Research background: On 11 March 2020, the Covid-19 epidemic was identified by the
World Health Organization (WHO) as a global pandemic. The rapid increase in the scale of …

Dissipative partial differential equations that exhibit chaotic dynamics tend to evolve to
attractors that exist on finite-dimensional manifolds. We present a data-driven reduced-order …

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

Infectious diseases have long been acknowledged as significant public health menaces by
both the general public and health authorities, emphatically underscoring the crucial …

In the face of persistent threats posed by infectious diseases, despite remarkable medical
advancements, understanding and efficiently controlling their spatial spread through …

When using SIR and related models, it is common to assume that the infection rate is
proportional to the product of susceptible and infected individuals. While this assumption …

The spatial movement of the human population from one region to another and the
existence of super-spreaders are the main factors that enhanced the disease incidence …

In this paper, we consider reaction-diffusion epidemic models with mass action or standard
incidence mechanism and study the impact of limiting population movement on disease …

In this work we study a fractional SEIR biological model of a reaction-diffusion, using the non-
singular kernel Caputo-Fabrizio fractional derivative in the Caputo sense and employing the …

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 …