Structure of feedbacks with delay and stability of ecological systems

V. G. Il'ichev

Southern Research Center, RAS
344006 Rostov-na-Donu, ul. Chekhova, 41
e-mail: vita@mmbi.krinc.ru

A concept of heterogeneous structure of organic substances realizing feedback (or a beam of feedbacks) with delay in ecological systems is developed. Criteria of stability of biocenoses depending on properties of discrete and continuous feedback families are defined. In the latter care, there exists a global characteristics (=dispersion) of the feedbacks beam, which serves as an indicator of ecosystem stability. Examples are given for formation of the stable systems consisting of unstable subsystems.