Global stability of nonresident computer virus models |
| |
| Authors: | Yoshiaki Muroya Toshikazu Kuniya |
| |
| Affiliation: | 1. Department of Mathematics, Waseda University, Tokyo 169‐8555, Japan;2. Graduate School of Mathematical Sciences, The University of Tokyo, Tokyo 153‐8914, Japan |
| |
| Abstract: | In this paper, applying Lyapunov functional techniques to nonresident computer virus models, we establish global dynamics of the model whose threshold parameter is the basic reproduction number R0 such that the virus‐free equilibrium is globally asymptotically stable when R0 ≤ 1, and the infected equilibrium is globally asymptotically stable when R0 > 1 under the same restricted condition on a parameter, which appeared in the literature on delayed susceptible‐infected‐recovered‐susceptible (SIRS) epidemic models. We use new techniques on permanence and global stability of this model for R0 > 1. Copyright © 2014 John Wiley & Sons, Ltd. |
| |
| Keywords: | computer virus model nonresident permanence global asymptotic stability Lyapunov functional |
|
|
