A stochastic Differential Equations Model for Lung Cancer Tumor Control and Prevention
DOI:
https://doi.org/10.24237/Keywords:
Basic reproduction number, lung cancer, stochastic differential equation, Ito's formula, Numerical simulationAbstract
In this research, we studied the dynamic behavior of lung cancer to prevent its spread. A new stochastic mathematical model was proposed for this study. To verify the validity of the proposed model, we demonstrated the existence and uniqueness of the solution to the new stochastic model. We explained the conditions that must be met for a person with cancer to be cured by establishing the stochastic basic reproduction number. If , this means that the cancer cells in the lung are spreading. On the contrary if , this means that the cancer cells are in a state of elimination and the patient is cured. We verified the validity of the results using computer simulations in MATLAB.
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