SIRS Model and Stability Based on Open Cyber Ecosystem

For an open cyber ecosystem, elements and system will face the complexity and uncertainty to satisfy collective security defense. In the paper, a novel susceptible-infected-removed-susceptible (SIRS) model is proposed based on an open cyber ecosystem. Specifically, the factors of node increasing and decreasing are introduced to the traditional SIRS model, and system dynamics equations are derived. Via a Routh-Hurwitz stability criterion, the stability conditions and requirements are further analyzed. Theoretical analysis and simulations results show that SIRS epidemic spreading in an open cyber ecosystem can be well controlled by modulating the number of nodes in case of node increasing and decreasing.