Global dynamics of Nicholson's blowflies equation revisited: onset and termination of nonlinear oscillations
DOI10.1016/j.jde.2013.06.020zbMath1301.34107OpenAlexW1989668814MaRDI QIDQ2637623
Jianhong Wu, Lin Wang, Hongying Shu
Publication date: 13 February 2014
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2013.06.020
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) Bifurcation theory of functional-differential equations (34K18)
Related Items (38)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Multiple stable periodic solutions in a model for hormonal control of the menstrual cycle
- Multiple stable periodic oscillations in a mathematical model of CTL response to HTLV-I infection
- Global attractivity of the diffusive Nicholson blowflies equation with Neumann boundary condition: A non-monotone case
- Bifurcation analysis in a delayed diffusive Nicholson's blowflies equation
- Four limit cycles for a three-dimensional competitive Lotka-Volterra system with a heteroclinic cycle
- Nicholson's blowflies differential equations revisited: main results and open problems
- Monotone semiflows generated by functional differential equations
- \(S^ 1\)-degree and global Hopf bifurcation theory of functional differential equations
- Global attractivity and periodic solutions in delay-differential equations related to models in physiology and population biology
- Theory of functional differential equations. 2nd ed
- Dirichlet problem for the diffusive Nicholson's blowflies equation
- Introduction to functional differential equations
- On Bendixson's criterion
- On the existence of rapidly oscillatory solutions in the Nicholson blowflies equation
- Global attractivity and uniform persistence in Nicholson's blowflies
- Numerical steady state and Hopf bifurcation analysis on the diffusive Nicholson's blowflies equation
- Travelling fronts in the diffusive Nicholson's blowflies equation with distributed delays
- Hopf bifurcation analysis in a delayed Nicholson blowflies equation
- Multiple limit cycles in the chemostat with variable yield
- Delay equations. Functional-, complex-, and nonlinear analysis
- On the diffusive Nicholson's blowflies equation with nonlocal delay
- Nonmonotone travelling waves in a single species reaction--diffusion equation with delay
- Population dynamic models with nonlocal delay on bounded domains and their numerical computations
- Dynamics of the diffusive Nicholson's blowflies equation with distributed delay
- Symmetric functional differential equations and neural networks with memory
- A reaction–diffusion model for a single species with age structure. I Travelling wavefronts on unbounded domains
- Asymptotic stability of travelling waves for Nicholson's blowflies equation with diffusion
- Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
This page was built for publication: Global dynamics of Nicholson's blowflies equation revisited: onset and termination of nonlinear oscillations