caa a22 4500 477067425 CHVBK 20180405111416.0 cr unu---uuuuu 170330e19960701xx s 000 0 eng 10.1007/BF02459478 doi (NATIONALLICENCE)springer-10.1007/BF02459478 Mathematical model of self-organizing hierarchies in animal societies [Elektronische Daten] [Eric Bonabeau, Guy Theraulaz, Jean-Louis Deneubourg] We propose a mathematical approach to the modelling of self-organizing hierarchies in animal societies. This approach relies on a basic positive feedback mechanism that reinforces the ability of a given individual to win or to lose in a hierarchical interaction, depending on how many times it won or lost in previous interactions. Motivated by experiments carried out on primitively eusocial waspsPolistes, the model, is based on coupled differential equations supplemented with a small stochastic term. Numerical integrations allow many different hierarchical profiles to be obtained depending on the model parameters: (1) the particular form of the probability for an individual to win or lose a fight given its history, (2) the probability of interaction between two individuals, (3) the forgetting strength, which determines the rate at which events in the past are forgotten and no longer influence the force of an individual and (4) two individual recognition parameters, which set the contribution of individual recognition in the process of hierarchical genesis. We compare the results, expressed in terms of a hierarchical index or of the Landau number that describes the degree of linearity of the hierarchy, with various experimental results. Society for Mathematical Biology, 1996 Bonabeau Eric France Telecom-CNET Lannion, B RIO/TNT, 22307, Lannion Cédex, France aut Theraulaz Guy CNRS-URA 664, Centre de Recherches en Biologie du Comportement, Université Paul Sabatier, 118 route de Narbonne, 31062, Toulouse, France aut Deneubourg Jean-Louis Unit of Theoretical Behavioural Ecology, Service de Chimie-Physique, Université Libre de Bruxelles, Boulevard du Triomphe, CP 231, 1050, Bruxelles, Belgique aut Bulletin of Mathematical Biology Kluwer Academic Publishers 58/4(1996-07-01), 661-717 0092-8240 58:4<661 1996 58 11538 https://doi.org/10.1007/BF02459478 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02459478 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bonabeau Eric France Telecom-CNET Lannion, B RIO/TNT, 22307, Lannion Cédex, France aut NATIONALLICENCE 700 1- Theraulaz Guy CNRS-URA 664, Centre de Recherches en Biologie du Comportement, Université Paul Sabatier, 118 route de Narbonne, 31062, Toulouse, France aut NATIONALLICENCE 700 1- Deneubourg Jean-Louis Unit of Theoretical Behavioural Ecology, Service de Chimie-Physique, Université Libre de Bruxelles, Boulevard du Triomphe, CP 231, 1050, Bruxelles, Belgique aut NATIONALLICENCE 773 0- Bulletin of Mathematical Biology Kluwer Academic Publishers 58/4(1996-07-01), 661-717 0092-8240 58:4<661 1996 58 11538 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer