ArticleBulletin of mathematical biology2020
Population Dynamics with Threshold Effects Give Rise to a Diverse Family of Allee Effects.
Article in Bulletin of mathematical biology, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
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Who cites it
7 citing papers in PubMed.
- Quantifying antibiotic susceptibility and inoculum effects using transient dynamics of Pseudomonas aeruginosa.PLoS computational biology · 2026Article
- A Mathematical Perspective on the Influence of Allee Effects in Oncolytic Virotherapy.Mathematics (Basel, Switzerland) · 2025Article
- Defining preclinical efficacy with the DNAPK inhibitor AZD7648 in combination with olaparib: a minimal systems pharmacokinetic-pharmacodynamic model.Journal of pharmacokinetics and pharmacodynamics · 2025Article
- Clonal cooperation through soluble metabolite exchange facilitates metastatic outgrowth by modulating Allee effect.Science advances · 2023Article
- Data driven model discovery and interpretation for CAR T-cell killing using sparse identification and latent variables.Frontiers in immunology · 2023Article
- Interpreting how nonlinear diffusion affects the fate of bistable populations using a discrete modelling framework.Proceedings. Mathematical, physical, and engineering sciences · 2022Article
- Population dynamics with spatial structure and an Allee effect.Proceedings. Mathematical, physical, and engineering sciences · 2020Article
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Authors and funding
2 authors.
Funding
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 analysis of which choices of local growth mechanisms give rise to specific Allee effects. Calibrating this model to a recent set of experimental data describing the growth of a population of cancer cells provides an interpretation of the threshold population density and growth mechanisms associated with the population.
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Registered trials
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