TY - GEN
T1 - Turing patterns in deserts
AU - Sherratt, Jonathan A.
PY - 2012
Y1 - 2012
N2 - Self-organised patterns of vegetation are a characteristic feature of many semi-arid regions. In particular, banded vegetation is typical on hillsides. Mathematical modelling is widely used to study these banded patterns, because there are no laboratory replicates. I will describe the development of spatial patterns in an established model for banded vegetation via a Turing bifurcation. I will discuss numerical simulations of the phenomenon, and I will summarise nonlinear analysis on the existence and form of spatial patterns as a function of the model parameter that corresponds to mean annual rainfall.
AB - Self-organised patterns of vegetation are a characteristic feature of many semi-arid regions. In particular, banded vegetation is typical on hillsides. Mathematical modelling is widely used to study these banded patterns, because there are no laboratory replicates. I will describe the development of spatial patterns in an established model for banded vegetation via a Turing bifurcation. I will discuss numerical simulations of the phenomenon, and I will summarise nonlinear analysis on the existence and form of spatial patterns as a function of the model parameter that corresponds to mean annual rainfall.
UR - https://www.scopus.com/pages/publications/84862226500
U2 - 10.1007/978-3-642-30870-3_67
DO - 10.1007/978-3-642-30870-3_67
M3 - Conference contribution
AN - SCOPUS:84862226500
SN - 9783642308697
T3 - Lecture Notes in Computer Science
SP - 667
EP - 674
BT - How the World Computes. CiE 2012
PB - Springer
T2 - 8th Conference on Computability in Europe 2012
Y2 - 18 June 2012 through 23 June 2012
ER -