Optimal diffusion in ecological dynamics with Allee effect in a metapopulation

2018/09/27 by Marcelo A. Pires, Sílvio M. Duarte Queirós · 2 citations
Biochemistry, Genetics and Molecular Biology · Computer Science · #q-bio.PE #cs.MA

paper · pdf · doi:10.1371/journal.pone.0218087

published as PLoS One, 2019 · 16 pages; 6 figures

arxiv created 2018/09/27 · arxiv updated 2019/11/27

Abstract

How diffusion impacts on ecological dynamics under the Allee effect and spatial constraints? That is the question we address. Employing a microscopic minimal model in a metapopulation (without imposing nonlinear birth and death rates) we evince --- both numerically and analitically --- the emergence of an optimal diffusion that maximises the survival probability. Even though, at first such result seems counter-intuitive, it has empirical support from recent experiments with engineered bacteria. Moreover, we show that this optimal diffusion disappears for loose spatial constraints.

Cited by

• Tricriticality and chaos in a generalized Allee-logistic map
• Chaos and Parrondo's paradox: An overview

Related

• Population invasion with bistable dynamics and adaptive evolution: the evolutionary rescue
• Interpreting how nonlinear diffusion affects the fate of bistable populations using a discrete modelling framework
• Optimal Protected Area Design for Allee Effect Mitigation in Spatial Predator-Prey Systems
• Extinction and spreading of a species under the joint influence of climate change and a weak Allee effect: a two-patch model
• Separation of time-scales for the seed bank diffusion and its jump-diffusion limit