During the ongoing COVID-19 pandemic, vaccine shortages occur due to various types of
constraints, including interruptions in production/supply, higher-than-expected demands …

Multiple strains of the SARS-CoV-2 have arisen and jointly influence the trajectory of the
coronavirus disease (COVID-19) pandemic. However, current models rarely account for this …

In response to the ongoing pandemic of COVID-19, several companies across the world
have proposed a wide variety of vaccines of different mechanisms of action. As a …

It has been suggested, without rigorous mathematical analysis, that the classical vaccine-
induced herd immunity threshold (HIT) assuming a homogeneous population can be …

Many pathogens of humans and livestock also infect wildlife that can act as a reservoir and
challenge disease control or elimination. Efficient and effective prioritization of research and …

Mathematical models of childhood diseases date back to the early twentieth century. In
several cases, models that make the simplifying assumption of homogeneous time …

For reasons that the universality of stochastic perturbation and heterogeneity in the spread
of vector-borne epidemic diseases, we formulate a stochastic vector-borne epidemic model …

In some disease systems, the process of waning immunity can be subtle, involving a
complex relationship between the duration of immunity—acquired either through natural …

With the recent licensure of mRNA vaccines against COVID-19 in the 5-to 11-year-old age
group, the public health impact of a childhood immunization campaign is of interest. Using a …

In classical mumps models, individuals are generally assumed to be uniformly mixed
(homogeneous), ignoring population heterogeneity (preference, activity, etc.). Age is the key …