Hendy, A. S.

MacÍas-Díaz, J. E.

Sheng, Q.

Tomasiello, S.

Discrete Dynamics in Nature and Society

English

Institutional repository of Ural Federal University named after the first President of Russia B.N.Yeltsin

EditorialDiscrete Dynamics of Nonlinear Systems in Nature and SocietyJorge E. Mac-as-D-az ,1 Qin Sheng ,2 Stefania Tomasiello ,3 and Ahmed S. Hendy4,51Departamento de Matema´ticas y Fı´sica, Universidad Auto´noma de Aguascalientes, Ags. 20131, Mexico2Department of Mathematics, Baylor University, Waco, TX 76798-7328, USA3Consorzio di Ricerca Sistemi ad Agenti, Universita` degli Studi di Salerno, 84084 Fisciano, Salerno, Italy4Department of Computational Mathematics and Computer Science, Institute of Natural Sciences and Mathematics,Ural Federal University, 19 Mira St., Yekaterinburg 620002, Russia5Department of Mathematics, Faculty of Science, Benha University, Benha, 13511, EgyptCorrespondence should be addressed to Jorge E. Macı´as-Dı´az; jemacias@correo.uaa.mxReceived 9 December 2018; Accepted 10 December 2018; Published 3 January 2019Copyright © 2019 Jorge E. Macı´as-Dı´az et al. is is an open access article distributed under the Creative Commons AttributionLicense, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properlycited.Discrete nonlinear systems have become increasingly impor-tant in the past decades. To understand them, new analyticaland numerical methodologies have been proposed. Moreaccurate predictions of the solutions of systems related tophysical problems are investigated in that way. It is worth not-ing that qualitative and quantitative features of discrete non-linear modeling problems and simulation techniques haveattracted a significant amount of attention from researchersin different branches of applied sciences. is is due tothe fact that features of the solutions are crucial to ourunderstanding of many important phenomena in nature andsociety. In fact, the science and engineering communitieshave been benefited tremendously from recent progress in thearea. Interactions between the praxis and new mathematicalmethodologies have also reached a new high level.Based on the above, this special issue aims at keepingtrack of the most relevant developments in the analysis andsimulations of discrete nonlinear systems that appear innature and society. More precisely, we pay special attentionto analytical features of the solutions of the systems as wellas the analysis of interactive computational strategies. Bothdeterministic and stochastic paradigms arising from natureand society are of interest, and pertinent applications tothe resolution of realistic problems are studied. Continuousmethods are within our interest as far as they providehelpful or insightful tools for the analysis. Challenging issuespertaining to the analysis of (integer- and fractional-order)partial differential equations and underlying approximationtechniques are also of high relevance.ere are 49 research papers being received and under-gone thorough peer-reviewing processes.ere are 15 articlesaccepted and published in this special issue. ey representthe most recent developments in the fields, with applicationsto sciences and technologies.e contributions focus primar-ily on issues that include the following:(i) solvable time-inconsistent principal-agent problems;(ii) non-smooth vibration characteristics of gear pairsystems with periodic stiffness and backlash;(iii) applications of the general residual power seriesmethod to problems with variable coefficients;(iv) Laplace transformmethod for pricing American CEVStrangles option with two free boundaries;(v) Triopoly dynamic games with free or bundling mar-kets in telecommunication industry;(vi) Ising models of user behavior decision in networkrumor propagation;(vii) uniqueness of the solution for a class of differentialsystem with coupled integral boundary conditions;(viii) asymptotic properties of solutions to second-orderdifference equations of Volterra type;(ix) positive periodic solutions for generalized epidemicmodels with time-varying coefficients and delays;(x) spatial dynamics for generalized Solow growth mod-els;HindawiDiscrete Dynamics in Nature and SocietyVolume 2019, Article ID 2801806, 2 pageshttps://doi.org/10.1155/2019/28018062 Discrete Dynamics in Nature and Society(xi) uniqueness and finite-time stability of solutions fornonlinear fractional delay difference systems;(xii) evolution of electoral preferences for regimes of threepolitical parties;(xiii) hybrid ant colony optimization for dynamic multide-pot vehicle routing problem;(xiv) optimal control strategies for discrete-time smokingmodels with saturated incidence rates;(xv) mean-square stability of semi-implicit Euler methodsfor the model of technology innovation network.Conflicts of Intereste guest editors of this special issue report no potentialconflicts of interest.Jorge E. Macı´as-Dı´azQin ShengStefania TomasielloAhmed S. 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Discrete Dynamics of Nonlinear Systems in Nature and Society

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Discrete Dynamics of Nonlinear Systems in Nature and Society

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Institutional repository of Ural Federal University named after the first President of Russia B.N.Yeltsin