Optimal control with multiple human papillomavirus vaccines

Journal of Theoretical Biology
Tufail MalikRaja Jayaraman

Abstract

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 ...Continue Reading

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Citations

Jul 16, 2019·Bulletin of Mathematical Biology·Ariel CamachoSilvia Jerez
Mar 12, 2019·Journal of Theoretical Biology·Jesse A SharpMatthew J Simpson
Apr 16, 2020·Journal of Theoretical Biology·Jesse A SharpMatthew J Simpson

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