Fuzzy epidemic model for the transmission of worms in computer network |
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Authors: | Bimal Kumar Mishra Samir Kumar Pandey |
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Institution: | 1. Department of Applied Mathematics, Birla Institute of Technology, Mesra, Ranchi, 835215, India;2. Department of Applied Mathematics, Ramchandra Chandravansi Institute of Technology, Bishrampur, Palamau, 822124, India |
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Abstract: | An e-epidemic SIRS (susceptible–infectious–recovered–susceptible) model for the fuzzy transmission of worms in computer network is formulated. We have analyzed the comparison between classical basic reproduction number and fuzzy basic reproduction number, that is, when both coincide and when both differ. The three cases of epidemic control strategies of worms in the computer network–low, medium, and, high–are analyzed, which may help us to understand the attacking behavior and also may lead to control of worms. Numerical methods are employed to solve and simulate the system of equations developed. |
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