Stationary solutions of chemotaxis systems
Renate Schaaf
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Source: Crossref
Published: Jan 1, 1985
DOI: 10.1090/s0002-9947-1985-0808736-1
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The Keller-Segel Model is a system of partial differential equations modelling a mutual attraction of amoebae caused by releasing a chemical substance (Chemotaxis). This paper analyzes the stationary solutions of the system with general nonlinearities via bifurcation techniques and gives a criterion for bifurcation of stable nonhomogeneous aggregation patterns. Examples are discussed with various kinds of nonlinearities modelling the sensitivity of the chemotaxis response.
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