Conejero, José AntonioMurillo-Arcilla, MarinaSeoane Sepúlveda, Juan Benigno2023-06-182023-06-1820160037-191210.1007/s00233-015-9704-6https://hdl.handle.net/20.500.14352/24485In recent years, the topic of car-following has experimented an increased importance in traffic engineering and safety research. This has become a very interesting topic because of the development of driverless cars (Google driverless cars, http://en.wikipedia.org/wiki/Google_driverless_car). Driving models which describe the interaction between adjacent vehicles in the same lane have a big interest in simulation modeling, such as the Quick-Thinking-Driver model. A non-linear version of it can be given using the logistic map, and then chaos appears. We show that an infinite-dimensional version of the linear model presents a chaotic behaviour using the same approach as for studying chaos of death models of cell growth.engjournal articlehttp://link.springer.com/article/10.1007%2Fs00233-015-9704-6http://link.springer.com/restricted access517Birth-and-death problemC0-semigroupsCar-followingDeath modelDevaney chaosDistributional chaosQuick-Thinking-DriverAnálisis matemático1202 Análisis y Análisis Funcional