Some multi-dimensional nonlinear partial differential equations reduce to a linear equation
in fewer dimensions after imposing one additional constraint. A large class of useful …

We consider the development of hyperbolic transport models for the propagation in space of
an epidemic phenomenon described by a classical compartmental dynamics. The model is …

In this paper we introduce a space-dependent multiscale model to describe the spatial
spread of an infectious disease under uncertain data with particular interest in simulating the …

In this paper, we propose a novel space-dependent multiscale model for the spread of
infectious diseases in a two-dimensional spatial context on realistic geographical scenarios …

In this survey we report some recent results in the mathematical modelling of epidemic
phenomena through the use of kinetic equations. We initially consider models of interaction …

This paper provides an analysis on global dynamics of a diffusive cholera model. We
formulate the model by a reaction–diffusion system with space-dependent parameters and …

Cholera is a water-and food-borne infectious disease caused by V. cholerae. To investigate
multiple effects of human behavior change, seasonality and spatial heterogeneity on cholera …

When investigating epidemic dynamics through differential models, the parameters needed
to understand the phenomenon and to simulate forecast scenarios require a delicate …

In this paper, we deal with an SIRS reaction–diffusion epidemic model with saturation
infection mechanism. Based on the uniform boundedness of the parabolic system, we …

In this paper, to characterize the limited availability of medical resources, we incorporate a
saturated treatment rate into a network-based susceptible-infected-susceptible (SIS) …