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