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

Safaa Jawad Ali (), Norihan Md. Arifin (), Raid Kamel Naji (), Fudziah Ismail () and Norfifah Bachok ()
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Safaa Jawad Ali: Universiti Putra Malaysia, Institute for Mathematical Research
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

A chapter in Recent Advances in Mathematical Sciences, 2016, pp 13-26 from Springer

Abstract: 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.

Keywords: Food chain; Chaotic; Leslie–Gower; Functional response; Sokol–Howell (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-10-0519-0_2

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DOI: 10.1007/978-981-10-0519-0_2

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