Abstract
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.
Highlights
Since the reform in 1978, China began to implement the system of market economy which brings the upward trend in real estate investment
According to the statistics of the National Administration of Industry and Commerce in 2018, there are altogether 97,000 real estate developers registered in the National Administration of Industry and Commerce. e total number of permanent residents in China, consisting of more than 500 million urban residents and 300 million migrant workers, is over 8.8 million. ere are more than 90,000 real estate enterprises with a permanent urban population of more than 800 million
Nonlinear characteristics exist in systems with various research directions, such as chaotic circuit [1,2,3,4,5,6,7], neural network [8,9,10,11,12,13,14,15], and image encryption [16,17,18]
Summary
Since the reform in 1978, China began to implement the system of market economy which brings the upward trend in real estate investment. Elsadany [22, 23] used three nonlinear difference equations to study the dynamic Cournot game with the characteristics of three bounded rational actors and analyzed the stability of the system. E model involved the 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. We propose a new model considering the large, medium, and small real estate enterprises for three different prey teams. A 5D predator-prey 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. Compared with literature [33] in which all real estate enterprises corresponded to a differential equation, in our proposed model, the large, medium, and small real estate enterprises correspond to three differential equations
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