On nonstandard chemotactic dynamics with logistic growth induced by a modified complex Ginzburg–Landau equation 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 journal 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/ open access Atribución-NoComercial-SinDerivadas 3.0 España Wiley Online Library