Back to the future: a simplified and intuitive derivation of the Lotka-Euler equation Article Swipe
Related Concepts
Euler's formula
Mathematics
Lambda
Context (archaeology)
Process (computing)
Population
Applied mathematics
Computer science
Mathematical analysis
Physics
Demography
Biology
Sociology
Paleontology
Optics
Operating system
Carlos Hernández-Suárez
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YOU?
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· 2023
· Open Access
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· DOI: https://doi.org/10.48550/arxiv.2304.08317
· OA: W4366327992
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2304.08317
· OA: W4366327992
The Lotka-Euler equation is a mathematical expression used to study population dynamics and growth, particularly in the context of demography and ecology. The growth rate $λ$ is the speed at which an individual produce their offspring. It is essentially a birth process, and here it is shown that by reversing the process to a death process, in which individuals die at a rate $λ^{-1}$, the derivation of the Lotka-Euler equation becomes more intuitive and direct, both in discrete and continuous time.
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