A nonstandard finite difference scheme for a basic model of cellular immune response to viral infection

Speaker(s)

Adam Korpusik

Affiliation

UWM Olsztyn

Date

March 23, 2016, 2:15 p.m.

Room

room 4050

Seminar

Seminar of Biomathematics and Game Theory Group

---

I will present a numerical method designed for the simulation of the basic mathematical model of cellular immune response to viral infection (originally proposed by M.A. Nowak and C.R. Bangham). The proposed numerical method is a nonstandard (semi-implicit) finite difference scheme, which preserves the essential qualitative features of the continuous model independently of the chosen step-size of the simulation. Namely, the non-negativity, boundedness and equilibria of the original model (along with their stability conditions) are preserved. Our numerical scheme does not generate qualitative errors that can easily be obtained using a standard simulation approach.

---