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Fundamentals of the theory of modeling the biosphere and its ecosystems

2012. №3, Стр. 104-113

Lankin Yuliy P. - Ph.D. (Enginereng), Krasnoyarsk Scientific Centre Russian Academy of Sciences, Siberian Branch, lan7@mail.ru

Ivanova Natalya S. - Ph.D. (Agricultury), Institute Botanic Garden, Russian Academy of Sciences, Ural Branch, i.n.s@bk.ru

Baskanova Tatjana F. - Senior Lecturer, Siberian Federal University, tfbask@mail.ru

Difficulties of formalizing the description of such complex natural systems as the biosphere and its ecosystems are discussed. The existing problems of mathematical ecology are considered. Generality of the properties of ecosystems is demonstrated on the basis of the fundamental properties of living systems: attractiveness, adaptability, fractality, and network organization. Examples of the mathematical methods for modeling ecosystems on the basis of the Concept of Adaptive Self-Organization of Complex Systems are given. Similarity of the mathematical structures of the models of adaptive networks and the structure of interconnected networks of organisms, species, and processes and cycles in ecosystems is demonstrated. A wide range of possibilities of the self-organizing adaptive networks that reflect substrate, energy, and information aspects of organization of complex natural systems is revealed.

Ключевые слова: Ecology, Ecosystems, Biosphere, Mathematical modeling, Concept of adaptive self-organization, Networks, Fractals, Chaos, Complex systems, Prediction

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