Iot 技術以革命性的成長速度充斥著我們的生活，它以各式各樣的設備存在於我們的生活周遭，並應用於健康智能、交通運輸、軍事以及智能城市等。Iot 利用小型裝置的無線電偵測感應周遭環境並傳輸給控制中心。然而偵測器的缺點在於易受到惡意軟件的攻擊因為它所使用的機制較為脆弱，由於它受制於電池的電量因素、頻寬以及傳播的範圍，這些短缺將使它成為眾多殭屍網路的惡意程式所攻擊的目標，如 Mirai、 Hajime和 Persirai。這些 Iot 設備的瓶頸將會大大的影響資料的整合以及設備服務的可靠性，因此我們開發及使用了具流行性傳播導向的數學模型揭示物聯網殭屍網絡的形成和傳播模式，我們的模型 SCIRD-M(Susceptible-Compromised-Infected-Recovered-Dead with maintenance) 整合了感應器的異質性以及階段維持性，並且在最後我們以數值分析及模擬的方式呈現了我的模型具有良好的成效。

IoT technology is revolutionizing our way of life at a rapid pace. It has vast practical applications including smart healthcare, transport, military, smart cities etc. IoT is powered by sensors, small devices that can detect, collect the environmental data, and propagate it to a control center using radio waves. Sensors, however, are highly prone to malware attack owing to their weak defense mechanisms. They are battery powered and thus have limited processing power, bandwidth, and communication range. These shortcomings have seen a sharp rise in IoT botnet malware such as Mirai, Hajime, and Persirai in the recent past. IoT botnets have devastating effects on data integrity and service availability. Therefore, we develop an epidemiology-based model to disclose the formation and propagation of IoT botnets. Our model, SCIRD-M (Susceptible-Compromised-Infected-Recovered-Dead with maintenance), incorporates the concepts of energy heterogeneity and periodic maintenance in sensors. A detailed mathematical analysis and numerical simulation have been provided to describe and validate the model.

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