ArticleJournal of mathematical biology2019
Persistence and extinction of population in reaction-diffusion-advection model with strong Allee effect growth.
Article in Journal of mathematical biology, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Who cites it
4 citing papers in PubMed.
- Modelling phytoplankton-virus interactions: phytoplankton blooms and lytic virus transmission.Journal of mathematical biology · 2024Article
- Simulating the dynamics of dispersal and dispersal ability in fragmented populations with mate-finding Allee effects.Ecology and evolution · 2023Article
- Global dynamics of a generalist predator-prey model in open advective environments.Journal of mathematical biology · 2022Article
- Travelling wave solutions in a negative nonlinear diffusion-reaction model.Journal of mathematical biology · 2020Article
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Authors and funding
3 authors.
Funding
Abstract
A reaction-diffusion-advection equation with strong Allee effect growth rate is proposed to model a single species stream population in a unidirectional flow. Here random undirected movement of individuals in the environment is described by passive diffusion, and an advective term is used to describe the directed movement in a river caused by the flow. Under biologically reasonable boundary conditions, the existence of multiple positive steady states is shown when both the diffusion coefficient and the advection rate are small, which lead to different asymptotic behavior for different initial conditions. On the other hand, when the advection rate is large, the population becomes extinct regardless of initial condition under most boundary conditions. It is shown that the population persistence or extinction depends on Allee threshold, advection rate, diffusion coefficient and initial conditions, and there is also rich transient dynamical behavior before the eventual population persistence or extinction.
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Registered trials
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