Chernov AA, Kelbert MY, Shemendyuk AA. Optimal vaccine allocation during the mumps outbreak in two SIR centres.
Math Med Biol 2020;
37:303-312. [PMID:
31271214 DOI:
10.1093/imammb/dqz012]
[Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/20/2018] [Revised: 04/29/2019] [Accepted: 05/12/2019] [Indexed: 11/14/2022]
Abstract
The aim of this work is to investigate the optimal vaccine sharing between two susceptible, infected, removed (SIR) centres in the presence of migration fluxes of susceptibles and infected individuals during the mumps outbreak. Optimality of the vaccine allocation means the minimization of the total number of lost working days during the whole period of epidemic outbreak $[0,t_f]$, which can be described by the functional $Q=\int _0^{t_f}I(t)\,{\textrm{d}}t$, where $I(t)$ stands for the number of infectives at time $t$. We explain the behaviour of the optimal allocation, which depends on the model parameters and the amount of vaccine available $V$.
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