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Frontiers in Medical Science Research, 2019, 1(3); doi: 10.25236/FMSR.2019.010303.

Application of differential equation Model in Drug Propagation


Lin Jin1, Ruige Chen2

Corresponding Author:
Lin Jin

1 School of Economics and Management, China University of Geosciences (Beijing), Haidian District, Beijing 10008, China
2 School of Mathematics and Mathematics, China University of Geosciences (Beijing), Haidian District,Beijing 100083, China


This paper mainly considers the spread of opioids.By using the qualitative theory of differential equation and bifurcation theory as well as the related theories of reaction-diffusion equation, the drug diffusion model is established. The dynamic behavior of the model is analyzed, and finally the drug transmission model is established. Observing the process of heroin addiction in healthy subjects with non-linear incidence, this model is more reasonable than the existing model with richer and more complex dynamic behaviors. After linearization of the equation, through analysis of the stability model and branches, the toxicity balance of the system will become the possibility of multiple limit cycles under different conditions. These results suggest that many changes occur during drug transmission, so drug control is not as easy to spread as might be expected. Based on the findings, we find that reducing exposure to drug users is more effective in reducing drug transmission than treating drug users. In addition, reports of treated and untreated drug users can enable people to build up defense mechanisms that reduce the number of drug users. Reducing the speed of drug diffusion can also control the spread of drugs, playing the role of setting.


The multi-linear regression analysis of the related analysis of the drug-related differential equation.

Cite This Paper

Lin Jin, Ruige Chen. Application of differential equation Model in Drug Propagation. Frontiers in Medical Science Research (2019) Vol. 1 Issue 3: 16-34. https://doi.org/10.25236/FMSR.2019.010303.


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