A fractional order nonlinear dynamical model of interpersonal relationships

被引:24
|
作者
Ozalp, N. [1 ]
Koca, I. [2 ]
机构
[1] Ankara Univ, Dept Math, Fac Sci, TR-06100 Ankara, Turkey
[2] Gaziantep Univ, Fac Sci, Dept Math, Gaziantep, Turkey
来源
ADVANCES IN DIFFERENCE EQUATIONS | 2012年
关键词
fractional model; fractional differential equations; stability; numerical solution;
D O I
10.1186/1687-1847-2012-189
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, a fractional order nonlinear dynamical model of interpersonal relationships has been introduced. The stability of equilibrium points is studied. Numerical simulations are also presented to verify the obtained results.
引用
收藏
页数:7
相关论文
共 50 条
  • [21] Dynamical analysis of fractional-order chemostat model
    Aris, Nor Afiqah Mohd
    Jamaian, Siti Suhana
    AIMS BIOPHYSICS, 2021, 8 (02): : 182 - 197
  • [22] Dynamical analysis of fractional order model of immunogenic tumors
    Arshad, Sadia
    Baleanu, Dumitru
    Huang, Jianfei
    Tang, Yifa
    Al Qurashi, Maysaa Mohamed
    ADVANCES IN MECHANICAL ENGINEERING, 2016, 8 (07): : 1 - 13
  • [23] Dynamical Analysis of a Fractional-order HIV Model
    Ye, Haiping
    Ding, Yongsheng
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2009, 49 (03): : 255 - 268
  • [24] Dynamical analysis of a fractional-order HIV model
    Department of Applied Mathematics, Donghua University, Shanghai 201620, China
    不详
    CMES Comput. Model. Eng. Sci., 2009, 3 (255-268): : 255 - 268
  • [25] Fractional-order dynamical model for electricity markets
    Dassios, Ioannis
    Kerci, Taulant
    Baleanu, Dumitru
    Milano, Federico
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (07) : 8349 - 8361
  • [26] DYNAMICAL BEHAVIOR OF FRACTIONAL ORDER SVIR EPIDEMIC MODEL
    Ahmad, Aqeel
    Javeed, Nouman
    Farman, Muhammad
    Ahmad, M. O.
    Hafeez, Amna
    Raza, Ali
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2019, 17 (02): : 260 - 274
  • [27] Model order reduction of nonlinear dynamical systems
    Brennan, C
    Condon, M
    Ivanov, R
    PROGRESS IN INDUSTRIAL MATHEMATICS AT ECMI 2004, 2006, 8 : 114 - 118
  • [28] A Technique for Studying a Class of Fractional-Order Nonlinear Dynamical Systems
    Mahmoud, Gamal M.
    Farghaly, Ahmed A. M.
    Shoreh, A. A. -H.
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2017, 27 (09):
  • [29] Controllability result of nonlinear higher order fractional damped dynamical system
    Liu, Junpeng
    Liu, Suli
    Li, Huilai
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (01): : 325 - 337
  • [30] Dynamical analysis of a fractional order eco-epidemiological model with nonlinear incidence rate and prey refuge
    Mahmoud Moustafa
    Mohd Hafiz Mohd
    Ahmad Izani Ismail
    Farah Aini Abdullah
    Journal of Applied Mathematics and Computing, 2021, 65 : 623 - 650