Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 12, Issue 3, Pages 1670-1680Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2010.10.020
Keywords
Positive coexistence; Uniqueness of positive solutions; Global attractor; Upper-lower solution method; Domino effect; Biological control
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Funding
- Korea University
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This paper considers a diffusive ratio-dependent simple food chain model. The sufficient conditions for the existence and non-existence of coexistence states are provided. In addition, this paper investigates the uniqueness of coexistence states and examines the global attractor of the time-dependent system. Moreover, in view of extinction results, the domino effect and biological control are discussed. (C) 2010 Elsevier Ltd. All rights reserved.
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