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arXiv · 2007.10188

Random perturbations of an eco-epidemiological model

Lopo F. de Jesus·César M. Silva·Helder Vilarinho
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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.

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Lopo F. de Jesus, César M. Silva, Helder Vilarinho. 2020-07-20. Random perturbations of an eco-epidemiological model. https://arxiv.org/abs/2007.10188

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