SWITCHING VACCINATION SCHEMES FOR VECTOR-BORNE DISEASES WITH SEASONAL FLUCTUATIONS
| Autor: | Peter Stechlinski, Xinzhi Liu |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Ecology
Disease Eradication Applied Mathematics Model parameters General Medicine Biology biology.organism_classification medicine.disease_cause 01 natural sciences Agricultural and Biological Sciences (miscellaneous) Virology 010305 fluids & plasmas Zika virus 010101 applied mathematics Vaccination Pulse vaccination Control theory Hybrid system 0103 physical sciences medicine Chikungunya 0101 mathematics Epidemic model |
| Zdroj: | Journal of Biological Systems. 25:441-477 |
| ISSN: | 1793-6470 0218-3390 |
| DOI: | 10.1142/s0218339017500218 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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