Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 188, Issue 2, Pages 205-227Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2005.04.007
Keywords
upper and lower solutions; Lyapunov functions; predator-prey system
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This paper is concerned with a predator-prey system with diffusion. The global asymptotic stability of the unique positive constant equilibrium is obtained under certain conditions. The Method used here is the upper and lower solutions combined with the monotone iteration and constructing suitable Lyapunov functions. (c) 2005 Elsevier B.V. All rights reserved.
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