1612 N. Bellomo et al. the modeling of traffic and crowds: A survey of models, speculations,
and perspectives, SIAM Rev. 53 (2011) 409–463], thus providing important research …

The review is devoted to an analysis of mathematical models used for describing epidemic
processes. Our main focus is on the models that are based on partial differential equations …

In this article, we analyze the spread of information on social media (Twitter) and purpose a
strategy based on epidemiological models. It is well known that social media represent a …

A space distributed model based on reaction–diffusion equations, which was previously
developed, is generalized and applied to COVID-19 pandemic modeling in Ukraine …

This work aims at deriving and analysing a reaction-diffusion model for the transmission
dynamics of the Coronavirus (COVID-19) which takes into account the reinfection and the …

We examine an SIRS reaction-diffusion model with local dispersal and spatial heterogeneity
to study COVID-19 dynamics. Using the operator semigroup approach, we establish the …

Partial differential equation models for infectious disease have received renewed interest in
recent years. Most models of this type extend classical compartmental formulations with …

We propose an approach to model spatial heterogeneity in SIR-type models for the spread
of epidemics via\emph {nonlocal aggregation terms}. More precisely, we first consider an …

Mathematical and computational tools have proven to be reliable in decision‐making
processes. In recent times, in particular, machine learning‐based methods are becoming …

In the context of mathematical modeling, it is sometimes convenient to integrate models of
different nature. These types of combinations, however, might entail difficulties even when …