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. 2022 Sep 8;7(4):709–727. doi: 10.1016/j.idm.2022.08.006

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© 2022 The Authors

This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

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Fig. 3 — Schematics of the integrated vaccine-structured and age-structured model depicting the flow of individuals between compartmentalized classes (based on age, vaccination, and disease status). The total population (N) is divided into age group 1 (denoted by the subscript 1) and age group 2 (denoted by the subscript 2). Each age group is further split into the subgroups of unvaccinated (denoted by the subscripts u) and vaccinated (denoted by the subscript v), so that unvaccinated individuals in Group 1 (Group 2) carry the subscript, u1(u2), and vaccinated individuals in Group 1 (Group 2) carry the subscript, v1(v2). Furthermore, individuals in each of these subgroups are partitioned into susceptible (S_mk), latent (E_mk), presymptomatic infectious (I_pmk), symptomatic infectious (I_imk), asymptomatic infectious (I_amk), confirmed infectious (I_cmk), hospitalized (I_hmk), and recovered (R_mk), where m = u, v and k = 1, 2 classes. Group 1 individuals progress to Group 2 at per capita rate, ρ. Descriptions of the model variables and the other parameters (rates) are provided in Tables S5–S6 of the SI.