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The maximum amplification of perturbations in ecological systems

The maximum amplification of perturbations in ecological systems
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摘要 Conventionally, most researches of ecologicM models focus mainly on the asymptotic stability properties near equilibria. However, transient effects can be important. It dom- inates the dynamics seen in experimental or field studies. Transient behavior near an equilibrium is measured by resilience, reactivity, the maximum amplification of a per- turbation and the time at which the maximum amplification occurs. In this paper, we demonstrate emphatically the calculation of the amplification envelope of a homoge- neous system of linear equations, then apply it to three ecological models. We conclude that transient amplification of perturbations to a stable equilibrium should be a very common ecological phenomenon, and reactive systems have huge changes around their equilibria.
出处 《International Journal of Biomathematics》 2017年第1期153-173,共21页 生物数学学报(英文版)

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