New results on global asymptotic stability for a nonlinear density-dependent mortality Nicholson's blowflies model with multiple pairs of time-varying delays

DOI10.1186/s13660-019-2277-2zbMath1503.37092OpenAlexW3000407426MaRDI QIDQ2069271

Hong Zhang, Qian Cao, Guoqiu Wang, Shuhua Gong

Publication date: 20 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-019-2277-2

zbMATH Keywords

global asymptotic stabilityNicholson's blowflies modelnonlinear density-dependent mortality termmultiple pairs of time-varying delay

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Asymptotic theory of functional-differential equations (34K25) Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (8)

Global population dynamics of a single species structured with distinctive time-varying maturation and self-limitation delays ⋮ Novel stability criteria on a patch structure Nicholson's blowflies model with multiple pairs of time-varying delays ⋮ Novel results on attractivity of a neoclassical growth system incorporating multiple pairs of time-varying delays ⋮ Attractivity criterion on a delayed tick population dynamics equation with a reproductive function \(f(u) = ru^\gamma e^{-\sigma u}\) ⋮ Dynamic analysis on a delayed nonlinear density-dependent mortality Nicholson's blowflies model ⋮ Finite-time synchronization criterion of graph theory perspective fractional-order coupled discontinuous neural networks ⋮ Global asymptotic stability for a nonlinear density-dependent mortality Nicholson's blowflies system involving multiple pairs of time-varying delays ⋮ Bistable dynamics on a tick population equation incorporating Allee effect and two different time-varying delays

Cites Work

• Unnamed Item
• Unnamed Item
• Mackey-Glass model of hematopoiesis with non-monotone feedback: stability, oscillation and control
• The Mackey-Glass model of respiratory dynamics: review and new results
• Permanence for Nicholson-type delay systems with nonlinear density-dependent mortality terms
• Positive periodic solutions of delayed Nicholson's blowflies models with a nonlinear density-dependent mortality term
• Global asymptotic stability for Nicholson's blowflies model with a nonlinear density-dependent mortality term
• Existence of positive periodic solutions for a generalized Nicholson's blowflies model
• Nicholson's blowflies differential equations revisited: main results and open problems
• Introduction to functional differential equations
• Dynamics of a class of delayed reaction-diffusion systems with Neumann boundary condition
• Bifurcation of limit cycles at infinity in piecewise polynomial systems
• Dynamical behaviors of a food-chain model with stage structure and time delays
• Homoclinic solutions for Hamiltonian system with impulsive effects
• Exponential synchronization control of discontinuous nonautonomous networks and autonomous coupled networks
• The number and stability of limit cycles for planar piecewise linear systems of node-saddle type
• Almost periodicity analysis for a delayed Nicholson's blowflies model with nonlinear density-dependent mortality term
• Novel stability criteria on nonlinear density-dependent mortality Nicholson's blowflies systems in asymptotically almost periodic environments
• Existence and controllability for nonlinear fractional control systems with damping in Hilbert spaces
• Global dynamics of an SIRS model with demographics and transfer from infectious to susceptible on heterogeneous networks
• An efficient two grid method for miscible displacement problem approximated by mixed finite element methods
• Global large smooth solutions for 3-D Hall-magnetohydrodynamics
• Discontinuity-induced limit cycles in a general planar piecewise linear system of saddle-focus type
• New results on stability of Nicholson's blowflies equation with multiple pairs of time-varying delays
• Mackey-Glass model of hematopoiesis with monotone feedback revisited
• A note on stability of Mackey-Glass equations with two delays
• On the basins of attraction for a class of delay differential equations with non-monotone bistable nonlinearities
• Mackey-Glass equation with variable coefficients
• Existence and global attractivity of almost periodic solutions for a delayed differential neoclassical growth model
• Permanence in a class of delay differential equations with mixed monotonicity
• Global convergence to equilibria in non-monotone delay differential equations
• Global attractivity of a delayed Nicholson‐type system involving nonlinear density‐dependent mortality terms
• Global exponential convergence in a delayed almost periodic Nicholson's blowflies model with discontinuous harvesting
• Periodic orbit analysis for the delayed Filippov system
• GLOBAL EXPONENTIAL STABILITY OF ALMOST PERIODIC SOLUTIONS FOR NICHOLSON’S BLOWFLIES SYSTEM WITH NONLINEAR DENSITY-DEPENDENT MORTALITY TERMS AND PATCH STRUCTURE
• On spatial-temporal dynamics of a Fisher-KPP equation with a shifting environment
• Stability and Hopf Bifurcation of a Delayed Prey–Predator Model with Disease in the Predator
• Periodic solution and its stability of a delayed Beddington‐DeAngelis type predator‐prey system with discontinuous control strategy
• Existence of an extinction wave in the Fisher equation with a shifting habitat
• An Introduction to Delay Differential Equations with Applications to the Life Sciences

This page was built for publication: New results on global asymptotic stability for a nonlinear density-dependent mortality Nicholson's blowflies model with multiple pairs of time-varying delays