A Delayed Mathematical Model of Population Pressure on the Atmospheric Level of Carbon Dioxide Gas

Tianchen Yao

doi:10.54097/yh3jby49

Authors

Tianchen Yao

DOI:

https://doi.org/10.54097/yh3jby49

Keywords:

Carbon Dioxide Gas, Delay, Hopf Bifurcation, Mathematical Model, Population Pressure

Abstract

Effective control of carbon dioxide and methane emissions is the key to controlling global warming. For this reason, a delayed mathematical model of population pressure on the atmospheric level of carbon dioxide gas is put forward. The impact of the time lag on the model and exhibition of a Hopf bifurcation at the threshold of the time lag is analyzed in compliance with the allocation of the roots of the appropriate characteristic equation. Besides, the direction and stability of the Hopf bifurcation are determined by drawing support from the center manifold method. Eventually, computer numerical calculations are conducted to validate the correctness of our obtained analytical findings.

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