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On nonstandard chemotactic dynamics with logistic growth induced by a modified complex Ginzburg–Landau equation
dc.contributor.author | López Fernández, José Luis | |
dc.contributor.author | López Fernández, José Luis | |
dc.date.accessioned | 2021-10-06T08:18:52Z | |
dc.date.available | 2021-10-06T08:18:52Z | |
dc.date.issued | 2021-08-22 | |
dc.identifier.citation | 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] | es_ES |
dc.identifier.uri | http://hdl.handle.net/10481/70674 | |
dc.description | 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. | es_ES |
dc.description.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. | es_ES |
dc.description.sponsorship | Junta de Andalucia European Commission PY18-RT-2422 and AFQM-311-UGR18 | es_ES |
dc.description.sponsorship | MINECO-Feder (Spain) | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Wiley Online Library | es_ES |
dc.rights | Atribución-NoComercial-SinDerivadas 3.0 España | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
dc.subject | Chemotaxis | es_ES |
dc.subject | Keller–Segel system | es_ES |
dc.subject | Modified complex Ginzburg– Landau equation | es_ES |
dc.subject | Modulational stability | es_ES |
dc.subject | Solitary wave | es_ES |
dc.subject | Solito | es_ES |
dc.title | On nonstandard chemotactic dynamics with logistic growth induced by a modified complex Ginzburg–Landau equation | es_ES |
dc.type | journal article | es_ES |
dc.rights.accessRights | open access | es_ES |
dc.identifier.doi | 10.1111/sapm.12440 | |
dc.type.hasVersion | VoR | es_ES |