Application Backstepping Method for Stabilizing and Solving Delayed Lotaka-Volterra with A Dynamical Graph

The primary goal of this work is to introduce dynamic graphs. Specifically, it will demonstrate that the matrix is the basic matrix of interconnections (adjacency). It functions to explain a particular graph D's nominal structure based on the presumption that graph D's lines' functional dependence that is, the matrix E's elements (edges) are arranged so, that equation. It can be obtained by two scalar equations and described the evolution of the dynamic matrix E over time. To transform nonlinear differential equations derived from delay differential equations (DDEs) to linear differential equations, the purpose of using a dynamical graph. With this method, we applied on the biological problem of Lotaka-Volterra delay to studying stability by the backstepping method to delay differential equation (DDE) system to investigate stability on the impact of unsure interconnections between subsystems and solve it.