On the nonlocal discretization of basic mathematical models of viral infection

Prelegent(ci)

Adam Korpusik

Afiliacja

Uniwersytet Warszawski/Uniwersytet Warmińsko-Mazurski

Termin

25 stycznia 2017 14:15

Pokój

p. 4050

Seminarium

Seminarium Zakładu Biomatematyki i Teorii Gier

---

I will present two nonstandard finite difference schemes designed for the numerical simulation of basic mathematical models of viral infection. The proposed methods preserve the non-negativity and equilibria (along with their stability conditions), as well as the presence (or absence) of oscillations. All of these qualitative features of the original continuous models are preserved independently of the chosen step-size of the simulation.

---