In this study, a novel reaction–diffusion model for the spread of the new coronavirus (COVID-
19) is investigated. The model is a spatial extension of the recent COVID-19 SEIR model …

In this paper, a mathematical model with a standard incidence rate is proposed to assess the
role of media such as facebook, television, radio and tweeter in the mitigation of the …

This work examines the impacts of self-isolation and hospitalization on the population
dynamics of the Corona-Virus Disease. We developed a new nonlinear deterministic model …

We examine the spatial modeling of the outbreak of COVID-19 in two regions: the
autonomous community of Andalusia in Spain and the mainland of Greece. We start with a …

Mathematical epidemiology has a long history of origin and development. In particular,
mathematical modeling and analysis of infectious diseases has become a fundamental and …

The dynamics of radial A+ B→ C reaction fronts can be affected by buoyancy-driven
convection. Motivated by recent advances in reaction-diffusion–advection (RDA) systems …

In this work, the dynamics of the spread of COVID-19 is considered in the presence of both
human-to-human transmission as well as environment-to-human transmission. Specifically …

A diffusion SEIAR model with Beddington-DeAngelis type incidence is proposed to
characterize the spread of COVID-19 with spatial transmission. First, the well-posedness of …

We present a simple model for the spread of an infection that incorporates spatial variability
in population density. Starting from first-principle considerations, we explore how a novel …

In actual pandemic situations like COVID-19, it is important to understand the influence of
single mitigation measures as well as combinations to create most dynamic impact for …