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

Ruofeng Rao, Jialin Huang and Xinsong Yang
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Ruofeng Rao: Department of Mathematics, Chengdu Normal University, Chengdu 611130, China
Jialin Huang: Department of Mathematics, Sichuan Sanhe Vocational College, Luzhou 646200, China
Xinsong Yang: College of Electronics and Information Engineering, Sichuan University, Chengdu 610065, China

Mathematics, 2021, vol. 9, issue 19, 1-11

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

Keywords: a single-species ecosystem; variational methods; global stability; reaction–diffusion; Sobolev spaces (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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