5D Nonlinear Dynamic Evolutionary System in Real Estate Market

In this paper, we propose a new predator-prey nonlinear dynamic evolutionary model of real estate enterprises considering the large, medium, and small real estate enterprises for three different prey teams. A 5D predator-prey nonlinear dynamic evolutionary system in the real estate market is establi...

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Main Author: Jingyuan Zhang
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/6670222
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author Jingyuan Zhang
author_facet Jingyuan Zhang
author_sort Jingyuan Zhang
collection DOAJ
description In this paper, we propose a new predator-prey nonlinear dynamic evolutionary model of real estate enterprises considering the large, medium, and small real estate enterprises for three different prey teams. A 5D predator-prey nonlinear dynamic evolutionary system in the real estate market is established, where the large, medium, and small real estate enterprises correspond to three differential equations, provincial and local officials, and the central government correspond to the other two differential equations. Nonlinear dynamic analysis on a 5D predator-prey evolutionary system in the real estate market, containing the analysis of equilibrium points and stabilities, is made. The corresponding discrete system is simulated, and the simulation results about Lyapunov spectrum, bifurcation diagram, sequence diagram, and phase diagram are given. Compared with the work of Yang et al. in which all real estate enterprises corresponded to one differential equation, in our proposed model, the large, medium, and small real estate enterprises correspond to three differential equations which is more accordant with the specific circumstance of real estate companies.
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institution Kabale University
issn 1076-2787
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language English
publishDate 2021-01-01
publisher Wiley
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series Complexity
spelling doaj-art-83ae015d76144b458f4b17a9c065a2002025-08-20T03:37:11ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/667022266702225D Nonlinear Dynamic Evolutionary System in Real Estate MarketJingyuan Zhang0Business School, Hunan University, Changsha 410082, Hunan, ChinaIn this paper, we propose a new predator-prey nonlinear dynamic evolutionary model of real estate enterprises considering the large, medium, and small real estate enterprises for three different prey teams. A 5D predator-prey nonlinear dynamic evolutionary system in the real estate market is established, where the large, medium, and small real estate enterprises correspond to three differential equations, provincial and local officials, and the central government correspond to the other two differential equations. Nonlinear dynamic analysis on a 5D predator-prey evolutionary system in the real estate market, containing the analysis of equilibrium points and stabilities, is made. The corresponding discrete system is simulated, and the simulation results about Lyapunov spectrum, bifurcation diagram, sequence diagram, and phase diagram are given. Compared with the work of Yang et al. in which all real estate enterprises corresponded to one differential equation, in our proposed model, the large, medium, and small real estate enterprises correspond to three differential equations which is more accordant with the specific circumstance of real estate companies.http://dx.doi.org/10.1155/2021/6670222
spellingShingle Jingyuan Zhang
5D Nonlinear Dynamic Evolutionary System in Real Estate Market
Complexity
title 5D Nonlinear Dynamic Evolutionary System in Real Estate Market
title_full 5D Nonlinear Dynamic Evolutionary System in Real Estate Market
title_fullStr 5D Nonlinear Dynamic Evolutionary System in Real Estate Market
title_full_unstemmed 5D Nonlinear Dynamic Evolutionary System in Real Estate Market
title_short 5D Nonlinear Dynamic Evolutionary System in Real Estate Market
title_sort 5d nonlinear dynamic evolutionary system in real estate market
url http://dx.doi.org/10.1155/2021/6670222
work_keys_str_mv AT jingyuanzhang 5dnonlineardynamicevolutionarysysteminrealestatemarket