@misc{10481/109429, year = {2021}, month = {7}, url = {https://hdl.handle.net/10481/109429}, abstract = {In this paper we investigate various forms of the chemical production-degradation mechanism in a chemotactic system of Keller-Segel type under which the existence of solitary wave solutions is guaranteed. Specifically, the existence of sech-type or compactly supported solitary wave solutions as well as exponential traveling wave profiles for the cell concentration is shown under certain conditions on the physical parameters}, organization = {MINECO-Feder (Spain), research grant number RTI2018-098850-B-I00}, organization = {Junta de Andalucía Project PY18-RT-2422 & A-FQM-31-UGR18}, publisher = {Elsevier}, keywords = {Keller-Segel system}, keywords = {Chemotaxis}, keywords = {Solitary waves}, title = {Modeling chemotaxis with nonstandard production/degradation mechanisms from Doebner-Goldin theory: existence of solitary waves}, doi = {10.1016/j.physd.2021.132989}, author = {Alejo Planas, Miguel Ángel and López Fernández, José Luis}, }