论文标题

数学生物学的谐波振荡器:捕食者模型的许多面孔

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

论文作者

Koshkin, Sergiy, Meyers, Isaiah

论文摘要

我们表明,通过类似于抑制的谐波振荡器的比喻,可以将许多模型,流行病学和植物生物学用于Lotka-volterra Predator-Prey模型的``抑制作用''版本。

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

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