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The evolution of traveling waves in a KPP reaction‐diffusion model with cut‐off reaction rate. I. Permanent form traveling waves
Author(s) -
Tisbury Alex D. O.,
Needham David J.,
Tzella Alexandra
Publication year - 2021
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/sapm.12337
Subject(s) - traveling wave , limit (mathematics) , reaction–diffusion system , monotone polygon , asymptotic analysis , mathematics , mathematical analysis , diffusion , cut off , physics , geometry , thermodynamics , power (physics)
We consider Kolmogorov‐Petrovskii‐Piscounov (KPP) type models in the presence of a discontinuous cut‐off in reaction rate at concentration u = u c . In Part I, we examine permanent form traveling wave solutions (a companion paper, Part II, is devoted to their evolution in the large time limit). For each fixed cut‐off value 0