Finite-time partial topology identification of stochastic multi-group models with multiple dispersal and time delay by graph theory

This paper focuses on finite-time partial topology identification of multi-group models, in which stochastic perturbation, multiple dispersal and time delay are included. Moreover, a novel finite-time partial topology identification strategy is proposed based on graph theory. Furthermore, the unknown partial topological structures are identified successfully through pinning control. Ultimately, a numerical example is provided to demonstrate the efficacy of the theoretical result.