Stability and Hopf bifurcation of a producer-scrounger model with age-structure

DOI10.1186/s13662-016-0968-2zbMath1419.34155OpenAlexW2522193854WikidataQ59466292 ScholiaQ59466292MaRDI QIDQ1628083

Junhao Wen, Pei-xuan Weng

Publication date: 3 December 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-016-0968-2

zbMATH Keywords

stabilityage-structureHopf bifurcationuniform persistenceproducer-scrounger model

Mathematics Subject Classification ID

Production theory, theory of the firm (91B38) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Dynamical systems in optimization and economics (37N40)

Related Items (2)

On Lyapunov-type inequalities for odd order boundary value problems ⋮ Stability analysis of imitative dynamics in two-community with multiple delays

Cites Work

• Spatial population dynamics in a producer-scrounger model
• Delay differential equations: with applications in population dynamics
• Theory of functional differential equations. 2nd ed
• A structured population model and a related functional differential equation: Global attractors and uniform persistence
• Mathematical biology. Vol. 1: An introduction.
• Monotone travelling fronts in an age-structured reaction-diffusion model of a single species
• Robust persistence for semidynamical systems.
• Slow motion of internal shock layers for the Jin-Xin system in one space dimension
• Asymptotic patterns of a structured population diffusing in a two-dimensional strip
• A time-delay model of single-species growth with stage structure
• Monotone wave-fronts in a structured population model with distributed maturation delay
• Asymptotic speed of propagation of wave fronts in a lattice delay differential equation with global interaction
• A reaction–diffusion model for a single species with age structure. I Travelling wavefronts on unbounded domains
• Wavefronts and global stability in a time-delayed population model with stage structure
• A nonlocal reaction-diffusion model for a single species with stage structure and distributed maturation delay
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