Random perturbations of an eco-epidemiological model

2020/07/20 by de Jesus, Lopo F., Silva, César M., Vilarinho, Helder
#34F05 #37A50 #60H25 #Dynamical Systems (math.DS) #FOS: Biological sciences #FOS: Mathematics #Populations and Evolution (q-bio.PE)

paper · doi:10.48550/arxiv.2007.10188

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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