Qualitative Analysis of a Tri-Trophic Food Chain Model where Prey Population shows Herd Behaviour

Abstract

Predator turning away is that the most vital issue as well as vertical migration among the animate being candle power at the surface water additionally plays a vital role to form the predation pressure on animate being as most of the fishes show visually minded predation. During this article we have a tendency to assume that the animate being will switch between vulnerable and secure state through vertical migration. This shift is regulated by candlepower, predator abundance and food abundance in surface water. We have a tendency to propose a tri-trophicorganic phenomenon model incorporation migratory behaviour of the center predator. The native and world stability analysis of the model system is dispensed.