Modeling the spread of computer virus via Caputo fractional derivative and the beta-derivative

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• 作者：Ebenezer Bonyah ; Abdon Atangana…
• 关键词：Computer virus ; Caputo fractional derivative ; Beta ; derivative ; Antidotal ; Stability
• 刊名：Asia Pacific Journal on Computational Engineering
• 出版年：2017
• 出版时间：December 2017
• 年：2017
• 卷：4
• 期：1
• 全文大小：1835KB
• 刊物类别：Theoretical and Applied Mechanics; Computational Science and Engineering; Classical Continuum Physic
• 刊物主题：Theoretical and Applied Mechanics; Computational Science and Engineering; Classical and Continuum Physics; Mathematical Applications in the Physical Sciences;
• 出版者：Springer Singapore
• ISSN：2196-1166
• 卷排序：4

文摘

The concept of information science is inevitable in the human development as science and technology has become the driving force of all economics. The connection of one human being during epidemics is vital and can be studied using mathematical principles. In this study, a well-recognized model of computer virus by Piqueira et al. (J Comput Sci 1:31−34, 2005) and Piqueira and Araujo (Appl Math Comput 2(213):355−360, 2009) is investigated through the Caputo and beta-derivatives. A less detail of stability analysis was discussed on the extended model. The analytical solution of the extended model was solved via the Laplace perturbation method and the homotopy decomposition technique. The sequential summary of each of iteration method for the extend model was presented. Using the parameters in Piqueira and Araujo (Appl Math Comput 2(213):355−360, 2009), some numerical simulation results are presented.