On nonstandard chemotactic dynamics with logistic growth induced by a modified complex Ginzburg–Landau equation López Fernández, José Luis López Fernández, José Luis Chemotaxis Keller–Segel system Modified complex Ginzburg– Landau equation Modulational stability Solitary wave Solito The author is partially supported by MINECO-Feder (Spain), research grant number RTI2018- 098850-B-I00, as well as by Junta de Andalucía (Spain), Project PY18-RT-2422, and A-FQM-311- UGR18. In this paper, we derive a variant of the classical Keller-Segel model of chemotaxis incorporating a growth term of logistic type for the cell population n(t,x), say nu n(1-n) with nu>0, and a nonstandard chemical production-degradation mechanism involving first- and second-order derivatives of the logarithm of the cell density, say f lambda ab(n,nx,nxx)=lambda n+anxxn+bnx2n2 with lambda,a,b is an element of R, via the (n,S)-hydrodynamical system associated with a modified Ginzburg-Landau equation governing the evolution of the complex wavefunction psi=neiS. In a chemotactic context, S(t,x) will play the role of the concentration of chemical substance. Then, after carrying out a detailed analysis of the modulational stability of uniform-in-space plane waves, dark soliton-shaped traveling wave densities of the former system are constructed from solitary wave solutions of the latter. 2021-10-06T08:18:52Z 2021-10-06T08:18:52Z 2021-08-22 info:eu-repo/semantics/article López JL. On nonstandard chemotactic dynamics with logistic growth induced by a modified complex Ginzburg–Landau equation. Stud Appl Math. 2021;1–22. [https://doi.org/10.1111/sapm.12440] http://hdl.handle.net/10481/70674 10.1111/sapm.12440 eng http://creativecommons.org/licenses/by-nc-nd/3.0/es/ info:eu-repo/semantics/openAccess Atribución-NoComercial-SinDerivadas 3.0 España Wiley Online Library