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Vietnam
Journal of Mathematics 39:1 (2011) 105-123
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On the Asymptotic Behavior of Solutions and
Positive Almost Periodic Solution
for Predator-Prey System with the Holling Type II
Functional Response
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Trinh Tuan Anh and
Tong Thanh Trung
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Abstract. In this paper, we investigate a predator-prey population which is
modeled by a system of differential equations modified
Leslie-Gower and Holling type II schemes with time-dependent parameters. We
establish a sufficient condition posed on the behavior at
infinity of coefficients for globally asymptotic stability
of solutions. The existence and uniqueness of positive bounded solution of
system are also proved. In the case where the coefficients of equations are almost periodic functions, it is showed that
there exists a unique positive almost periodic solution which attracts
every solution starting in  .
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2000 Mathematics
Subject Classification: 92D25, 93A30, 93D99.
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Keywords: Predator-prey system; Globally
asymptotically stable; Positive bounded solution; Periodic solu-tion;
Almost periodic solution, Functional response.
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