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• W3149439897 endingPage "426" @default.
• W3149439897 startingPage "386" @default.
• W3149439897 abstract "With the vaccination against Covid-19 now available, how vaccination campaigns influence the mathematical modeling of epidemics is quantitatively explored. In this paper, the standard susceptible-infectious-recovered/removed (SIR) epidemic model is extended to a fourth compartment, V, of vaccinated persons. This extension involves the time t-dependent effective vaccination rate, v(t), that regulates the relationship between susceptible and vaccinated persons. The rate v(t) competes with the usual infection, a(t), and recovery, μ(t), rates in determining the time evolution of epidemics. The occurrence of a pandemic outburst with rising rates of new infections requires k+b<1−2η, where k=μ(0)/a(0) and b=v(0)/a(0) denote the initial values for the ratios of the three rates, respectively, and η≪1 is the initial fraction of infected persons. Exact analytical inverse solutions t(Q) for all relevant quantities Q=[S,I,R,V] of the resulting SIRV model in terms of Lambert functions are derived for the semi-time case with time-independent ratios k and b between the recovery and vaccination rates to the infection rate, respectively. These inverse solutions can be approximated with high accuracy, yielding the explicit time-dependences Q(t) by inverting the Lambert functions. The values of the three parameters k, b and η completely determine the reduced time evolution of the SIRV-quantities Q(τ). The influence of vaccinations on the total cumulative number and the maximum rate of new infections in different countries is calculated by comparing with monitored real time Covid-19 data. The reduction in the final cumulative fraction of infected persons and in the maximum daily rate of new infections is quantitatively determined by using the actual pandemic parameters in different countries. Moreover, a new criterion is developed that decides on the occurrence of future Covid-19 waves in these countries. Apart from in Israel, this can happen in all countries considered." @default.
• W3149439897 created "2021-04-13" @default.
• W3149439897 creator A5035724494 @default.
• W3149439897 creator A5042161653 @default.
• W3149439897 date "2021-05-25" @default.
• W3149439897 modified "2023-10-05" @default.
• W3149439897 title "Analytical Modeling of the Temporal Evolution of Epidemics Outbreaks Accounting for Vaccinations" @default.
• W3149439897 cites W1506002486 @default.
• W3149439897 cites W1521316713 @default.
• W3149439897 cites W1659719368 @default.
• W3149439897 cites W1964095724 @default.
• W3149439897 cites W1979160659 @default.
• W3149439897 cites W1980629230 @default.
• W3149439897 cites W1985397857 @default.
• W3149439897 cites W1989635505 @default.
• W3149439897 cites W1998564383 @default.
• W3149439897 cites W2002087380 @default.
• W3149439897 cites W2003861625 @default.
• W3149439897 cites W2004956410 @default.
• W3149439897 cites W2007347574 @default.
• W3149439897 cites W2022715852 @default.
• W3149439897 cites W2025277471 @default.
• W3149439897 cites W2030167963 @default.
• W3149439897 cites W2030489368 @default.
• W3149439897 cites W2037834696 @default.
• W3149439897 cites W2039909741 @default.
• W3149439897 cites W2041873271 @default.
• W3149439897 cites W2043134929 @default.
• W3149439897 cites W2044977167 @default.
• W3149439897 cites W2046415226 @default.
• W3149439897 cites W2053523645 @default.
• W3149439897 cites W2053786065 @default.
• W3149439897 cites W2054194433 @default.
• W3149439897 cites W2059119472 @default.
• W3149439897 cites W2061803905 @default.
• W3149439897 cites W2066612477 @default.
• W3149439897 cites W2068137975 @default.
• W3149439897 cites W2072710002 @default.
• W3149439897 cites W2076263811 @default.
• W3149439897 cites W2084931055 @default.
• W3149439897 cites W2085491719 @default.
• W3149439897 cites W2088205194 @default.
• W3149439897 cites W2089115178 @default.
• W3149439897 cites W2094534930 @default.
• W3149439897 cites W2094782138 @default.
• W3149439897 cites W2102822092 @default.
• W3149439897 cites W2106971385 @default.
• W3149439897 cites W2108621228 @default.
• W3149439897 cites W2113867961 @default.
• W3149439897 cites W2114395097 @default.
• W3149439897 cites W2120761563 @default.
• W3149439897 cites W2132985454 @default.
• W3149439897 cites W2139759244 @default.
• W3149439897 cites W2142452012 @default.
• W3149439897 cites W2159966344 @default.
• W3149439897 cites W2187055130 @default.
• W3149439897 cites W2334080013 @default.
• W3149439897 cites W2335725270 @default.
• W3149439897 cites W2342230497 @default.
• W3149439897 cites W2353861296 @default.
• W3149439897 cites W2398023307 @default.
• W3149439897 cites W2405833124 @default.
• W3149439897 cites W2520906014 @default.
• W3149439897 cites W2541901288 @default.
• W3149439897 cites W2560432432 @default.
• W3149439897 cites W2572725329 @default.
• W3149439897 cites W2600514908 @default.
• W3149439897 cites W2610570754 @default.
• W3149439897 cites W2725765108 @default.
• W3149439897 cites W2751434709 @default.
• W3149439897 cites W2752941417 @default.
• W3149439897 cites W2768614352 @default.
• W3149439897 cites W2789609542 @default.
• W3149439897 cites W2793830071 @default.
• W3149439897 cites W2801965182 @default.
• W3149439897 cites W2819453093 @default.
• W3149439897 cites W2895824254 @default.
• W3149439897 cites W2902759273 @default.
• W3149439897 cites W2904406084 @default.
• W3149439897 cites W2905028357 @default.
• W3149439897 cites W2938001506 @default.
• W3149439897 cites W2944345231 @default.
• W3149439897 cites W2946870933 @default.
• W3149439897 cites W2946927446 @default.
• W3149439897 cites W2948551315 @default.
• W3149439897 cites W2952681638 @default.
• W3149439897 cites W2961922215 @default.
• W3149439897 cites W2969925381 @default.
• W3149439897 cites W2973342418 @default.
• W3149439897 cites W2982715676 @default.
• W3149439897 cites W2994798171 @default.
• W3149439897 cites W2996442976 @default.
• W3149439897 cites W2997308447 @default.
• W3149439897 cites W3004150910 @default.
• W3149439897 cites W3016901189 @default.
• W3149439897 cites W3017759001 @default.
• W3149439897 cites W3019775607 @default.
• W3149439897 cites W3022013395 @default.

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