29Mar 2017

A FOOD CHAIN STRUCTURES AND DYNAMICS ACROSS A REFUGE STAGE- STRUCTURE PREY-PREDATOR MODEL.

  • Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq.
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In the present paper the structures and dynamics of a food chain prey- predator model are proposed and studied. The two stages and refuge in prey and two predators (top and mid) are considered. Different types of functional responses have been proposed. The conditions, which guarantee the existence of equilibrium points, have been investigated. Uniqueness and boundedness of the solution of the system are proven. The local and global dynamical behaviors are discussed and analyzed. Finally, numerical simulations are carried out not only to confirm the theoretical results obtained, but also to show the effects of the refuge and the variation of each parameter on our proposed system.

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[Azhar Abbas Majeed and Sabah Ali Rahi. (2017); A FOOD CHAIN STRUCTURES AND DYNAMICS ACROSS A REFUGE STAGE- STRUCTURE PREY-PREDATOR MODEL. Int. J. of Adv. Res. 5 (Mar). 1362-1380] (ISSN 2320-5407). www.journalijar.com

Sabah Ali
Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq.

DOI:

Article DOI: 10.21474/IJAR01/3644      
DOI URL: https://dx.doi.org/10.21474/IJAR01/3644

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