubation upon infection, modeled using a distribution. Three hybrid control strategies are analyzed in detail: switching cohort immunization, pulse vaccination at pre-specified times, and state-dependent pulse vaccination. Methods from switched systems theory are used to derive threshold disease eradication conditions involving the model parameters; convergence of solutions to a disease-free set or periodic solution is shown. A comprehensive analysis is performed to compare and contrast the different control schemes.

Dynamic of Non-Autonomous Vector Infectious Disease Model with Cross Infection

“…In order to effectively control the spread of infectious diseases, we often introduce three control strategies in the model: cohort immunization, time-dependent pulse vaccination, and state-dependent vaccination. The first strategy details a continuous vaccination effort of susceptible individuals, while the second and third strategies involve vaccinating a significant fraction of the susceptible population in a short period of time [7].…”