Nonlinear Models for Subdiffusive Transport in Chemotaxis
Akram Al-Sabbagh
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Nonlinear Models for Subdiffusive Transport in Chemotaxis

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We are studying subdiffusive transport in inhomogeneous media governed by the fractional Fokker-Planck equation with space dependent anomalous exponent. We are also interested in the study of chemotaxis within a subdiffusive environment, where the diffusion is influenced by a gradient of concentration of an external chemical signal. As well as the diffusion being influence by an external signal, we also study nonlinear reactions which cause the diffusion to be influenced by its own concentration gradient. Chemotaxis is caused by the sensitivity of diffusing particles/cells/beings to an externa...