Dynamics of the logistic equation with delay

DOI10.1134/S0001434615070093zbMath1335.34110OpenAlexW1542299752MaRDI QIDQ887478

Sergey A. Kaschenko

Publication date: 26 October 2015

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434615070093

zbMATH Keywords

periodic solutionrelaxation cycleAndronov-Hopf bifurcationHutchinson equationlogistic equation with delay

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Transformation and reduction of functional-differential equations and systems, normal forms (34K17) 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) Singular perturbations of functional-differential equations (34K26)

Related Items (4)

The impact of memory effect on time-delay logistic systems driven by a class of non-Gaussian noise ⋮ Bifurcations in the logistic equation with diffusion and delay in the boundary condition ⋮ Bifurcating Solutions and Asymptotics in Logistic Equation with State-Dependent Delays ⋮ Dynamics of a singularly perturbed system of two differential equations with delay

Cites Work

• Asymptotic analysis of the behavior of solutions to equations with large delay
• Dynamics of an equation with a large spatially distributed control parameter
• The existence of periodic solutions of \(f'(x)=-\alpha f(x-1)(1+f(x))\)
• Theory of functional differential equations. 2nd ed
• The Ginzburg-Landau equation as a normal form for a second-order difference-differential equation with a large delay
• On dichotomies for solutions of \(n\)-th order linear differential equations
• NORMALIZATION IN THE SYSTEMS WITH SMALL DIFFUSION
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