Dynamic analysis of reaction-diffusion dual carbon model considering economic development in China

Yanchuang Hou; Chunyue Wei; Yuting Ding; Yanchuang Hou; Chunyue Wei; Yuting Ding

doi:10.3934/era.2023126

Electronic Research Archive

2023, Volume 31, Issue 5: 2483-2500. doi: 10.3934/era.2023126

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Research article

Dynamic analysis of reaction-diffusion dual carbon model considering economic development in China

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

Received: 27 December 2022 Revised: 16 February 2023 Accepted: 22 February 2023 Published: 03 March 2023

In this paper, a reaction-diffusion dual carbon model associated with Dirichlet boundary condition is proposed under the influence of economic development in China. First, we enumerate and analyse some influencing factors of carbon emission and carbon absorption, and select economic development as the influence factor of carbon emission. Second, we establish a model associated with dual carbon and analyse the existence and stability of equilibrium and the existence of bifurcations. Finally, we analyse and predict for the value of parameters. Numerical simulations are presented to support our theory results. Combined with theoretical analysis and numerical simulations, we obtain that China can achieve carbon peak before 2030. If we want to achieve carbon neutral before 2060, it requires efforts from all of parts of society. Therefore, we put forward some practical suggestions to achieve carbon neutrality and carbon peak on schedule in China for the next few decades.
- carbon emission,
- carbon absorption,
- economic development,
- diffusion,
- stability
Citation: Yanchuang Hou, Chunyue Wei, Yuting Ding. Dynamic analysis of reaction-diffusion dual carbon model considering economic development in China[J]. Electronic Research Archive, 2023, 31(5): 2483-2500. doi: 10.3934/era.2023126

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Abstract

In this paper, a reaction-diffusion dual carbon model associated with Dirichlet boundary condition is proposed under the influence of economic development in China. First, we enumerate and analyse some influencing factors of carbon emission and carbon absorption, and select economic development as the influence factor of carbon emission. Second, we establish a model associated with dual carbon and analyse the existence and stability of equilibrium and the existence of bifurcations. Finally, we analyse and predict for the value of parameters. Numerical simulations are presented to support our theory results. Combined with theoretical analysis and numerical simulations, we obtain that China can achieve carbon peak before 2030. If we want to achieve carbon neutral before 2060, it requires efforts from all of parts of society. Therefore, we put forward some practical suggestions to achieve carbon neutrality and carbon peak on schedule in China for the next few decades.

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