Stability analysis of a dynamic cancer mathematical model with the impact of smoking and alcohol consumption

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发表日期：

2024年3月8日

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V. Suganya,
S. Padmasekaran,
S. Dickson

摘要

This paper presents the construction of a dynamic nonlinear $ SS_AS_PAIR$ $S S_{A} S_{P} A I R$ mathematical model for cancer, which is caused by smoking and drug addiction. The fundamentals of positivity and boundedness in this model have been investigated and validated. The reproduction number was calculated. It is found that Infection-free steady-state solutions that exist are asymptotically stable locally and globally when $R_0<1$ $R_{0} < 1$ . Also Infection-present steady-state solutions that are locally stable are discovered when $R_0<1$ $R_{0} < 1$ and globally when $R_0>1$ $R_{0} > 1$ . In the end, numerical data confirm our theoretical findings.