Research on a 3D Predator-Prey Evolutionary System in Real Estate Market
This paper establishes a model on the upstream and downstream relationship among private enterprises, provincial and local officials, and the central government in the real estate market using the population ecology theory of mutual relations among individual species from the perspective of business...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/6154940 |
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| _version_ | 1832559081637806080 |
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| author | Yujing Yang Wenzhe Tang |
| author_facet | Yujing Yang Wenzhe Tang |
| author_sort | Yujing Yang |
| collection | DOAJ |
| description | This paper establishes a model on the upstream and downstream relationship among private enterprises, provincial and local officials, and the central government in the real estate market using the population ecology theory of mutual relations among individual species from the perspective of business ecosystem. A dynamic model is introduced and the complex dynamical behaviors of such a predator-prey model are investigated by means of numerical simulation. The local stability conditions and complex dynamics are investigated, and the existence of chaos is discussed in the sense of Marotto theorem; bifurcation diagrams, Lyapunov exponents, sensitivity analysis for initial values, and time history figure of the system are mapped out and discussed. This shows that there are two routes to complicated dynamics, one of which is the cascade of flip bifurcations resulting in periodic cycles (and chaos), and the other one is Neimark-Sacker bifurcation which produces attractive invariant closed curves. We arrive at conclusions that the phenomenon of chaos is harmful to private enterprises, and unstable behavior is often unfavorable. Thus, linear feedback control is applied to drive the model to a stable state when the system exhibits chaotic behaviors, achieving the goal of eliminating the negative effects to a large extent. |
| format | Article |
| id | doaj-art-7b52dfd768914079b1a1b5185416c012 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-7b52dfd768914079b1a1b5185416c0122025-02-03T01:30:54ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/61549406154940Research on a 3D Predator-Prey Evolutionary System in Real Estate MarketYujing Yang0Wenzhe Tang1Institute of Project Management and Construction Technology, Tsinghua University, Beijing, ChinaInstitute of Project Management and Construction Technology, Tsinghua University, Beijing, ChinaThis paper establishes a model on the upstream and downstream relationship among private enterprises, provincial and local officials, and the central government in the real estate market using the population ecology theory of mutual relations among individual species from the perspective of business ecosystem. A dynamic model is introduced and the complex dynamical behaviors of such a predator-prey model are investigated by means of numerical simulation. The local stability conditions and complex dynamics are investigated, and the existence of chaos is discussed in the sense of Marotto theorem; bifurcation diagrams, Lyapunov exponents, sensitivity analysis for initial values, and time history figure of the system are mapped out and discussed. This shows that there are two routes to complicated dynamics, one of which is the cascade of flip bifurcations resulting in periodic cycles (and chaos), and the other one is Neimark-Sacker bifurcation which produces attractive invariant closed curves. We arrive at conclusions that the phenomenon of chaos is harmful to private enterprises, and unstable behavior is often unfavorable. Thus, linear feedback control is applied to drive the model to a stable state when the system exhibits chaotic behaviors, achieving the goal of eliminating the negative effects to a large extent.http://dx.doi.org/10.1155/2018/6154940 |
| spellingShingle | Yujing Yang Wenzhe Tang Research on a 3D Predator-Prey Evolutionary System in Real Estate Market Complexity |
| title | Research on a 3D Predator-Prey Evolutionary System in Real Estate Market |
| title_full | Research on a 3D Predator-Prey Evolutionary System in Real Estate Market |
| title_fullStr | Research on a 3D Predator-Prey Evolutionary System in Real Estate Market |
| title_full_unstemmed | Research on a 3D Predator-Prey Evolutionary System in Real Estate Market |
| title_short | Research on a 3D Predator-Prey Evolutionary System in Real Estate Market |
| title_sort | research on a 3d predator prey evolutionary system in real estate market |
| url | http://dx.doi.org/10.1155/2018/6154940 |
| work_keys_str_mv | AT yujingyang researchona3dpredatorpreyevolutionarysysteminrealestatemarket AT wenzhetang researchona3dpredatorpreyevolutionarysysteminrealestatemarket |