Article 4319

Title of the article

FUZZY DIFFERENTIAL SYSTEMS AND THEIR APPLICATION FOR MATHEMATICAL MODELING IN ECOLOGY 

Authors

Butusov Oleg Borisovich, doctor of physical and mathematical sciences, professor, sub-department of mathematics, Moscow Polytechnic University (107023, 38 B. Semenovskaya street, Moscow, Russia), E-mail: butusov-1@mail.ru
Dikusar Vasily Vasilevich, doсtor of physical and mathematical sciences, professor, sub-department of higher mathematics, Moscow Institute of Physics and Technology (141701, 9 Institutsky lane, Dolgoprudny, Russia), E-mail: dikussar@yandex.ru
Redikul'tseva Nina Ivanovna, candidate of technical sciences, associate professor, sub-department of applied mathematics, Moscow Humanitarian University (111395, 5 Yunosty street, Moscow, Russia), E-mail: redik_ni@mail.ru 

Index UDK

519.718.2 

DOI

10.21685/2307-4205-2019-3-4 

Abstract

Fuzzy differential systems (FDS) are systems for which modelling fuzzy differential equations (FDE) are used. The development and practical application of mathematical models of FDS is an important and urgent practical task, since it is caused by the need for mathematical description of systems with unknown or poorly defined parameters. The main goal of the work: the development and application of the theory of FDS to solve environmental problems. Private objective: based on the Verhulst logistic model, develop a fuzzy differential model of forest biomass dynamics using the concept of virtual negative biomass flow, which can be used to model forest degradation processes under the influence of anthropogenic (including technogenic) factors. 

Key words

fuzzy derivative, fuzzy differential equations, modified Verhulst equation, virtual negative biomass flow, interval arithmetic, environmental systems quality, environmental monitoring 

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Дата создания: 01.11.2019 12:56
Дата обновления: 01.11.2019 13:28