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In Collaboration with the
WSEAS
STEERING
COMMITTEE:
NIKOS
MASTORAKIS
Technical University of Sofia, Bulgaria
RONALD YAGER, Iona College, New Rochelle, NY, USA (honorary)
AMAURI CABALLERO, Florida International University, Miami, FL,
USA
GEORGE VACHTSEVANOS, Georgia Inst. of Technol., Atlanta, GA, USA
ROBERT FINKEL, Physics Dept., St. John's University, USA
DEMETRIOS KAZAKOS, Texas Southern University, USA
THEODORE TRAFALIS, University of Oklahoma, USA
TAKIS KASPARIS, University of Central Florida, USA
ZHIQIANG GAO, Cleveland State University, Cleveland, OH, USA
YAN WU, Georgia Southern University, Statesboro, GA, USA
SPYROS TRAGOUDAS, Southern Illinois University Carbondale,
IL, USA
ARKADY KHOLODENKO, Clemson University, USA
GREGORY BAKER, Ohio State Univ, Columbus, Ohio, USA
GALIGEKERE DATTATREYA, University of Texas at Dallas, TX, USA
CAROLINE SWEEZY, New Mexico State University, USA
ASAD SALEM, Texas A&M University- Corpus Christi, USA
DIAN ZHOU, The University of Texas at Dallas, USA
METIN DEMIRALP, Istanbul Technical University, TURKEY
OLGA MARTIN, University Politehnica of Bucharest, ROMANIA
PANOS PARDALOS, University of Florida, USA
CONSTANTIN UDRISTE, University Politehnica of Bucharest, ROMANIA
KLEANTHIS PSARRIS, The University of Texas at San Antonio, TX, USA
ANDREW D. JONES, Florida A&M University, Tallahassee, FL, USA
VALERI MLADENOV, Technical University of Sofia, BULGARIA
NERI F., University of Piemonte Orientale, Alessandria, ITALY
CHEN S. Y., Zhejiang University of Technology, P. R. CHINA
SHYI-MING CHEN, Nat.Taiwan Univ. of Science & Techn, Taipei,
R.O.C.
YEN K., Florida International University, Miami, FL, USA
RONG-JYUE FANG, Southern Taiwan University of Technology, TAIWAN
ARGYRIOS VARONIDES, University of Scranton, USA
NIKOLAI KOBASKO, R&D of �IQ Technologies Inc�, Akron, Ohio, USA
XU ANPING, Hebei University of Technology, Tianjin 300130, P. R. CHINA
ZHU H., Hiroshima Kokusai Gakuin University, JAPAN
PROGRAM COMMITTEE:
Hans
Fernlund, UNITED STATES
Paolo Di Giamberardino, ITALY
Vincenzo Di Lecce, ITALY
Anne-Marie Di Sciullo, CANADA
Zeljko Djurovic, SERBIA
Valentin Dogaru Ulieru, ROMANIA
Tomas Dostal, CZECH REPUBLIC
Maitreyee Dutta, INDIA
Karl Edelmoser, AUSTRIA
Erki Eessaar, ESTONIA
Karim El Guemhioui, CANADA
Hamed Elsimary, EGYPT
Ehsan Esfandiary, IRAN
Mehrez Essafi, TUNISIA
Tchier Fairouz, SAUDI ARABIA
Qi Feng, CHINA
Marta Fernandez, SPAIN
Franco Frattolillo, ITALY
Juan Frausto-Solis, MEXICO
Richard Gallery, IRELAND
Gao Gang-yi, CHINA
Gloria Garc�a, SPAIN
Ahmad Ghanbari, IRAN
Baluta Gheorghe, ROMANIA
Ryszard Golanski, POLAND
Alexander Grebennikov, MEXICO
Andrea Guerriero, ITALY
Oscar Gustafsson, SWEDEN
Ofer Hadar, ISRAEL
James Haralambides, UNITED STATES
Suhono Harso Supangkat, INDONESIA
Hafiz Md. Hasan Babu, BANGLADESH
Iraj Hassanzadeh, IRAN
Mohsen Hayati, IRAN
Maria Ines Herrero Platero, SPAIN
Tzung-Pei Hong, TAIWAN
Kuo-Hung Hou, TAIWAN
Michel Houtermans, NETHERLANDS,
Chung-Yuan Huang, TAIWAN
Zhou Huiwei, CHINA
Ren-junn Hwang, TAIWAN
Giuseppe Iazeolla, ITALY
Mohamed Ibrahim, EGYPT
Hirotaka Inoue, JAPAN
Naohiro Ishii, JAPAN
Yousuf Mahbubul Islam, BANGLADESH
Juri Jatskevich, CANADA
Cheng-chang Jeng, TAIWAN
Zhang Jilong, CHINA
C. Jittawiriyanukoon, THAILAND
HJ Kadim ,UNITED KINGDOM
Rihard Karba, SLOVENIA
Stephen Karungaru, JAPAN
