Harmonic Oscillators of Mathematical Biology: Many Faces of a Predator-Prey Model

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چکیده

We show that a number of models in virus dynamics, epidemiology and plant biology can be presented as ``damped" versions the Lotka-Volterra predator-prey model, by analogy to damped harmonic oscillator. The deepens with use Lyapunov functions, which allow us characterize their dynamics even make some estimates.

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ژورنال

عنوان ژورنال: Mathematics Magazine

سال: 2022

ISSN: ['1930-0980', '0025-570X']

DOI: https://doi.org/10.1080/0025570x.2022.2055424