Host Demographic Allee Effect, Fatal Disease, and Migration: Persistence or Extinction

In this paper, we focus on biodiversity, a major problem for ecosystem resilience. We use extensions of the suspectible-infected (SI) epidemic model of Hilker et al. to study how population persistence or extinction of a vulnerable species relates to habitat dependent Allee thresholds, fatal disease dynamics, and migration rates in both discrete and continuum sets of compartments. We analyze the migration-linked models and establish verifiable conditions that guarantee host population persistence (with or without infected individuals) or extinction.

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