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Dynamic Analysis of a Delayed Carbon Emission-Absorption Model for China’s Urbanization and Population Growth

Author

Listed:
  • Haokun Sui

    (Department of Mathematics, Northeast Forestry University, Harbin 150040, China)

  • Leilei Han

    (Department of Mathematics, Northeast Forestry University, Harbin 150040, China)

  • Yuting Ding

    (Department of Mathematics, Northeast Forestry University, Harbin 150040, China)

Abstract

The increase of carbon emissions accelerates global warming and causes environmental problems. Therefore, research on emission peak and carbon neutrality is of broad interest. In this paper, based on the relationships among carbon emissions, carbon absorption and urban population growth, a delayed differential equations model is established. Then, we analyze the existence and stability of a positive equilibrium point of the system and substitute the data for simulations. Eventually, according to theoretical analysis and numerical simulations, some suggestions for China to achieve the goal of emission peak and carbon neutrality are given.

Suggested Citation

  • Haokun Sui & Leilei Han & Yuting Ding, 2022. "Dynamic Analysis of a Delayed Carbon Emission-Absorption Model for China’s Urbanization and Population Growth," Mathematics, MDPI, vol. 10(17), pages 1-13, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:17:p:3072-:d:897842
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    References listed on IDEAS

    as
    1. Huang, Zhehao & Dong, Hao & Jia, Shuaishuai, 2022. "Equilibrium pricing for carbon emission in response to the target of carbon emission peaking," Energy Economics, Elsevier, vol. 112(C).
    2. Liu, Huijuan & Zhang, Jia-Fang, 2019. "Dynamics of two time delays differential equation model to HIV latent infection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 384-395.
    3. Ye, Li & Yang, Deling & Dang, Yaoguo & Wang, Junjie, 2022. "An enhanced multivariable dynamic time-delay discrete grey forecasting model for predicting China's carbon emissions," Energy, Elsevier, vol. 249(C).
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