Explicit solution of a Lotka-Sharpe-McKendrick system involving neutral delay differential equations using the \(r\)-Lambert \(W\) function

DOI10.3934/mbe.2020306zbMath1470.92245OpenAlexW3081339440WikidataQ101116909 ScholiaQ101116909MaRDI QIDQ2047840

Cristeta U. Jamilla, Renier G. Mendoza, Victoria May P. Mendoza

Publication date: 4 August 2021

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

Full work available at URL: https://doi.org/10.3934/mbe.2020306

zbMATH Keywords

explicit solutionneutral delay differential equationage-structured population model\(r\)-Lambert \(W\) functioninsect population modelLotka-Sharpe-McKendrick system

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (4)

Analytical solutions of linear delay-differential equations with Dirac delta function inputs using the Laplace transform ⋮ Analytic solutions of linear neutral and non-neutral delay differential equations using the Laplace transform method: featuring higher order poles and resonance ⋮ Generalized Lambert functions in \(\gamma\)-Ricker population models with a Holling type II per-capita birth function ⋮ Generalized r-Lambert Function in the Analysis of Fixed Points and Bifurcations of Homographic 2-Ricker Maps

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