# Interactions between different predator-prey states. A method for the derivation of the functional and numerical response

## TL;DR

This paper presents a formal method to derive predator functional and numerical responses from fast state transition models, linking individual behavior to population-level responses.

## Contribution

It introduces a novel systematic approach to derive functional and numerical responses based on fast state transitions, enhancing interpretability.

## Key findings

- Explicit derivation of functional response from state transitions
- Linking individual behavior to population dynamics
- Method applicable to predator-prey systems

## Abstract

In this paper we introduce a formal method for the derivation of a predator's functional response from a system of fast state transitions of the prey or predator on a time scale during which the total prey and predator densities remain constant. Such derivation permits an explicit interpretation of the structure and parameters of the functional response in terms of individual behaviour. The same method is also used here to derive the corresponding numerical response of the predator as well as of the prey.