Predator-prey approach in modeling users'data packets forwarding

摘要

In applied sciences and engineering, mathematical models based on differential equations are widely spread and very rich. They focus on analyzing variation over time of interacting populations' density by describing the dynamic of such systems for different initial conditions. We study, in this article, the dynamic of underlying interaction occurring between three network users' generated data packets traveling accommodating segment using a logistic predator-prey system, considering segment-limited buffering and computing capabilities with respect to quality of service. We performed system qualitative analysis and proved that stability could be obtained at the vicinity of model equilibrium points and that the system could undergo bifurcation at certain conditions. Furthermore, depending on parameters value and initial conditions, system exhibited complex dynamics with chaotic orbits and periodic solutions. Numerical results validated theoretical analysis and suggested prioritizing packets flow in function of available resources and adjusting queuing strategy to minimize eventual latency, avoid congestion and optimize network performance.