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Permanence and Global Attractivity of a Periodic Predator–prey System with Mutual Interference and Impulses

Farahi, Taghi | 2013

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 44739 (02)
  4. University: Sharif University of Technology
  5. Department: Mathematical Sciences
  6. Advisor(s): Fotoohi Firoozabadi, Morteza
  7. Abstract:
  8. In this thesis,we consider aperiodic predator–ysystem with mutualinter ference andimpulses. By constructing a suitable Lyapunov function and using the compar-ison the orem of impulsive differential equation, sufficient conditions which ensure the permanence and global attractivity of the system are obtained. We also present some examples to verify our main results
  9. Keywords:
  10. Predator-Prey System ; Stability ; Global Attractor ; Impulsive Differential Equation ; Mutual Interference

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