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.

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