Opuscula Math. 34, no. 2 (2014), 375-386
http://dx.doi.org/10.7494/OpMath.2014.34.2.375
Opuscula Mathematica
Stability of finite difference schemes for generalized von Foerster equations with renewal
Henryk Leszczyński
Piotr Zwierkowski
Abstract. We consider a von Foerster-type equation describing the dynamics of a population with the production of offsprings given by the renewal condition. We construct a finite difference scheme for this problem and give sufficient conditions for its stability with respect to \(l^1\) and \(l^\infty\) norms.
Keywords: structured model, renewal, finite differences, stability.
Mathematics Subject Classification: 65M06, 65M12, 92D25.
- Henryk Leszczyński
- University of Gdansk, Institute of Mathematics, Wit Stwosz Street 57, 80-952 Gdansk, Poland
- Piotr Zwierkowski
- University of Gdansk, Institute of Mathematics, Wit Stwosz Street 57, 80-952 Gdansk, Poland
- Received: 2013-09-14.
- Revised: 2013-11-02.
- Accepted: 2013-11-07.
