Modeling and analysis of carbon emission-absorption model associated with urbanization process of China

Xingyan Fei; Yanchuang Hou; Yuting Ding; Xingyan Fei; Yanchuang Hou; Yuting Ding

doi:10.3934/era.2023049

Electronic Research Archive

2023, Volume 31, Issue 2: 985-1003. doi: 10.3934/era.2023049

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Modeling and analysis of carbon emission-absorption model associated with urbanization process of China

College of Science, Northeast Forestry University, Harbin 150040, China

Received: 26 September 2022 Revised: 03 December 2022 Accepted: 04 December 2022 Published: 07 December 2022

The excessive emission of greenhouse gases leads to abnormal climate change. Under this background, China puts forward the dual carbon target. In this paper, we use the analytic hierarchy process to determine the important influencing factor of carbon emissions. Next, we establish a delayed differential equation model of carbon emission-absorption under the influence of China's urbanization. We analyze the existence and stability of the positive equilibrium. Finally, we determine the ranges of parameters and study the impact of urbanization on China's dual carbon target through numerical simulations. The numerical simulation also shows that the system may have globally asymptotically stable equilibrium. Through the simulation results, we conclude whether the dual carbon target of China can be achieved by the scheduled time and give some suggestions that could be taken to achieve this target. The projected results provide some guidance for policy adjustments and also have practical significance in protecting the ecological environment.
- dual carbon target,
- urbanization,
- delayed differential equation,
- stability analysis,
- global stability,
- analytic hierarchy process
Citation: Xingyan Fei, Yanchuang Hou, Yuting Ding. Modeling and analysis of carbon emission-absorption model associated with urbanization process of China[J]. Electronic Research Archive, 2023, 31(2): 985-1003. doi: 10.3934/era.2023049

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Abstract

The excessive emission of greenhouse gases leads to abnormal climate change. Under this background, China puts forward the dual carbon target. In this paper, we use the analytic hierarchy process to determine the important influencing factor of carbon emissions. Next, we establish a delayed differential equation model of carbon emission-absorption under the influence of China's urbanization. We analyze the existence and stability of the positive equilibrium. Finally, we determine the ranges of parameters and study the impact of urbanization on China's dual carbon target through numerical simulations. The numerical simulation also shows that the system may have globally asymptotically stable equilibrium. Through the simulation results, we conclude whether the dual carbon target of China can be achieved by the scheduled time and give some suggestions that could be taken to achieve this target. The projected results provide some guidance for policy adjustments and also have practical significance in protecting the ecological environment.

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