conférence de danielle hilhorst · danielle hilhorst conférence de danielle hilhorst directeur de...
TRANSCRIPT
09-07
13:37
2017
09-07
13:37
2017
On a reaction-diffusion model for the Neolithictransition from hunting and gathering to early
farmingEvolution of human populations extends back over two mil-
lion years and more than ten thousand years ago, people still
met their food needs by means of hunting and gathering, that is
through the exploitation of seasonally available wild animals and
plants [1]. We have recently proposed a reaction-diffusion model
for the spreading of farmers into a region occupied by hunter-
gatherers. This model raises a number of interesting questions,
and answering them permits us to explain the archeological find-
ings described by Ammerman and Cavalli-Sforza [1]. In this talk
we recall results concerning the existence and the uniqueness of
a global-in-time solution [2]; we then present a singular limit re-
lated to the farmers’ interaction [3] and describe the large time
behaviour of the solution of the limit problem [4].
References
[1] A.J. Ammerman, and L.L. Cavalli-Sforza, Princeton University
Press, Princeton, 1984.
[2] J. Elias, K. Humayun, and M. Mimura, preprint.
[3] J. Elias, D. Hilhorst, M. Mimura, and Y. Morita, in preparation.
[4] J. Elias, D. Hilhorst, and M. Mimura, in preparation.
Danielle Hilhorst
Conférence de Danielle Hilhorst
Directeur de Recherche, CNRS et Université de
Paris-Sud, France
25 & 26 Octobre 2017
à l’Université de Caen, UFR des Sciences
Amphi S3-xx
site web: edp − normnde4.scencesconƒ .org