@article{fdi:010067723,
  title = {{E}ffects of fast hawk dove-bully game on the dynamics of a stage-structured population},
  author = {{M}oussaoui, {A}. and {A}uger, {P}ierre},
  editor = {},
  language = {{ENG}},
  abstract = {hi this paper, we present a review about mathematical models of population and community dynamics incorporating individual behaviour. {T}he considered models consist in coupling a game theoretic model, going on at a fast time scale and that describes the change of tactics among individuals in a population or in a community to a model going on at a slow time scale describing the effects in the long term of individual tactics on reproduction and mortality of the populations. {A}s application, an extension of a stage-structured population with intra-individual behavioural variability is presented. {I}ndividuals can adopt three different tactics: hawk, dove and bully. {W}e consider a stage-structured population with immature and mature individuals. {A} mature individual experiences the different tactics in his life and it is assumed that the game is played at a fast time scale in comparison to population dynamics. {T}his fast part of the model is coupled to a slow part, which describes the growth of each sub-population. {B}y use of aggregation of variables methods, we obtain a reduced system of two differential equations governing {M}iniature and total mature sub populations at the slow time scale. {T}he analysis of the model shows that when the cost of fightings is smaller, the proportion of hawks is larger. {T}he total population size equilibrium shows a maximum with respect to the gain of the game.},
  keywords = {game theory ; {H}awk-{D}ove-{B}ully model ; population dynamics ; aggregation of variables},
  booktitle = {},
  journal = {{M}athematical {M}odelling of {N}atural {P}henomena},
  volume = {11},
  numero = {4},
  pages = {135--153},
  ISSN = {0973-5348},
  year = {2016},
  DOI = {10.1051/mmnp/201611410},
  URL = {https://www.documentation.ird.fr/hor/fdi:010067723},
}