Stochastic difference equations with the Allee effect

DOI10.3934/dcds.2016060zbMath1351.39011arXiv1606.01928OpenAlexW2962885946MaRDI QIDQ325217

Elena Braverman, Aleksandra Rodkina

Publication date: 18 October 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.01928

zbMATH Keywords

population dynamicsAllee effectstochastic difference equationsa.s. low densitya.s. persistence

Mathematics Subject Classification ID

Estimation and detection in stochastic control theory (93E10) Population dynamics (general) (92D25) Generation, random and stochastic difference and differential equations (37H10) Stochastic difference equations (39A50)

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Cites Work

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• Difference equations of Ricker and logistic types under bounded stochastic perturbations with positive mean
• On stochastic stabilization of difference equations
• On delay-dependent stability for vector nonlinear stochastic delay-difference equations with Volterra diffusion term
• Constrained stability and instability of polynomial difference equations with state-dependent noise
• Some conditions for boundedness of solutions of difference Volterra equations
• Allee effects, extinctions, and chaotic transients in simple population models
• Stabilization of two cycles of difference equations with stochastic perturbations
• Persistence for stochastic difference equations: a mini-review
• Backward Stochastic Difference Equations and Nearly Time-Consistent Nonlinear Expectations
• Lyapunov Functionals and Stability of Stochastic Difference Equations
• On local stability for a nonlinear difference equation with a non-hyperbolic equilibrium and fading stochastic perturbations
• Non-exponential stability and decay rates in nonlinear stochastic difference equations with unbounded noise
• Mathematical Methods of Population Biology
• Instability and stability of solutions of systems of nonlinear stochastic difference equations with diagonal noise
• Chaotic and stable perturbed maps: 2-cycles and spatial models
• Almost sure convergence of solutions to non-homogeneous stochastic difference equation