{
  "id": "2007.10188",
  "version": "v1",
  "published": "2020-07-20T15:22:30.000Z",
  "updated": "2020-07-20T15:22:30.000Z",
  "title": "Random perturbations of an eco-epidemiological model",
  "authors": [
    "Lopo F. de Jesus",
    "César M. Silva",
    "Helder Vilarinho"
  ],
  "categories": [
    "math.DS",
    "q-bio.PE"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-20T15:22:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34F05",
      "60H25",
      "37A50"
    ],
    "keywords": [
      "random perturbations",
      "global random attractor",
      "general eco-epidemiological model",
      "susceptibles preys",
      "conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}