Numerical study of vanishing and spreading dynamics of chemotaxis systems with logistic source and a free boundary
DOI10.3934/dcdsb.2020154zbMath1473.65126arXiv1907.06313OpenAlexW3023185789MaRDI QIDQ2028983
Publication date: 3 June 2021
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.06313
free boundary problemnonlinear parabolic equationsfinite differencespreading-vanishing dichotomyinvasive populationfront-fixingchemoattraction-repulsion system
Nonlinear parabolic equations (35K55) Nonlinear boundary value problems for linear elliptic equations (35J65) Stability in context of PDEs (35B35) Initial-boundary value problems for second-order parabolic equations (35K20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Ecology (92D40) Free boundary problems for PDEs (35R35) Finite difference methods for boundary value problems involving PDEs (65N06) Cell movement (chemotaxis, etc.) (92C17) Positive solutions to PDEs (35B09)
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