Mathematical Modeling in Economics, Ecology and the Environment
By: by Natali Hritonenko, Yuri Yatsenko
Contributors: I͡At͡senko, I͡U. P. (I͡Uriĭ Petrovich)
Series: Applied Optimization -- 34; Applied optimization -- 34.
Publisher: Springer US
Published: 1999
Place of publication: Boston, MA
Language: eng
Format: [electronic resource] /
Number of pages: 210
ISBN-13: 9781441948212; 9781441997333
Subjects: Mathematics; Mathematical optimization; Ecology; Economics; Systems theory
Description: The book covers a wide range of known models, from classical (Cobb-Douglass production function, Leontief input-output analysis, Verhulst-Pearl and Lotka-Volterra models of population dynamics, etc.) to the models of world dynamics and the models of water contamination propagation after the Chernobyl nuclear catastrophe. It uses a unique block-by-block approach to model analysis, which explains how all these models are constructed from common simple components (blocks) that describe elementary physical processes. The book provides theoretical insights to guide the design of practical models. Special attention is given to modeling of hierarchical regional economic-ecological interaction and technological change in the context of environmental impact. Mathematical topics considered include discrete and continuous models, differential and integral equations, optimization and bifurcation analysis, and related subjects. The book presents a self-contained introduction for those approaching the subject for the first time. It provides excellent material for graduate courses in mathematical modeling. Audience: Researchers, graduate and postgraduate students, and a wide mathematical audience.
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