Population Dynamics with Threshold Effects Give Rise to a Diverse Family of Allee Effects

Fadai, Nabil T.; Simpson, Matthew J.

Abstract

The Allee effect describes populations that deviate from logistic growth models and arises in applications including ecology and cell biology. A common justification for incorporating Allee effects into population models is that the population in question has altered growth mechanisms at some critical density, often referred to as a threshold effect. Despite the ubiquitous nature of threshold effects arising in various biological applications, the explicit link between local threshold effects and global Allee effects has not been considered. In this work, we examine a continuum population model that incorporates threshold effects in the local growth mechanisms. We show that this model gives rise to a diverse family of Allee effects and we provide a comprehensive

Citation

Fadai, N. T., & Simpson, M. J. (2020). Population Dynamics with Threshold Effects Give Rise to a Diverse Family of Allee Effects. Bulletin of Mathematical Biology, 82(6), Article 74. https://doi.org/10.1007/s11538-020-00756-5

• Journal Article Type: Article
• Acceptance Date: May 26, 2020
• Online Publication Date: Jun 12, 2020
• Publication Date: Jun 12, 2020
• Deposit Date: Jun 3, 2020
• Publicly Available Date: Jun 18, 2020
• Journal: Bulletin of Mathematical Biology
• Print ISSN: 0092-8240
• Electronic ISSN: 1522-9602
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 82
• Issue: 6
• Article Number: 74
• DOI: https://doi.org/10.1007/s11538-020-00756-5
• Keywords: Immunology; General Biochemistry, Genetics and Molecular Biology; Computational Theory and Mathematics; General Neuroscience; Pharmacology; General Agricultural and Biological Sciences; General Mathematics; General Environmental Science
• Public URL: https://nottingham-repository.worktribe.com/output/4570032
• Publisher URL: https://link.springer.com/article/10.1007/s11538-020-00756-5
• Additional Information: Received: 16 April 2020; Accepted: 27 May 2020; First Online: 12 June 2020