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Boundedness and Stability of Leslie–Gower Model with Sokol–Howell Functional Response

In: Recent Advances in Mathematical Sciences

Author

Listed:
  • Safaa Jawad Ali

    (Universiti Putra Malaysia, Institute for Mathematical Research
    Middle Technical University, Technical Preparing Institute)

  • Norihan Md. Arifin

    (Universiti Putra Malaysia, Institute for Mathematical Research)

  • Raid Kamel Naji

    (College of Science, University of Baghdad, Department of Mathematics)

  • Fudziah Ismail

    (Universiti Putra Malaysia, Institute for Mathematical Research)

  • Norfifah Bachok

    (Universiti Putra Malaysia, Institute for Mathematical Research)

Abstract

In this chapter, a three-species model of Leslie–Gower predator–prey food chain model with Sokol–Howell functional response is proposed. The boundedness of the solution of the model is discussed. Local and global stability analyses of the system are carried out. The dynamics of the predator–prey food chain model with Sokol–Howell functional response is investigated theoretically as well as numerically.

Suggested Citation

  • Safaa Jawad Ali & Norihan Md. Arifin & Raid Kamel Naji & Fudziah Ismail & Norfifah Bachok, 2016. "Boundedness and Stability of Leslie–Gower Model with Sokol–Howell Functional Response," Springer Books, in: Adem Kılıçman & Hari M. Srivastava & M. Mursaleen & Zanariah Abdul Majid (ed.), Recent Advances in Mathematical Sciences, pages 13-26, Springer.
    • Handle: RePEc:spr:sprchp:978-981-10-0519-0_2
    DOI: 10.1007/978-981-10-0519-0_2
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