Numerical Study of Computer Virus Reaction Diffusion Epidemic Model

Umbreen Fatima; Dumitru Baleanu; Nauman Ahmed; Shumaila Azam; Ali Raza; Muhammad Rafiq; Muhammad Rehman

doi:10.32604/cmc.2021.012666

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Numerical Study of Computer Virus Reaction Diffusion Epidemic Model

Umbreen Fatima¹, Dumitru Baleanu^2,3,4, Nauman Ahmed^5,8, Shumaila Azam⁵, Ali Raza^6,*, Muhammad Rafiq⁷, Muhammad Aziz-ur Rehman⁸
1 Department of Computer Science, The University of Lahore, Lahore, Pakistan
2 Department of Mathematics, Cankaya University, Ankara, Turkey
3 Institute of Space Sciences, Magurele-Bucharest, Romania
4 Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan
5 Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan
6 Department of Mathematics, National College of Business Administration and Economics Lahore, Lahore, Pakistan
7 Faculty of Engineering, University of Central Punjab, Lahore, Pakistan
8 Department of Mathematics, University of Management and Technology, Lahore, Pakistan
* Corresponding Author: Ali Raza. Email:

Computers, Materials & Continua 2021, 66(3), 3183-3194. https://doi.org/10.32604/cmc.2021.012666

Received 14 July 2020; Accepted 16 July 2020; Issue published 28 December 2020

Abstract

Reaction–diffusion systems are mathematical models which link to several physical phenomena. The most common is the change in space and time of the meditation of one or more materials. Reaction–diffusion modeling is a substantial role in the modeling of computer propagation like infectious diseases. We investigated the transmission dynamics of the computer virus in which connected to each other through network globally. The current study devoted to the structure-preserving analysis of the computer propagation model. This manuscript is devoted to finding the numerical investigation of the reaction–diffusion computer virus epidemic model with the help of a reliable technique. The designed technique is finite difference scheme which sustains the important physical behavior of continuous model like the positivity of the dependent variables, the stability of the equilibria. The theoretical analysis of the proposed method like the positivity of the approximation, stability, and consistency is discussed in detail. A numerical example of simulations yields the authentication of the theoretical results of the designed technique.

Keywords

Computer virus dynamics; reaction–diffusion system; positive solution; simulations

Cite This Article

U. Fatima, D. Baleanu, N. Ahmed, S. Azam, A. Raza et al., "Numerical study of computer virus reaction diffusion epidemic model," Computers, Materials & Continua, vol. 66, no.3, pp. 3183–3194, 2021.

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