Role of nutritional food value and Allee effect in controlling chaos in a tri-trophic food chain with omnivory nature of top-predator
by Krishna Pada Das; Kulbhushan Agnihotri; Harpreet Kaur; Sunil Kumar
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 12, No. 3, 2022

Abstract: In this paper, a tri-trophic food chain mathematical model is suggested and examined to explore its dynamical behaviour by considering Allee effect in prey population and omnivory behaviour of the top predator i.e., its potential to feed on more than one trophic level. Conditions for local stability of the non-zero equilibrium point are found. The persistence of the system is also discussed. Evolution of chaos from a stable focus is found through numerical simulations when the half-saturation parameter is increased. It is also established that the omnivory and Allee parameters help to restrain the chaotic dynamics.

Online publication date: Fri, 02-Sep-2022

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