On a mathematical model describing the aggregation of amoebae

DOI10.1007/BF02458330zbMath0419.92002OpenAlexW4238760609MaRDI QIDQ1132755

Rene P. Sperb

Publication date: 1979

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02458330

zbMATH Keywords

existencediffusion equationnonlinear parabolic systemaggregation of amoebaechemotactic behaviorcyclic Ampnonuniform steady state

Mathematics Subject Classification ID

Heat equation (35K05) Initial value problems for linear higher-order PDEs (35G10) General biology and biomathematics (92B05) Higher-order parabolic equations (35K25)

Related Items (4)

Standing pulse-like solutions of a spatially aggregating population model ⋮ Taxis equations for amoeboid cells ⋮ Stationary Solutions of Chemotaxis Systems ⋮ Localized bacterial infection in a distributed model for tissue inflammation

Cites Work

• Initiation of slime mold aggregation viewed as an instability
• Isoperimetric Inequalities and Their Applications
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