Application of homotopy perturbation method to solve two models of delay differential equation systems

YÜZBAŞI Ş., KARAÇAYIR M.

INTERNATIONAL JOURNAL OF BIOMATHEMATICS, cilt.10, sa.6, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 6
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1142/s1793524517500802
  • Dergi Adı: INTERNATIONAL JOURNAL OF BIOMATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Systems of delay differential equations, homotopy perturbation method, HIV infection of CD4(+) T-cells, advanced Lorenz system, HIV-INFECTION, PARAMETERS, DYNAMICS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, two delay differential systems are considered, namely, a famous model from mathematical biology about the spread of HIV viruses in blood and the advanced Lorenz system from mathematical physics. We then apply the homotopy perturbation method (HPM) to find their approximate solutions. It turns out that the method gives rise to easily obtainable solutions. In addition, residual error functions of the solutions are graphed and it is shown that increasing the parametern in the method improves the results in both cases.