Random perturbations of an eco-epidemiological model

Abstract

<p style='text-indent:20px;'>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 <inline-formula><tex-math id="M1">\begin{document}$ SI $\end{document}</tex-math></inline-formula> 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.</p>