TY - JOUR
T1 - Study on the effect of environmental pollution based on a fractional derivative resource depletion model
AU - Lin, Zifei
AU - Xu, Wei
AU - Yue, Xiaole
AU - Han, Qun
N1 - Publisher Copyright:
© 2017 Elsevier Ltd
PY - 2017/11
Y1 - 2017/11
N2 - The effect of resource usage on economic growth has been investigated in many papers and the generic effect of resource usage efficacy by improving technical skills has been discussed. However, the impact of environmental pollution and the effect of memory property of the economic variables on economic growth have not been studied in detail. In this paper, a new resource depletion model, in which fractional derivative describes the memory property of economic variables, is built. Firstly, the influence of the environmental pollution on economic growth is analyzed. The results show the model is extreme sensitive to some parameters with considering the impact of environmental pollution. The small change of the parameters can lead a collapse of the economy in a short time. Meanwhile, new equilibrium region of economic growth can be obtained with considering the effect of the memory property of economic variables. Secondly, the effect of externally stochastic perturbation on the average of capital is studied, and the result shows random excitation can not only impede but also promote the development of the economy.
AB - The effect of resource usage on economic growth has been investigated in many papers and the generic effect of resource usage efficacy by improving technical skills has been discussed. However, the impact of environmental pollution and the effect of memory property of the economic variables on economic growth have not been studied in detail. In this paper, a new resource depletion model, in which fractional derivative describes the memory property of economic variables, is built. Firstly, the influence of the environmental pollution on economic growth is analyzed. The results show the model is extreme sensitive to some parameters with considering the impact of environmental pollution. The small change of the parameters can lead a collapse of the economy in a short time. Meanwhile, new equilibrium region of economic growth can be obtained with considering the effect of the memory property of economic variables. Secondly, the effect of externally stochastic perturbation on the average of capital is studied, and the result shows random excitation can not only impede but also promote the development of the economy.
KW - Bifurcation
KW - Externally stochastic perturbation
KW - Fractional derivative
KW - Nonlinear dynamics
KW - Resource consumption
UR - http://www.scopus.com/inward/record.url?scp=85030154852&partnerID=8YFLogxK
U2 - 10.1016/j.chaos.2017.09.019
DO - 10.1016/j.chaos.2017.09.019
M3 - 文章
AN - SCOPUS:85030154852
SN - 0960-0779
VL - 104
SP - 705
EP - 715
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
ER -
