journal article·2021Open access

Numerical Study of Computer Virus Reaction Diffusion Epidemic Model

Umbreen Fatima, Dumitru Baleanu, Nauman Ahmed, Shumaila Azam, Ali Raza, Muhammad Rafiq, Muhammad Aziz-ur Rehman

Computers, Materials & Continua· Volume 66· Issue 3

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.
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Research context

OpenAlex topics: Mathematical and Theoretical Epidemiology and Ecology Models · Opinion Dynamics and Social Influence · COVID-19 epidemiological studies

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