Bueger, Matthias2020-08-182020-08-182002-09-27Bueger, M. (2002). Reaction-diffusion systems with 1-homogeneous non-linearity. <i>Electronic Journal of Differential Equations, 2002</i>(79), pp. 1-14.1072-6691https://hdl.handle.net/10877/12412We describe the dynamics of a system of two reaction-diffusion equations with 1-homogeneous non-linearity. We show that either an order-preserving property holds and can be used in order to determine the limiting behaviour in some (invariant) sets or the long time behaviour of all solutions can be described by looking at one scalar reaction-diffusion equation only.Text14 pages1 file (.pdf)enAttribution 4.0 InternationalReaction-diffusion equationsOrder-preservingReduction to one equationOscillation numberArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.