Journal
APPLIED MATHEMATICS LETTERS
Volume 16, Issue 7, Pages 1069-1075Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0893-9659(03)90096-6
Keywords
differential equations; Leslie-Gower; Holling-type-II; boundedness; Lyapunov function; stability
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We present a two-dimensional continuous time dynamical system modeling a predator-prey food chain, and based on a modified version of the Leslie-Gower scheme and on the Holling-type II scheme. The main result is given in terms of boundedness of solutions, existence of an attracting set and global stability of the coexisting interior equilibrium. (C) 2003 Elsevier Ltd. All rights reserved.
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