A method for the derivation of the functional and numerical responses in predator-prey models.

Description

Predator-prey systems aim at modelling the interactions between species
which 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
Event title	École de Recherche, Aussois, France
Event type	Workshop
Location	Aussois, France
Degree of Recognition	International