## Description

Predator-prey systems aim at modelling the interactions between specieswhich interfere with each other through predation. In particular, the resource-

consumer interaction between the two species is described by the functional

response, that is the average number of prey caught per predator per unit of

time. Well known examples are the functions given by Holling, Beddington and DeAngelis. Phenomenological models, which consider the population

characteristics, have been widely used, but they lack of interpretation under

the point of view of the individual processes. Therefore, my interest towards a

mechanistic approach for the derivation of the functions describing the popu-

lation dynamics is justied by the necessity of interpreting all the parameters

involved in the model. I will introduce a formal method for the derivation of

the functional response, given a system of fast state transitions of the prey and

the predator between dierent behavioural states, while the total densities of

both species are constant. I will show how this method can also apply for the

derivation of the prey or predator's demographic numerical response, such that

its relationship with the functional response is no longer linear.

Period | 19 May 2019 → 23 May 2019 |
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Event title | École de Recherche, Aussois, France |

Event type | Workshop |

Location | Aussois, France |

Degree of Recognition | International |