Séminaire du CAMS
” La question de la modélisation en sciences humaines : mathématiques et informatique”
Henri Berestycki, Jean-Pierre Nadal et Pierre Rosenstiehl
prochaine séance : jeudi 23 novembre à 14h30
à l’Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 – Paris
Dans le cadre du Colloque « Reaction-diffusion, Propagation, Modelling » qui marquera la fin du projet ERC ReaDi, à l’IHP du 20 au 23 novembre, une séance exceptionnelle du séminaire aura lieu selon le programme ci-dessous.
Université Paris Diderot
Predators-prey model with competition, the emergence of packs and territoriality
I will present a series of works in collaboration with Henri Berestycki, dealing with systems of predators interacting with a single prey. The system is linked to the Lotka-Volterra model of interaction with diffusion, but unlike more classic works, we are interested in studying the case where competition between predators is very strong: in this context, the original domain is partitioned in different sub-territories occupied by different predators. The question that we ask is under which conditions the predators segregate in packs and whether there is a benefit to the hostility between the packs. More specifically, we study the stationary states of the system, the stability of the solutions and the bifurcation diagram, and the asymptotic properties of the system when the intensity of the competition becomes infinite.
Meiji University, Masashino University
Transition waves in a farmers and hunter-gatherers model of the neolithic revolution in Europe
The Neolithic transition is one of the most significant single developments in human history, which consists of a demographic shift from hunter-gatherers to farmers. Around 10000 years ago, the Neolithic transition started to spread of early farming in Europe. The radiocarbon dating performed by archeologists shows that the transition began from the site of the east part of Europe, which is nearby Turkey and named as Jericho, and then it spread to the rest part of Europe through a mutual interaction between farmers and hunter-gatherers. Archeological records reveal that the farmers expanded almost constantly into the region of hunter-gatherers. In this talk, I would like to propose a reaction-diffusion model to discuss transition wave of farmers from the focus on traveling waves in the model.
Retrouvez ici toutes les informations sur le séminaire : http://cams.ehess.fr/seminaire-question-modelisation/