A front-fixing finite-difference method is developed and tested for 1D logistic chemotaxis systems with free boundary, reproducing vanishing-spreading dichotomy and local persistence.
Winkler, Finite-time blow-up in the higher-dimensi onal parabolic-parabolic Keller-Segel system, J
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Numerical study of vanishing and spreading dynamics of chemotaxis systems with logistic source and a free boundary
A front-fixing finite-difference method is developed and tested for 1D logistic chemotaxis systems with free boundary, reproducing vanishing-spreading dichotomy and local persistence.