Optimal control with multiple human papillomavirus vaccines
| Autor: | Raja Jayaraman, Tufail Malik, Mudassar Imran |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Statistics and Probability
Time Factors Population Biology General Biochemistry Genetics and Molecular Biology 03 medical and health sciences 0302 clinical medicine medicine Humans Papillomavirus Vaccines 030212 general & internal medicine Human papillomavirus education Female population education.field_of_study General Immunology and Microbiology Hpv types Applied Mathematics Papillomavirus Infections Vaccination Models Immunological Uncertainty HPV infection General Medicine medicine.disease Optimal control Virology 030220 oncology & carcinogenesis Modeling and Simulation Immunization program General Agricultural and Biological Sciences |
| Zdroj: | Journal of Theoretical Biology. 393:179-193 |
| ISSN: | 0022-5193 |
| Popis: | A two-sex, deterministic ordinary differential equations model for human papillomavirus (HPV) is constructed and analyzed for optimal control strategies in a vaccination program administering three types of vaccines in the female population: a bivalent vaccine that targets two HPV types and provides longer duration of protection and cross-protection against some non-target types, a quadrivalent vaccine which targets an additional two HPV types, and a nonavalent vaccine which targets nine HPV types (including those covered by the quadrivalent vaccine), but with lesser type-specific efficacy. Considering constant vaccination controls, the disease-free equilibrium and the effective reproduction number Rv for the autonomous model are computed in terms of the model parameters. Local-asymptotic stability of the disease-free equilibrium is established in terms of Rv. Uncertainty and Sensitivity analyses are carried out to study the influence of various important model parameters on the HPV infection prevalence. Assuming the HPV infection prevalence in the population under the constant control, optimal control theory is used to devise optimal vaccination strategies for the associated non-autonomous model when the vaccination rates are functions of time. The impact of these strategies on the number of infected individuals and the accumulated cost is assessed and compared with the constant control case. Switch times from one vaccine combination to a different combination including the nonavalent vaccine are assessed during an optimally designed HPV immunization program. |
| Databáze: | OpenAIRE |
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