title: Analysis of a fractional-order couple model with acceleration in feelings.
abstract: A fractional-order nonlinear dynamical model of couple has been introduced. Upper bounds are obtained for a fractional-order nonlinear dynamical model. Also different from other models, a model with the order 2 α is discussed. We are expecting an acceleration in feelings; that is why we increase the order of the derivative between 1 < 2α ≤ 2. Stability analysis of the fractional-order nonlinear dynamical model of involving two persons is studied using the fractional Routh-Hurwitz criteria. By using stability analysis on fractional-order system, we obtain sufficient condition on the parameters for the locally asymptotic stability of equilibrium points. Finally, numerical simulations are presented to verify the obtained results.
authors.affiliation: Department of Mathematics, Faculty of Sciences, Gaziantep University, 27100 Gaziantep, Turkey ; Department of Mathematics, Faculty of Sciences, Ankara University, 06100 Ankara, Turkey.
authors.forename: Ilknur
authors.initials: I
authors.lastname: Koca
authors.affiliation: Department of Mathematics, Faculty of Sciences, Ankara University, 06100 Ankara, Turkey.
authors.forename: Nuri
authors.initials: N
authors.lastname: Ozalp
mesh_terms: D003198:Computer Simulation; D004644:Emotions / Q000502:physiology*; D006801:Humans; D007398:Interpersonal Relations; D008954:Models, Biological; D012919:Social Behavior