Random perturbations of an eco-epidemiological model

TL;DR

This paper studies how random environmental fluctuations affect eco-epidemiological models, establishing conditions for persistence and extinction, and demonstrating the existence of global random attractors in these stochastic systems.

Contribution

It introduces a framework for analyzing the impact of randomness on eco-epidemiological dynamics, proving the existence of global attractors and extinction conditions.

Findings

Existence of a global random attractor for the models

Conditions for the persistence of susceptibles and preys

Criteria for the extinction of infectives and predators

Abstract

We consider random perturbations of a general eco-epidemiological model. We prove the existence of a global random attractor, the persistence of susceptibles preys and provide conditions for the simultaneous extinction of infectives and predators. We also discuss the dynamics of the corresponding random epidemiological $SI$ and predator-prey models. We obtain for this cases a global random attractor, prove the prevalence of susceptibles/preys and provide conditions for the extinctions of infectives/predators.