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Population dynamics with spatial structure and an Allee effect.


ABSTRACT: Population dynamics including a strong Allee effect describe the situation where long-term population survival or extinction depends on the initial population density. A simple mathematical model of an Allee effect is one where initial densities below the threshold lead to extinction, whereas initial densities above the threshold lead to survival. Mean-field models of population dynamics neglect spatial structure that can arise through short-range interactions, such as competition and dispersal. The influence of non-mean-field effects has not been studied in the presence of an Allee effect. To address this, we develop an individual-based model that incorporates both short-range interactions and an Allee effect. To explore the role of spatial structure we derive a mathematically tractable c

SUBMITTER: Surendran A 

PROVIDER: S-EPMC7655738 | biostudies-literature | 2020 Oct

REPOSITORIES: biostudies-literature