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Fort, Joaquim
PÃ©rez Losada, Joaquim Isern SardÃ³, Neus 

We extend a previous model of the Neolithic transition in Europe [J. Fort and V. MÃ©ndez, Phys. Rev. Lett. 82, 867 (1999)] by taking two effects into account: (i) we do not use the diffusion approximation (which corresponds to secondorder Taylor expansions), and (ii) we take proper care of the fact that parents do not migrate away from their children (we refer to this as a timeorder effect, in the sense that it implies that children grow up with their parents, before they become adults and can survive and migrate). We also derive a timeordered, secondorder equation, which we call the sequential reactiondiffusion equation, and use it to show that effect (ii) is the most important one, and that both of them should in general be taken into account to derive accurate results. As an example, we consider the Neolithic transition: the model predictions agree with the observed front speed, and the corrections relative to previous models are important (up to 70%) Funded by the European Commission Grant No. NEST28192FEPRE, the MECFEDER Grant No. FIS200612296C0202, and the Generalitat de Catalunya Grant No.SGR200500087 

http://hdl.handle.net/2072/25837  
eng  
American Physical Society  
Tots els drets reservats  
FÃsica  Ecologia
NeolÃtic  Models matemÃ tics Neolithic period  Mathematical models Physics  Ecology Equacions de reacciÃ³difusiÃ³ Reactiondiffusion equations 

Fronts from integrodifference equations and persistence effects on the Neolithic transition  
info:eurepo/semantics/article  
Recercat 