Complex Dynamics of a Memory‐Induced Stage‐Structured Diffusive System With Maturation Delay and Strong Allee Effect
Sign Up to like & getrecommendations! Published in 2025 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.10664
Abstract: In this work, a memory‐induced stage‐structured prey–predator diffusive system with maturation delay and strong Allee effect is proposed. First, the positivity of solutions and survival of the non‐spatial system are studied. The results indicate that… read more here.
Keywords: system; memory; maturation delay; allee effect ... See more keywords
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
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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
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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.
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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
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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
Dynamics and control of two-dimensional discrete-time biological model incorporating weak Allee's effect.
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DOI: 10.1063/5.0195199
Abstract: Incorporating a weak Allee effect in a two-dimensional biological model in ℜ2, the study delves into the application of bifurcation theory, including center manifold and Ljapunov-Schmidt reduction, normal form theory, and universal unfolding, to analyze… read more here.
Keywords: weak allee; discrete time; effect; allee effect ... See more keywords
Chaos and extinction risks of sexually reproductive generalist top predator in a seasonally forced food chain system with Allee effect.
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DOI: 10.1063/5.0212961
Abstract: This paper investigates the dynamics of a tritrophic food chain model incorporating an Allee effect, sexually reproductive generalist top predators, and Holling type IV and Beddington-DeAngelis functional responses for interactions across different trophic levels. Analytically,… read more here.
Keywords: predator; sexually reproductive; allee effect; food chain ... See more keywords