Global Stability for a Semidiscrete Logistic System with Feedback Control
Keyword(s):
In this paper, a semidiscrete logistic model with the Dirichlet boundary conditions and feedback controls is proposed. By means of the sub- and supper-solution method and eigenvalue theory, the unique positive equilibrium is proved. By constructing a suitable Lyapunov function, the global asymptomatic stability of the unique positive equilibrium is investigated. Finally, numerical simulations are presented to verify the effectiveness of the main results.
1987 ◽
Vol 66
(3)
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pp. 340-390
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2002 ◽
Vol 186
(2)
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pp. 377-393
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2003 ◽
Vol 2003
(43)
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pp. 2735-2746
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