Titlebook: Hyperbolic and Kinetic Models for Self-organised Biological Aggregations; A Modelling and Patt Raluca Eftimie Book 2018 Springer Nature Swi

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Hectic

Hyperbolic and Kinetic Models for Self-organised Biological Aggregations978-3-030-02586-1Series ISSN 0075-8434 Series E-ISSN 1617-9692

鳴叫

Raluca EftimieDiscusses various hyperbolic and kinetic mathematical models for stationary and moving biological/ecological aggregations formed in response to local and nonlocal social interactions.Demonstrates how

JOT

Lecture Notes in Mathematicshttp://image.papertrans.cn/h/image/430609.jpg

Anthrp

https://doi.org/10.1007/978-3-030-02586-135Bxx, 35C07, 35Lxx, 35Q20, 35Q92, 35R09, 35R60; 92-01, 92-02, 92C15, 92D50; 37G40, 58J55, 65Nxx; self

BIPED

Introduction,elf-organised aggregations are found in swarms of insects, schools of fish, flocks of birds, mammal herds, bacteria and even human crowds. The complex spatial and spatial-temporal patterns exhibited by these aggregations, from milling schools of fish and zigzagging flocks of birds, to rippling waves

Discrete

A Short Introduction to One-Dimensional Conservation Laws,he last decades. Since the theory behind these equations is well known (and can be found in any textbook on hyperbolic conservation laws), our goal here is to give the reader a brief review of this theory (while leaving behind most technical details). This approach will help the reader understand th

Semblance

One-Equation Local Hyperbolic Models, the complexity of these models, we start with a variety of hyperbolic models for car traffic and pedestrian traffic (since the models for collective movement of pedestrians are a natural extension of the car traffic models, and moreover traffic-like aspects can be found in many biological systems).

不透明性

Local Hyperbolic/Kinetic Systems in 1D,sponse 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 describ

怒目而視

Nonlocal Hyperbolic Models in 1D, a few classes of hyperbolic models that include nonlocal interactions among cells/bacteria/animals, which can influence (1) their turning behaviour, (2) their speeding behaviour, or (3) both turning and speeding behaviours. In addition to emphasising the complexity of the numerical patterns that ca