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Behavior of the Solutions for Predator‐Prey Dynamic Systems with Beddington‐DeAngelis Type Functional Response on Periodic Time Scales in Shifts

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Listed:
  • Neslihan Nesliye Pelen
  • Ayşe Feza Güvenilir
  • Billur Kaymakçalan

Abstract

We consider two‐dimensional predator‐prey system with Beddington‐DeAngelis type functional response on periodic time scales in shifts. For this special case we try to find under which conditions the system has δ±‐periodic solution.

Suggested Citation

  • Neslihan Nesliye Pelen & Ayşe Feza Güvenilir & Billur Kaymakçalan, 2016. "Behavior of the Solutions for Predator‐Prey Dynamic Systems with Beddington‐DeAngelis Type Functional Response on Periodic Time Scales in Shifts," Abstract and Applied Analysis, John Wiley & Sons, vol. 2016(1).
    • Handle: RePEc:wly:jnlaaa:v:2016:y:2016:i:1:n:1463043
    DOI: 10.1155/2016/1463043
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    References listed on IDEAS

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    1. Chunjin Wei & Lansun Chen, 2012. "Periodic Solution of Prey-Predator Model with Beddington-DeAngelis Functional Response and Impulsive State Feedback Control," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-17, November.
    2. Chunjin Wei & Lansun Chen, 2012. "Periodic Solution of Prey‐Predator Model with Beddington‐DeAngelis Functional Response and Impulsive State Feedback Control," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    3. Changjin Xu & Maoxin Liao, 2011. "Existence of Periodic Solutions in a Discrete Predator-Prey System with Beddington-DeAngelis Functional Responses," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2011, pages 1-18, December.
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