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About this book
About this book
This book covers a wide range of topics in mathematical modelling of interlinked economic, technological and environmental processes. The main unifying theme of the book is the integration of applied mathematical models that describe and optimize the mutual impact of economy, demography, technological change, and the environment on global, regional and local levels.
Emphasis is placed on optimization methods and deterministic dynamic models that take age structures, delay effects, and non-standard decision variables into account, and the authors explicitly deal with the age structure of assets, resources, and populations under study.
The integrated interdisciplinary modelling has enormous potential for discovering new insights in global and regional development. The articles illustrate the fruitful interaction between applied mathematics, economics, demography, environment sciences, management sciences, and operations research in exploiting global and local change.
1. The genuine savings criterion and the value of population in an economy with endogenous fertility rate Kenneth J. Arrow, Alain Bensoussan, Qi Feng, and Suresh P. Sethi 2. Continuous time overlapping generations models Hippolyte d'Albis and Emmanuelle Augeraud-Veron 3. Modeling technological change in equipment replacement problems Chin Hon Tan and Joseph C. Hartman 4. Embodied technology adoption under uncertainty Bruno Cruz and Aude Pommeret 5. Viability, optimality, and sustainability in vintage models Noel Bonneuil 6. Embodied technical change and learning-by-doing in a two sector growth model with human capital accumulation Alberto Bucci, Herb Kunze and Davide La Torre 7. Age-structured optimization models in fisheries bioeconomics: a survey Olli Tahvonen 8. Age-structured models and optimal control in mathematical epidemiology: a survey David Greenhalgh 9. Optimal management of a size distributed forest with respect to timber and non-timber values Renan-Ulrich Goertz and Angels Xabadia 10. Optimal harvesting in a two-species model of size-structured population Nobuyuki Kato 11. Optimisation problems in the management of indigenous plant populations under grazing pressure Lynne McArthur, John Boland, and Fleur Tiver 12. Identification of age-structured contamination sources in ground water Sergey Lyashko, Dmitry Klyushin, Dmitry Nomirovsky, and Vladimir Semenov
Raouf Boucekkine is Professor of Economics at the Catholic University of Louvain, Belgium, and the University of Glasgow, UK. He is currently research co-director of the Center of Operation Research and Econometrics (CORE) at Louvain-la-Neuve, Belgium. Natali Hritonenko is a Professor in the Department of Mathematics at Prairie View A&M University, USA. Yuri Yatsenko is a Professor in the School of Business at Houston Baptist University, USA.