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- W2908987157 abstract "Local hyperbolic systems have been first introduced to describe the movement of a population formed of left-moving and right-moving individuals, in response to the local density of their neighbours. These types of models (also called discrete-speed kinetic models, since they incorporate individual-level information regarding the movement direction of cell/bacteria/individuals into macroscopic models for population dynamics) are applied to describe biological phenomena characterised by sharp turning behaviours (as observed, for example, in bacteria or cells). In this Chapter we discuss these hyperbolic systems in a step-by-step manner: we start with conservative systems with density-dependent turning rates, then we discuss systems with density-dependent speeds, and we conclude by discussing systems that include population dynamics (described by death and birth terms). We also present in more detail an analytical investigation of the stability of spatially-homogeneous steady states and spatially-heterogeneous travelling waves." @default.
- W2908987157 created "2019-01-25" @default.
- W2908987157 creator A5006689072 @default.
- W2908987157 date "2018-01-01" @default.
- W2908987157 modified "2023-09-27" @default.
- W2908987157 title "Local Hyperbolic/Kinetic Systems in 1D" @default.
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- W2908987157 doi "https://doi.org/10.1007/978-3-030-02586-1_4" @default.
- W2908987157 hasPublicationYear "2018" @default.
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