Novi indikatori stabilnosti za empirijske trofičke mreže

Abstract

Ova doktorska disertacija uvodi nov pristup ispitivanju stabilnosti dinamičkih sistema, korišćenjem teorije pseudospektra. Na taj način se postojeći pojam stabilnosti profinjuje pojmom robusne stabilnosti, koji mnogo adekvatnije opisuje realnu ekološku stabilnost. Razvijen je nov matematički alat za izračunavanje indikatora stabilnosti, koji je zatim ilustrovan na primeru dva ekosistema tla, sa po četiri uzorka, u četiri različita stadijuma razvoja.

This doctoral dissertation establishes a novel approach to the stability analysis of dynamical systems, in terms of matrix pseudospectrum. In that manner, the existing concept of stability has undergone essential refinement so as to give birth to the concept of robust stability, which has the ability to capture the ecological stability at a more adequate level. Additionally, within the framework of the dissertation, a new mathematical tool for the stability indicators computation has been developed, which has then been used to illustrate theoretical results in form of two soil ecosystems, each of them sampled four times, all of them observed in four distinct stages of evolution.