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Publication Date
Sat Apr 30 2022
Journal Name
Iraqi Journal Of Science
Volume
63
Issue Number
4
DOI
10.24996/ijs.2022.63.4.32
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ijs-4553
The Complex Dynamics in a Food Chain Involving Different Functional Responses
Chaos
Stability
Holling type IV
Leslie-Gower
Persistence
Safaa Jawad
Adwea Naji
Raid Kamel
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      A food chain model in which the top predator growing logistically has been proposed and studied. Two types of Holling’s functional responses type IV and type II have been used in the first trophic level and second trophic level respectively, in addition to Leslie-Gower in the third level. The properties of the solution are discussed. Since the boundary dynamics are affecting the dynamical behavior of the whole dynamical system, the linearization technique is used to study the stability of the subsystem of the proposed model. The persistence conditions of the obtained subsystem of the food chain are established. Finally, the model is simulated numerically to understand the global dynamics of the food chain under study.

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