Dynamics and bifurcations in predator-prey type of systems

We investigate a predator-prey model with a non-monotonic response function subjected to a small periodic forcing.  This forcing term is chosen to model for example, the small variations in the natural growth or carrying capacity due to seasonal change in the environtment.  This is investigated by using the so-called stroboscopic map.

This research was funded by:

  1. ITB, by Riset P3MI 2017: p.i. Hendra Gunawan.
  2. ITB, by Riset KK ITB 2017.
  3. ITB, by Riset KK ITB 2015.
  4. ITB, by Penguatan Riset Institusi 2011.
  5. KNAW (Royal the Netherlands Society for Science), by Spin PostDoctoral Program 2007.


Research team:

  1. Dr. Eric (ITB)
  2. Marwan, MSi (PhD student, ITB)
  3. Livia Owen, MSi (PhD student, ITB)


  1. Prof. H.W. Broer (Univ Groningen),
  2. Prof F. Verhulst (Univ Utrecht),
  3. Kie Van Ivanky Saputra PhD., (Universitas Pelita Harapan).
  4. Kus Prihastono M.Si., (Universitas Negeri Jogjakarta)

I. Research Program: Bifurcation of Periodic Solution in a Predator-Prey Type of Systems with Non-monotonic Response Function and Periodic Perturbation. Supported by: KNAW, the Netherlands 2007 and ITB, PRI 2010

II. Research Program: Chaotic Dynamics in Predator-Prey Type of Systems.



(1) Eric Harjanto, J.M. Tuwankotta, Bifurcation of Periodic Solution n a Predator-Prey Type of Systems with Non-monotonic Response Function and Periodic Perturbation, Accepted for publication with Far East Journal of Dynamical Systems.
(2) Eric Harjanto, J.M. Tuwankotta, Hilangnya Dua Bifurkasi Fold Tanpa Melalui Bifurkasi Cusp pada Sistem Predator-Prey dengan Faktor Pertahanan Grup dan Gangguan Berkala, Prosiding Konferensi Nasional Matematika XVII-2014, 11-14 Juni 2014, ITS, Surabaya.

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