Victor Kasyanov, RUSSIA
Osamu Kata,i JAPAN
Demetrios Kazakos, UNITED STATES
Vladimir Kazakov, MEXICO
Ahad Kazemi, IRAN
Mohamad Khaldi, LEBANON
Peter Kokol, SLOVENIA
Samad Kolahi,NEW ZEALAND
Chorng-shiuh Koong, TAIWAN
Guennadi Kouzaev, NORWAY
Deniss Kumlander, ESTONIA
Cheng-chien Kuo, TAIWAN
Dan Lascu, ROMANIA
Mihaela Lascu, ROMANIA
Ljubomir Lazic, YUGOSLAVIA
Minh Hung Le, AUSTRALIA
Shih-kai Lee, TAIWAN
Dong-liang Lee, TAIWAN
Seongkee Lee, KOREA
Yong Woo Lee, KOREA
Huey-Ming Lee, TAIWAN
Somchai Lekcharoen, THAILAND
Sheng-Tun Li, TAIWAN
Chunshien Li, TAIWAN
Ying Li, TAIWAN
Yiming Li, TAIWAN,
Wen-Yew Liang, TAIWAN
Ioan Lie, ROMANIA
S. S. Lin, TAIWAN
Wilfred Lin, HONG KONG S.A.R.
Lily Lin, TAIWAN
Hongbo Liu, CHINA
Ismael Lopez-Juarez, MEXICO
Ye Lu, CHINA
Xiaolin Lu, CHINA
Dan Macodiyo, JAPAN
Zaigham Mahmood, UNITED KINGDOM
Bang-on Makdee, THAILAND
Mrinal Manda,l CANADA
Umar Manzoor, PAKISTAN
Marius Marcu, ROMANIA
Yulin Mei, CHINA
Elisabeth Metais, FRANCE
Liying Mi, JAPAN
Hannah Michalska, CANADA
Wasfy Mikhael, UNITED STATES
Manki Min, UNITED STATES
Huang Minhuan, CHINA
Mihai Mitrea, FRANCE
Payman Moallem, IRAN
Nermin Mohamed, EGYPT
Bouhdai Mohamed, MOROCCO
Farah Mohammadi, CANADA
S. Amirhassan Monadjemi, IRAN
Bartolomeo Montrucchio, ITALY
Eduardo Mosqueira-rey, SPAIN
FRANCEsco Muzi, ITALY
Ibtissem Nafkha, TUNISIA
Benedek Nagy, HUNGARY
Sang-Won Nam, KOREA
Hamed Nassar, EGYPT
Pavel Nevriva, CZECH REPUBLIC
Cat Ho Nguyen, VIETNAM
Elena Niculescu, ROMANIA
Vincenzo Niola, ITALY
Javad Nourinia, IRAN
Juan Jesus Ocampo-Hidalgo, MEXICO
Koji Ohashi, JAPAN
Roland Olsson, NORWAY
Igor Ozimek, SLOVENIA
Ant�nio Pacheco, PORTUGAL
Zeljko Panian, CROATIA (HRVATSKA)
Eunkwang Park ,SINGAPORE
Jin Park, UNITED STATES
Federico Perez, SPAIN
Anna Perez, VENEZUELA
Sakthivel Periyasamy, INDIA
Pisit Phokharatkul, THAILAND
Olivier Ponsini, FRANCE
Mircea Popa, ROMANIA
Dan Popescu, ROMANIA
Mihaela Popescu, ROMANIA
Nenad Popovich NEW ZEALAND
Ali Pouyan, IRAN
Marius Preda, FRANCE
Sorapak Pukdesri, THAILAND
Mohammadreza Rafiei, IRAN
Dejan Rancic, YUGOSLAVIA
Nicolas Ratier, FRANCE
Rabin Raut, CANADA
Fuji Ren, JAPAN
Dimitrios Rigas, UNITED KINGDOM
Addison Rios-Bolivar, VENEZUELA
Francklin Rivas, VENEZUELA
Mercedes Ruiz, SPAIN
Jean Saade, LEBANON
Raafat Saade, CANADA
Mohammad Ali Sadrnia, IRAN
Ma Sadrnia, IRAN
Iwata Sakagami, JAPAN
Bouhouche Salah, ALGERIA
Enrique San Mill�n, SPAIN
Usiel Sandler, ISRAEL
Oscar SanJuan, SPAIN
Michael Schwarz, GERMANY
Milos Seda, CZECH REPUBLIC
Tsang-Ling Sheu, TAIWAN
Chao-Cheng Shih, TAIWAN
Khalil Shihab, OMAN
YUE Shihong, CHINA
JeongYon Shim, KOREA
Young-chul Shim, KOREA
Jungpil Shin, JAPAN
Vairis Shtrauss, LATVIA
Carmen Simion, ROMANIA
Dharmender Singh Kushwaha, INDIA
Efstratios Skafidas, AUSTRALIA
Suripon Somkuarnpanit, THAILAND
Hua Song, CHINA
Arnd Steinmetz, GERMANY
Rodica Stoian, ROMANIA
Mu-Chun Su, TAIWAN
Pushpa Suri, INDIA
Miroslav Sv�tek, CZECH REPUBLIC
Feruglio Sylvain, FREANCE
Sabin Tabirca, IRELAND
Razvan Tanasie, ROMANIA
Shaohua Tang, CHINA
Wang Tao, CHINA
Stanislaw Tarasiewicz, CANADA
Domenico Tegolo, ITALY
Kah leng Ter, SINGAPORE
Spyros Tragoudas, UNITED STATES
Issa Traore, CANADA
Tsung-Han Tsai, TAIWAN
Ruey-Chyn Tsaur, TAIWAN
Shian-Shyong Tseng, TAIWAN
John Tsiligaridis, UNITED STATES
Kazuhiko Tsuda, JAPAN
Hassan Ugail, UNITED KINGDOM
Hans Vandierendonck, BELGIUM
Francisco Vasques, PORTUGAL
