Global Stabilization of a Single-Species Ecosystem with Markovian Jumping under Neumann Boundary Value via Laplacian Semigroup

By applying impulsive control, this work investigated the global stabilization of a single-species ecosystem with Markovian jumping, time delay and Neumann boundary condition. Variational methods, fixed-point theorem, Laplacian semigroup theory were employed to derive unique existence stable equilibrium point, which is positive number. Numerical examples illuminate feasibility proposed methods.