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The predator-prey model with two limit cycles

The predator-prey model with two limit cycles This paper investigates the predator-prey system: $$\begin{gathered} \dot x = k_1 (x - \alpha x) - k(x)y, \hfill \\ \dot y = ( - k_s + \beta k(x))y \hfill \\ \end{gathered}$$ with $$k(x) = \left\{ {\begin{array}{*{20}c} {k_2 x,} & {x \leqslant \tau ,} \\ {k_2 \tau ,} & {x > \tau ,} \\ \end{array} } \right.$$ whereα, β, τ; k 1,k 2,k 3 are positive constants. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

The predator-prey model with two limit cycles

Acta Mathematicae Applicatae Sinica , Volume 5 (1) – Jul 13, 2005

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References (1)

Publisher
Springer Journals
Copyright
Copyright © 1989 by Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02006184
Publisher site
See Article on Publisher Site

Abstract

This paper investigates the predator-prey system: $$\begin{gathered} \dot x = k_1 (x - \alpha x) - k(x)y, \hfill \\ \dot y = ( - k_s + \beta k(x))y \hfill \\ \end{gathered}$$ with $$k(x) = \left\{ {\begin{array}{*{20}c} {k_2 x,} & {x \leqslant \tau ,} \\ {k_2 \tau ,} & {x > \tau ,} \\ \end{array} } \right.$$ whereα, β, τ; k 1,k 2,k 3 are positive constants.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jul 13, 2005

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