Carlos Velez, COLOMBIA
Fernando Vidal, SPAIN
Luige Vladareanu, ROMANIA
Mirela-Catrinel Voicu, ROMANIA
Toshio Wakabayashi, JAPAN
Shuming Wang, TAIWAN
Yi-shun Wang, TAIWAN
Ruye Wang, UNITED STATES
Lin Wilfred, HONG KONG S.A.R.
Lai Wuxing, CHINA
Tianbing Xia, AUSTRALIA
Weiwen Xu, FRANCE
Koichi Yamada, JAPAN
Kiyotaka Yamamura, JAPAN
Thomas Yang, UNITED STATES
Hung-Jen Yang, TAIWAN
Sheng-Yuan Yang, TAIWAN
Kapseung Yang, KOREA
Shun-Ren Yang, TAIWAN
Hung-Jen Yang, TAIWAN
Ping-Jer Yeh, TAIWAN
Jyh-Yeh, UNITED STATES
Hsu-Chun Yen, TAIWAN
Eng-Thiam Yeoh, MALAYSIA
Huifen Ying, CHINA
Tetsuya Yoshida, JAPAN
Enhai Yu, CHINA
Jian Yu ,CHINA
Eugen Zaharescu, ROMANIA
Nadia Zanzouri, TUNISIA
Daniel Zapico, SPAIN
Malika Zazi, MOROCCO
Wenyu Zhang, CHINA
Hong Zheng, CHINA
Hong Zhu, UNITED KINGDOM
Blaz Zmazek, SLOVENIA
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Plenary
Lecture
Green Economy, Sustainable Growth Theory and Demographic Dynamics: A Modern
Theoretical Approach
Professor Massimiliano Ferrara
University Mediterranea of Reggio Calabria
Dept. SSGES
Italy
E-mail: massimiliano.ferrara@unirc.it
Abstract: The traditional neoclassical model of economic growth, first
developed by Solow (1956) and Swan (1956), who independently proposed similar
one-sector models, provides a theoretical framework for understanding world-wide
growth of output and the persistence of geographical differences in per capita
output. The key concept of this model, famously known as the Solow-Swan model,
is the neoclassical form of production function with declining returns to
capital combined with a fixed saving rate. On the basis of these assumptions, an
economy, regardless of its starting point, converges to a balanced growth path,
where long-run growth of output and capital are determined solely by the rate of
labor-augmenting technological progress and the rate of population growth (see,
for example, Barro and Sala-i-Martin, 1995). Ferrara and Guerrini (2008) have
analyzed the role of a variable population growth rate within the Solow-Swan
model by assuming a logistic-type population growth law. Within this set up, the
model is proved to have a unique equilibrium, which is globally asymptotically
stable. As well, its solution is shown to have a closed-form expression via
Hypergeometric functions. As is typical in the neoclassical model, the human
population size is assumed to be equal to the labor force. An assumption of that
model, however, is that the growth rate of population is constant, yielding an
exponential behavior of population size over time. Clearly, this type of time
behavior is unrealistic and, more importantly, unsustainable in the very
long-run. A more realistic approach would be to consider a logistic law for the
population growth rate.Brock and Taylor (2004) have demonstrated that the Solow-Swan
model and the environmental Kuznets curve (hereafter EKC) are intimately related
(for the EKC, see, for example, Grossman and Krueger, 1995). Amending the Solow-Swan
model to incorporate technological progress in abatement, the EKC is a necessary
by-product of convergence to a sustainable growth path. The resulting model,
which they called the Green-Solow model, generates an EKC relationship between
the flow of pollution emissions and income per capita, and the stock of
environmental quality and income per capita.
