Dynamics of a neutral delay equation for an insect population with long larval and short adult phases

DOI10.1016/j.jde.2008.11.018zbMath1178.34101OpenAlexW1984616299MaRDI QIDQ1022943

Yang Kuang, Stephen A. Gourley

Publication date: 10 June 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: http://epubs.surrey.ac.uk/294655/1/yang5submitted.pdf

zbMATH Keywords

neutral delay equationpopulation modelglobal stabiltyinteration model

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Stability theory of functional-differential equations (34K20) Neutral functional-differential equations (34K40) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (8)

A coupled algebraic-delay differential system modeling tick-host interactive behavioural dynamics and multi-stability ⋮ Global attractivity of the predator–prey system for cotton aphid and seven-spot ladybird beetle with stage structure ⋮ State-dependent neutral delay equations from population dynamics ⋮ FOLD–HOPF BIFURCATIONS OF THE ROSE–HINDMARSH MODEL WITH TIME DELAY ⋮ A population model with birth pulses, age structure, and non-overlapping generations ⋮ Global Hopf bifurcation analysis of a Nicholson's blowflies equation of neutral type ⋮ Explicit solution of a Lotka-Sharpe-McKendrick system involving neutral delay differential equations using the \(r\)-Lambert \(W\) function ⋮ Neimark-Sacker bifurcation analysis in a discrete neutral Nicholson’s blowflies system with delay

Cites Work

• Delay differential equations: with applications in population dynamics
• A neutral equation arising from compartmental systems with pipes
• Structured population models, conservation laws, and delay equations
• Reduction of structured population models to threshold-type delay equations and functional differential equations: A case study
• Equivalent dynamics for a structured population model and a related functional differential equation
• On neutral delay logistic gause-type predator-prey systems
• On neutral-delay two-species Lotka-Volterra competitive systems
• Qualitative Analysis of One- or Two-Species Neutral Delay Population Models
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Dynamics of a neutral delay equation for an insect population with long larval and short adult phases