Kurt Frischmuth, Vyacheslav G. Tsybulin
Computation of a family of non-cosymmetrical equilibria in a system of nonlinear parabolic equations
Preprints aus dem Fachbereich Mathematik, Universität Rostock
Abstract: We study a system of two nonlinear parabolic equations
- 35B20 Perturbations
- 65M06 Finite difference methods
with cosymmetry and find a continuous
family of equilibria with nonconstant spectrum.
Basing on the finite-difference approach, we develop a
numerical method for solving the partial differential
equations and calculating the continuous family of
An application of the proposed system to population
kinetics is demonstrated. Numerically computed families
The dependence on model parameters is discussed.
Keywords: Cosymmetry, parabolic systems, stationary states