DOI: 10.5176/2251-1911_CMCGS19

Authors: Anupam Priyadarnupam Priyadarshi, Sunita Gakkhar and Sandip Banerjee

Abstract: The dynamics of a tri-trophic food chain model with constant protection on prey has been investigated in this paper. The bifurcation diagrams are drawn with respect to protection parameter. The parameter range for coexistence of all three species in the form of quasi-periodic / periodic / stable solutions has been obtained numerically. The extinction of one or two species is possible for higher values of protection parameter. The three dimensional phase space dynamics have been drawn with respect to protection parameter. It has been observed that protection can be used for controlling chaos in tritrophic food chain model.

Keywords: constant Protection, Stability, Chaos control.

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