Global Stabilization of a Single-Species Ecosystem with Markovian Jumping under Neumann Boundary Value via Laplacian Semigroup
Keyword(s):
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.
Keyword(s):
Layered stable equilibria of a reaction–diffusion equation with nonlinear Neumann boundary condition
2008 ◽
Vol 347
(1)
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pp. 123-135
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2008 ◽
Vol 48
(11)
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pp. 2077-2080
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2012 ◽
Vol 29
(3)
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pp. 778-798
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