Abstract
The evolution of mobile devices technology has no longer novelty but the usage of the device has been different from persons to persons with variety of purposes. Due to their compatibility in size and portability, the smart devices are prone to attack. Once a single node of the mobile network is attacked, it can compromise the entire network. In this paper, a study of malware attacking behavior is done and used fractional discrete model to analysis the attacking and spreading behavior of possible malware in mobile environment is examined. The mobile malware propagation model is analyzed, and investigated using the stability theory and also proposed a model S (Susceptible state), L (Latent state) and B (Breaking state). Here, basic reproductive number helps to analysis the malware propagation which helps us to find the threshold values. If the reproduction number is less than one, then the malware free equilibrium state is locally asymptotically stable. Endemic equilibrium state is globally asymptotically stable if reproductive number greater than one. Numerical illustrations assure the consistency of the theoretical analysis and interesting dynamical behavior of the system is observed.
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