On kinetic and macroscopic models for the stripe formation in engineered bacterial populations
DOI10.1016/J.JDE.2022.03.035zbMath1492.35366arXiv2108.11196OpenAlexW3195811786MaRDI QIDQ2124508
Publication date: 11 April 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.11196
conservation lawspositivity\(z\)-flux termdensity-dependent mobilityK-EECP and AD-EECP modelnonlinearity of diffusion structure
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09)
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Cites Work
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