Determining the stability condition of a predator-prey interaction with a prescribed delay in the system

Abstract

Sadik Olaniyi Maliki , Bassey Okpo Orie, Samuel Ugochukwu Enogwe

This study attempts to model a real life situation involving delay differential equation, in particular the predatorprey
interaction. A delay of ? =0.01 is prescribed into the system to determine whether the system will be stable
or otherwise. The results show that when an insignificant delay is introduced, its stability returns to that of an
ordinary differential equation, but when the delay is significant, it results into solutions of infinite roots.

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