The main objective of this paper is to combine within the same framework these
two different research lines that have been analyzed separately in the recent
past. The two research lines we aim at joining together are, respectively, the
one studying the effects of including emissions, abatement and a stock of
pollution in the Solow-Swan model (Brock and Taylor, 2004), and that analyzing
the role of a variable population growth rate within the Solow-Swan model
(Ferrara and Guerrini, 2008). Within this framework, the economy is described by
a three dimensional dynamical system, whose solution can be explicitly
determined, and proved to be convergent in the long-run. Finally, we prove that
sustainable growth occurs if technological progress in abatement is faster than
technological progress in production. An EKC may result along the transition to
the balanced growth path.
Brief Biography of the Speaker:
MASSIMILIANO FERRARA, was born in Pisa (Italy) on June 8, 1972. He graduated cum
laude in 1995 in Economics at the University of Messina. Ph.D. (2001) with
academic honors in "Mathematical Economics and Finance". Professor in
"Mathematical Economics" since 2002. Vice-Rector of the University "Dante
Alighieri" of Reggio Calabria (Italy). Head of the Economics Degree of the
Mediterranean University of Reggio Calabria. Chief of the Chairs of Mathematical
Economics and Economic Statistics at the Faculty of Law - Economics Degree -
Mediterranean University of Reggio Calabria since 2007. Professor in the degree
course on European Economics at the Faculty of Political Science, University of
Milan, where he also is Professor of Decision Theory on the Master by title
"Marketing Intelligence and Data Analysis". Head of the Economics Degree of the
Mediterranean University of Reggio Calabria. Invited Speaker by WSEAS
Conferences (Baltimora MACMESE ’09 Morgan State University) by American
Mathematical Society (Western Michigan University, USA) and Calcutta
Mathematical Society, INDIA and Visiting Professor at the Lomonosov Moscow State
University (Department of Mathematics), at the New Jersey Institute of
Technology in NewArk (NJ) (USA), (Department of Mathematical Sciences), at the
Eotvos Lorand University of Budapest (Department of Atomic Physics, Faculty of
Sciences), at Politehnica of Bucharest (Department of Mathematics). Author of 80
publications on international journals many of them "high impact Scientific
International (ISI)" and 4 monographs. Member of Indian Academy of Mathematics
(2008- current), Member of Accademia Peloritana dei Pericolanti (2003-current),
Member of the Balkan Society of Geometers (2003- current), Member of the
Scientific SET - Advances Center for Studies on Economic Theory - (Center for
Advanced Studies Theoretical Economics) at the University of Milan Bicocca
(2005-current), Member of the Mathematical Association of America
(2007-current), Member of the SIEP (Societa italiana di Economia Pubblica)
(2008-current),. Scientific Coordinator of international projects financed by
the Ministry of Foreign Affairs: The Executive Programme of scientific and
techonological cooperation between Italy and Romania during 2006- 2008 and of
the Executive Programme of scientific and techonological cooperation between
Italy and Estonia during 2005-2007. Editor and Referee of several International
Journals. Official Reviewer of Mathematical Reviews (MathSciNet), Division of
the American Mathematical Society and Zentralblatt MATH, reviews scientific
journal published by the European Mathematical Society, the Heidelberg Academy
of Sciences and Fachinformationszentrum Karlshruhe.
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3rd
International Conference on Applied
Mathematics, Simulation, Modelling (ASM'09)
