Random perturbations of an eco-epidemiological model

C\'esar M. Silva; Helder Vilarinho; Lopo F. de Jesus

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arxiv 2007.10188 v1 pith:URHWDNPI submitted 2020-07-20 math.DS q-bio.PE

Random perturbations of an eco-epidemiological model

Lopo F. de Jesus , C\'esar M. Silva , Helder Vilarinho This is my paper

classification math.DS q-bio.PE

keywords randomattractorconditionseco-epidemiologicalglobalinfectivesmodelperturbations

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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.

Random perturbations of an eco-epidemiological model

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