Attractors in almost periodic Nicholson systems and some numerical simulations

DOI10.1016/j.jmaa.2023.127588zbMath1527.34114arXiv2306.09685OpenAlexW4383741823MaRDI QIDQ6115684

Ana M. Sanz, Víctor M. Villarragut

Publication date: 10 August 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.09685

zbMATH Keywords

persistenceglobal attractorpopulation dynamicsalmost periodic Nicholson systems

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Population dynamics (general) (92D25) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Continuous separation for monotone skew-product semiflows: from theoretical to numerical results
• Uniform and strict persistence in monotone skew-product semiflows with applications to non-autonomous Nicholson systems
• Minimal sets in monotone and concave skew-product semiflows. I: A general theory
• Attractors for infinite-dimensional non-autonomous dynamical systems
• Persistence, permanence and global stability for an \(n\)-dimensional Nicholson system
• Periodic solutions for a non-monotone family of delayed differential equations with applications to Nicholson systems
• Global asymptotic behaviour for a Nicholson model with patch structure and multiple delays
• A 3(2) pair of Runge-Kutta formulas
• Introduction to functional differential equations
• Asymptotic behaviour for a class of non-monotone delay differential systems with applications
• Asymptotically almost periodic dynamics on delayed Nicholson-type system involving patch structure
• Exponential stability in non-autonomous delayed equations with applications to neural networks
• Uniform persistence and upper Lyapunov exponents for monotone skew-product semiflows
• Almost automorphic and almost periodic dynamics in skew-product semiflows
• Is uniform persistence a robust property in almost periodic models? A well-behaved family: almost-periodic Nicholson systems
• Oscillation and Chaos in Physiological Control Systems
• Permanence and exponential stability for generalised nonautonomous Nicholson systems
• Solving DDEs in Matlab