Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics
Applications and Applied Mathematics: An International Journal (AAM)
Articles 1 - 1 of 1
Full-Text Articles in Other Life Sciences
Global Stability Of Worms In Computer Network, Bimal Kumar Mishra, Aditya Kumar Singh
Global Stability Of Worms In Computer Network, Bimal Kumar Mishra, Aditya Kumar Singh
Applications and Applied Mathematics: An International Journal (AAM)
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, …