The Stability Analysis of a Computer Virus Epidemic Model at disease-free equilibrium

Assumptions of the model

Authors

  • PHILIP OCHI PRIVATE
  • Agada A. A. SKYLINE UNIVERSITY, NIGERIA
  • Udonsa Aniefiok Ezekiel Department of Mathematics, Federal College of Education, Yola, P.M.B 2024, Yola, Nigeria
  • Jeremiah Timothy Department of Mathematics, Federal College of Education, Yola, P.M.B 2024, Yola, Nigeria
  • Timothy Ado Shamaki Umar Suleiman College of Education Gashua, Yobe State, Nigeria

DOI:

https://doi.org/10.4314/kzxge097

Keywords:

ScPcEcIcQcRcSc Model, transmission, Computer Virus, antivirus, local and global stability, treatment, basic reproduction number, simulation.

Abstract

In this study, we partitioned the population into Susceptible (Sc), Protected (Pc), Exposed (Ec), Infected (Ic), Quarantined (Qc) and recovered (Rc) individuals with their corresponding parameters. We analyzed a ScPcEcIcQcRcSc compartmental nonlinear deterministic mathematical model of Computer virus epidemic in a community with constant population. Analytical studies were carried out on the model to: investigate the existence and uniqueness of solution of the model equations and explore the basic properties of the model equations (i.e. the positivity and boundedness of solutions of the model). The basic reproductive number  that governs the disease transmission is obtained from the largest eigenvalue of the next-generation matrix. The disease-free equilibrium points of the model is computed and proved to be locally and globally asymptotically stable if  and unstable if  . Finally, we simulate the model system in MATLAB and obtained the graphical behavior of the infected compartmental variables in the model. From the simulation, we observed that the Computer virus infection was eradicated when R0 < 0while it persist in the environment when R0 > 0.

Author Biographies

  • Agada A. A., SKYLINE UNIVERSITY, NIGERIA

    DEPARTMENT OF MATHEMATICS AND LECTURER II

  • Udonsa Aniefiok Ezekiel, Department of Mathematics, Federal College of Education, Yola, P.M.B 2024, Yola, Nigeria

    DEPARTMENT OF MATHEMATICS AND PRINCIPAL LECTURER

  • Jeremiah Timothy, Department of Mathematics, Federal College of Education, Yola, P.M.B 2024, Yola, Nigeria

    DEPARTMENT OF MATHEMATICS AND LECTURER II

  • Timothy Ado Shamaki, Umar Suleiman College of Education Gashua, Yobe State, Nigeria

    MATHEMATICS OF MATHEMATICS AND LECTURER II

Downloads

Published

12/09/2024

How to Cite

The Stability Analysis of a Computer Virus Epidemic Model at disease-free equilibrium: Assumptions of the model. (2024). CaJoST, 6(3). https://doi.org/10.4314/kzxge097

Similar Articles

11-20 of 100

You may also start an advanced similarity search for this article.