Discrete or distributed delay? Effects on stability of population growth

DOI10.3934/MBE.2016.13.19zbMath1329.34127OpenAlexW2441799463WikidataQ50733096 ScholiaQ50733096MaRDI QIDQ746538

Dimitri Breda, Edoardo Beretta

Publication date: 16 October 2015

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2016.13.19

zbMATH Keywords

maturation delaygamma distributionpopulation growthstability switches\(\delta\)-Dirac distributionlocal asymptotic stability analysis

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Stationary solutions of functional-differential equations (34K21)

Related Items (6)

Pseudospectral Discretization of Nonlinear Delay Equations: New Prospects for Numerical Bifurcation Analysis ⋮ Time delays, population, and economic development ⋮ Bifurcations in a diffusive resource-consumer model with distributed memory ⋮ Hopf bifurcation, stability switches and chaos in a prey-predator system with three stage structure and two time delays ⋮ How fast is the linear chain trick? A rigorous analysis in the context of behavioral epidemiology ⋮ Equations with infinite delay: numerical bifurcation analysis via pseudospectral discretization

Cites Work

• Bifurcation analysis in single-species population model with delay
• Bifurcation analysis of a population model and the resulting SIS epidemic model with delay
• Geometric Stability Switch Criteria in Delay Differential Systems with Delay Dependent Parameters
• Stability of Linear Delay Differential Equations
• Pseudospectral Differencing Methods for Characteristic Roots of Delay Differential Equations
• An Introduction to Delay Differential Equations with Applications to the Life Sciences
• Interaction of maturation delay and nonlinear birth in population and epidemic models

This page was built for publication: Discrete or distributed delay? Effects on stability of population growth