7 problems

Consider system … admits at least one EE when $R_0>1$. This conjecture is based on extensive numerical simulations; the provided text does not establish the claim analytically or i…

Consider a Jacobian factorization in which all rational factors of the characteristic polynomial are normalized to have positive leading term, negative linear eigenvalue factors ar…

Let the process be an essentially nonnegative polynomial process with a non-empty set of disease classes, so that it represents an epidemic. Assume that it has a unique disease-fre…

Let the proportion of people under isolation and the proportion of cities under isolation be measured for the D1+ dataset under strategies $(U)$ and $(P)$, with the initially infec…

Let $I$ and $I^V$ denote the unvaccinated and vaccinated infectious populations, respectively, and define their ratio by … Suppose $I$ and $I^V$ are small and the sufficient herd-i…

Let $R_0$ be the reproductive number, let $\vec{v}_{\rm optimal}$ denote an optimal vaccine allocation solving the optimization problem in, and let $\vec{v}^*$ denote the asymptoti…

Diffusion-driven plateau conjecture. The diffusion of Covid-19 disease from the capitals to the interior of Brazil, as reflected by the proposed model, is responsible for the plate…