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Discrete Dynamics in Nature and Society
Volume 2016, Article ID 1245765, 1 page

Time Delayed Equations as Models in Nature and Society

1Department of Management, Polytechnic University of Marche, 60121 Ancona, Italy
2Department of Political Science, University of Genoa, 16125 Genoa, Italy
3Department of Economics, Chuo University, 742-1 Higashi-Nakano, Hachioji, Tokyo, Japan
4Department of Economics and Management, University of Pisa, 56124 Pisa, Italy
5School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu 233030, China
6Laboratoire de Physique Statistique, Ecole Normale Supérieure, 75231 Paris, France

Received 4 April 2016; Accepted 4 April 2016

Copyright © 2016 Luca Guerrini et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Several phenomena analysed in both natural and social sciences models require the use of systems including current variables and lagged variables. The interest in retarded ordinary or partial differential equations has gained much attention recently because it has been seen that the introduction of time delays allows the capturing of more complex dynamics, thus enriching the description of the whole system. This special issue collects several manuscripts from people who work in different research fields. In total there were seventy-three submissions and only twenty-three were accepted for publication. The topics of the accepted papers range from theoretical studies to applications. In particular, there are new theoretical results on stochastics and fuzzy time delayed dynamic systems, on global stability, and on delay partial differential equations. With regard to the articles that focused on specific models, we mention here some interesting applications on disease dynamics, economic growth and business cycles, population dynamics, ecological systems, neural networks, and physics problems.


The guest editors would like to express their gratitude to all the authors and reviewers who took part in the success of this special issue.

Luca Guerrini
Luca Gori
Akio Matsumoto
Mauro Sodini
Zizhen Zhang
Carlo Bianca