# "Predator and prey" model revisited -- influence of external fluxes and noise

## TL;DR

This paper revisits the predator-prey model by incorporating external fluxes and noise in kinetic coefficients, exploring how these modifications affect the dynamics of predator and prey populations.

## Contribution

It introduces two natural modifications to the classical predator-prey model: external fluxes via licensing and stochastic noise in kinetic coefficients.

## Key findings

- External fluxes influence population stability.
- Noise in kinetic coefficients affects oscillation patterns.
- Modified model provides more realistic ecological dynamics.

## Abstract

In this paper, we suggest two ways of modifications, which seem natural: a) we will introduce sponsors/hunters of predators or/and preys with "license" for constant rate of sponsoring/hunting (regular external fluxes); b) we will introduce noise of kinetic coefficients.