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Double Periodic Solutions for a Ratio-Dependent Predator-Prey System with Harvesting Terms on Time Scales

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  • Zhenjie Liu

Abstract

We investigate a nonautonomous ratio-dependent predator-prey model with Beddington-DeAngelis functional response and multiple harvesting (or exploited) terms on time scales. By means of using a continuation theorem based on coincidence degree theory, we obtain sufficient criteria for the existence of at least two periodic solutions for the system. Moreover, when the time scale is chosen as or , the existence of the periodic solutions of the corresponding continuous and discrete models follows. Therefore, the methods are unified to provide the existence of the desired solutions for the continuous differential equations and discrete difference equations.

Suggested Citation

  • Zhenjie Liu, 2009. "Double Periodic Solutions for a Ratio-Dependent Predator-Prey System with Harvesting Terms on Time Scales," Discrete Dynamics in Nature and Society, Hindawi, vol. 2009, pages 1-12, October.
    • Handle: RePEc:hin:jnddns:243974
    DOI: 10.1155/2009/243974
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