2 problems

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Conjecture on the vaccine-associated reproduction number in household-workplace models
Household-workplace vaccination conjecture. The inequality
Conjectureopenepidemic-models households vaccinationarXiv posted 2 days ago
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Conjecture on the comparison of household reproduction numbers $R_0$ and $R_2$
Comparison conjecture. In a growing epidemic, $R_0\ge R_2$ , while in a declining epidemic, $R_0\le R_2$ . Both inequalities are strict if and only if $n_H>2$ ; equivalently, the ineq…
Conjectureopenepidemic-models households reproduction-numbersarXiv posted 2 days ago

Conjecture on the vaccine-associated reproduction number in household-workplace models