In this paper we present some extensions of the classical SIR model with non-symmetric
spatial dependence. SIR-type models usually describe the epidemic in a population, which …

In this paper we analyse the discrete maximum principle (DMP) for a stationary diffusion-
reaction problem solved by means of prismatic finite elements. We derive geometric …

It is a natural expectation that the mathematical models of real-life phenomena have to
possess some characteristic qualitative properties of the original process. For parabolic …

We propose iterative algorithms for solving finite difference schemes approximating an initial
value problem of a parabolic Monge-Ampère equation, arising from the optimal investment …

The sign-stability property is one of the important qualitative properties of the one-
dimensional heat conduction equation, or more generally, of one-dimensional parabolic …

Generally speaking, a partial differential equation (PDE) is such an equation that contains at
least one partial derivative of the unknown function, describing phenomena that depend on …

In this paper we investigate two special qualitative properties of the finite difference solutions
of one-dimensional nonlinear parabolic initial boundary value problems. The first property …