Abstract
An attempt has been made to show the impact of non-linearity of the worms through SIRS (susceptible – infectious – recovered - susceptible) and SEIRS (susceptible – exposed – infectious – recovered - susceptible) e-epidemic models in computer network. A very general form of non-linear incidence rate has been considered satisfying the worm propagating behavior in computer network. The concavity conditions with a non-linear incidence rate and under the constant population size assumption are shown to be stable. Such systems have either a unique and stable endemic equilibrium state or no endemic equilibrium state at all; in the latter case, the worm infection-free equilibrium is stable.
Recommended Citation
Mishra, Bimal Kumar and Singh, Aditya Kumar
(2010).
Global Stability of Worms in Computer Network,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 5,
Iss.
2, Article 13.
Available at:
https://digitalcommons.pvamu.edu/aam/vol5/iss2/13
Included in
Ordinary Differential Equations and Applied Dynamics Commons, Other Life Sciences Commons