Impulse Effect on a Population Model with Piecewise Constant Argument

Karakoç F.

25th International Conference on Difference Equations and Applications, ICDEA 2019, London, Birleşik Krallık, 24 - 28 Haziran 2019, cilt.341, ss.269-278 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 341
  • Doi Numarası: 10.1007/978-3-030-60107-2_13
  • Basıldığı Şehir: London
  • Basıldığı Ülke: Birleşik Krallık
  • Sayfa Sayıları: ss.269-278
  • Anahtar Kelimeler: Difference equation, Impulse, Linearized oscillation, Non-oscillation, Piecewise constant argument, Population model
  • Ankara Üniversitesi Adresli: Evet

Özet

© 2020, Springer Nature Switzerland AG.We consider a population model with piecewise constant argument under impulse effect. First, we deal with the model with impulses. Sufficient conditions for the oscillation of the solutions are obtained. We also investigate asymptotic behavior of the non-oscillatory solutions. Then we obtain similar results for the same model without impulse effect. Finally, we compare the results with non-impulsive case and we give some examples to illustrate our results.