Nonmonotone Clines in Homogeneous Space Cannot Be Stable

DOI10.1137/0520011zbMath0664.92011OpenAlexW2071664506MaRDI QIDQ3815913

Ebbe Thue Poulsen

Publication date: 1989

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0520011

zbMATH Keywords

instabilitydiscrete-time dynamical systemshomogeneous spacereaction-diffusion equationequilibriaPerron-Frobenius theoremclinestranslation groupnonconstant stationary solutionsgenetic composition of populationsnonlinear integral operator modelsspace-time variation

Mathematics Subject Classification ID

Stability theory for integral equations (45M10) Genetics and epigenetics (92D10)

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