Stability analysis of continuous population model involving predation and Allee effect

DOI10.1016/j.chaos.2008.05.008zbMath1198.34138OpenAlexW1990230222WikidataQ115579963 ScholiaQ115579963MaRDI QIDQ602436

Oktay Duman, Hüseyin Merdan

Publication date: 4 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2008.05.008

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Periodic solutions to functional-differential equations (34K13)

Related Items (7)

Neimark-Sacker bifurcation and stability analysis of a discrete-time prey-predator model with allee effect in prey ⋮ Global and local stability analysis in a nonlinear discrete-time population model ⋮ Allee effect induced diversity in evolutionary dynamics ⋮ Stability analysis of a general discrete-time population model involving delay and Allee effects ⋮ STABILITY ANALYSIS OF A LOTKA–VOLTERRA TYPE PREDATOR–PREY SYSTEM INVOLVING ALLEE EFFECTS ⋮ The influence of time-dependent delay on behavior of stochastic population model with the allee effect ⋮ Extinction in stochastic predator-prey population model with Allee effect on prey

Cites Work

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• Allee effects on population dynamics in continuous (overlapping) case
• Stability of limit cycles in a pluripotent stem cell dynamics model
• Allee effects on population dynamics with delay
• Stability of Volterra diffusion equations with time delays
• Indirect Allee effect, bistability and chaotic oscillations in a predator--prey discrete model of logistic type
• Bifurcation of the exponentially self-regulating population model
• Mathematical models and stabilizing bio-control mechanisms for microbial populations in a cultured environment
• The stability of predator\,-\,prey systems subject to the Allee effects

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