Author(s): Swapnil Talele and Ravi Gor

Abstract: Mobile phone addiction is becoming a serious problem as more people spend excessive time on their devices every day. This behaviour can affect health, sleep, productivity and social life. This paper presents a mathematical model to understand how mobile phone addiction spreads and persists among students. The model employs a compartmental approach, consisting of six non-linear differential equations, to analyze these dynamics. The movement between these compartments depends on factors such as peer influence, awareness and personal efforts to reduce phone use. Both the local and global stability of the model are investigated. Additionally, the next-generation matrix technique is utilized to perform an in-depth analysis based on the reproduction number , which is calculated using Python. Empirical data was gathered through a structured questionnaire distributed to students across various colleges, focusing on phone usage patterns, addictive behaviours and awareness levels. Several numerical simulations are conducted to illustrate the findings, highlighting the impact of various parameters on Mobile phone dynamics and the effectiveness of intervention strategies.

Pages: 98-110 | Views: 26 | Downloads: 5

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