@misc{10481/70674,
year = {2021},
month = {8},
url = {http://hdl.handle.net/10481/70674},
abstract = {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.},
organization = {Junta de Andalucia European Commission  PY18-RT-2422 and AFQM-311-UGR18},
organization = {MINECO-Feder (Spain)},
publisher = {Wiley Online Library},
keywords = {Chemotaxis},
keywords = {Keller–Segel system},
keywords = {Modified complex Ginzburg– Landau equation},
keywords = {Modulational stability},
keywords = {Solitary wave},
keywords = {Solito},
title = {On nonstandard chemotactic dynamics with logistic growth induced by a modified complex Ginzburg–Landau equation},
doi = {10.1111/sapm.12440},
author = {López Fernández, José Luis and López Fernández, José Luis},
}