The maximum amplification of perturbations in ecological systems
The maximum amplification of perturbations in ecological systems作者机构：Key Laboratory of Biologic Resources Protection andUtilization of Hubei Province Hubei University for Nationalities Enshi 445000 P. R. China School of Science Hubei University for Nationalities Enshi 445000 P. R. China School of Medical Hubei University for Nationalities Enshi 445000 P. R. China Program for Ecology and Environment Science School of Mathematics and StatisticsHuazhong University of Science and Technology Wuhan 430074 P. R. China
出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)
年 卷 期：2017年第10卷第1期
页 面：153-173页
核心收录：
学科分类：0701[理学-数学] 070101[理学-基础数学]
基 金：Hubei University for Nationalities, (MY2013B021) Key Laboratory of Biological Resources Protection and Utilization of Hubei Province, (PKLHB1331) Hubei Provincial Department of Education, (Q20141901) National Natural Science Foundation of China, NSFC, (11472111, 11561022) Natural Science Foundation of Hubei Province, (2015CFC880)
主 题：Transient dynamics perturbation reactivity amplification envelope ecolo-gical models.
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.
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