Bifurcation analysis of the predator–prey model with the Allee effect in the predator
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Biology"
DOI: 10.1007/s00285-021-01707-x
Abstract: The use of predator–prey models in theoretical ecology has a long history, and the model equations have largely evolved since the original Lotka–Volterra system towards more realistic descriptions of the processes of predation, reproduction and… read more here.
Keywords: allee effect; effect predator; predator; predator prey ... See more keywords
Bogdanov–Takens bifurcation analysis of a delayed predator-prey system with double Allee effect
Sign Up to like & getrecommendations! Published in 2021 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-021-06338-x
Abstract: The Bogdanov–Takens (B–T) bifurcation of a delayed predator-prey system with double Allee effect in prey are studied in this paper. According to the existence conditions of B–T bifurcation, we give the associated generic unfolding, and… read more here.
Keywords: system; allee effect; bogdanov takens; bifurcation ... See more keywords
Is the allee effect relevant to stochastic cancer model?
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-021-01618-6
Abstract: This paper delineates the evolution of a tumor cell population with Allee effect through a system of stochastic differential equations. A stochastic extension of the deterministic model is examined to encapsulate the uncertainty or variation… read more here.
Keywords: relevant stochastic; allee effect; effect relevant; measure ... See more keywords
Refugia and Allee Effect in Prey Species Stabilize Chaos in a Tri-Trophic Food Chain Model
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DOI: 10.1007/s12591-019-00457-z
Abstract: In this paper a mathematical model is proposed and analyzed to study the dynamics of tri-trophic food chain model with refugia and allee effect in prey species. Criteria for local stability, instability and global stability… read more here.
Keywords: allee effect; food chain; model; chain model ... See more keywords
Allee effect in prey’s growth reduces the dynamical complexity in prey-predator model with generalist predator
Sign Up to like & getrecommendations! Published in 2021 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2020.09.046
Abstract: Abstract Prey-predator models with Allee effect have great importance in the context of ecology. Allee effect refers to a positive relationship between population density and per capita growth rate. Here we examine the influences of… read more here.
Keywords: predator; model; prey predator; allee effect ... See more keywords
Evolution of mate-finding Allee effect in prey.
Sign Up to like & getrecommendations! Published in 2018 at "Journal of theoretical biology"
DOI: 10.1016/j.jtbi.2017.12.024
Abstract: The search for mates is often accompanied with conspicuous behaviour or morphology that can be exploited by predators. Here we explore the evolutionary consequences of a trade-off that arises naturally between mate acquisition and risk… read more here.
Keywords: search; allee effect; mate; finding allee ... See more keywords
Contact tracing-induced Allee effect in disease dynamics
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Theoretical Biology"
DOI: 10.1016/j.jtbi.2022.111109
Abstract: Contact tracing, case isolation, quarantine, social distancing, and other non-pharmaceutical interventions (NPIs) have been a cornerstone in managing the COVID-19 pandemic. However, their effects on disease dynamics are not fully understood. Saturation of contact tracing… read more here.
Keywords: allee effect; contact tracing; disease dynamics; induced allee ... See more keywords
Enhancement of extreme events through the Allee effect and its mitigation through noise in a three species system
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DOI: 10.1038/s41598-021-00174-0
Abstract: We consider the dynamics of a three-species system incorporating the Allee Effect, focussing on its influence on the emergence of extreme events in the system. First we find that under Allee effect the regular periodic… read more here.
Keywords: system; allee effect; noise; extreme events ... See more keywords
IPM strategies to a discrete switching predator-prey model induced by a mate-finding Allee effect
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Biological Dynamics"
DOI: 10.1080/17513758.2019.1682200
Abstract: ABSTRACT This paper proposes a discrete switching predator-prey model with a mate-finding Allee effect, where also switches are guided by Allee effect. One of the strategies analysed is to use a chemical in order to… read more here.
Keywords: predator prey; prey model; switching predator; allee effect ... See more keywords
Allee effects and the Allee-effect zone in northwest Atlantic cod
Sign Up to like & getrecommendations! Published in 2022 at "Biology Letters"
DOI: 10.1098/rsbl.2021.0439
Abstract: According to the theory of compensatory dynamics, depleted populations should recover when the threat responsible for their decline is removed because per capita population growth is assumed to be highest when populations are at their… read more here.
Keywords: allee effect; atlantic cod; recovery; cod ... See more keywords
Solution of the Crow-Kimura model with changing population size and Allee effect.
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DOI: 10.1103/physreve.98.012405
Abstract: The Crow-Kimura model is commonly used in the modeling of genetic evolution in the presence of mutations and associated selection pressures. We consider a modified version of the Crow-Kimura model, in which population sizes are… read more here.
Keywords: crow kimura; model; kimura model; allee effect ... See more keywords