In this paper, we investigate the well-posedness and dynamics of a class of hybrid models,
obtained by coupling a system of ordinary differential equations and an agent-based model …

A common basis to address the dynamics of directly transmitted infectious diseases, such as
COVID-19, are compartmental (or SIR) models. SIR models typically assume homogenous …

Here we propose and implement a generalized mathematical model to find the time
evolution of population in infectious diseases and apply the model to study the recent …

We propose a new compartmental mathematical model describing the transmission and the
spreading of COVID-19 epidemic with a special focus on the non-total immunity. The model …

The goal of this article is to analyze some compartmental models specially designed to
model the spread of a disease whose transmission has the same features as COVID-19. The …

The outbreak of COVID-19 in 2020 has led to a surge in the interest in the mathematical
modeling of infectious diseases. Disease transmission may be modeled as compartmental …

This work focuses on an extension to the May--Nowak model for virus dynamics, additionally
accounting for diffusion in all components and chemotactically directed motion of healthy …

In this paper, we propose a new within-host model which describes the interactions between
SARS-CoV-2, host pulmonary epithelial cells and cytotoxic T lymphocyte (CTL) cells …

We propose a compartmental mathematical model for the spread of the COVID-19 disease,
showing its usefulness with respect to the pandemic in Portugal, from the first recorded case …

The spread of epidemics has always threatened humanity. In the present circumstance of
the Coronavirus pandemic, a mathematical model is considered. It is formulated via a …