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

Authors

  • SAMUEL UGOCHUKWU ENOGWE Department of Mathematics, Michael Okpara University of Agriculture, Umudike, Nigeria
  • Sadik Olaniyi Malik Department of Mathematics, Michael Okpara University of Agriculture, Umudike, Nigeria
  • Bassey Okpo Orie Department of Mathematics/Statistics, Federal Polytechnic Nekede, Owerri, Nigeria

Keywords:

Predator-Prey Interaction , Stability, Differential Equation, Delay

Abstract

This study attempts to model a real life situation involving delay differential equation, in particular the predator-prey 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 the an ordinary diffrential, but when the delay is significant the delay is significant, it results into solutions of infinite roots.

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Published

2020-12-31

How to Cite

ENOGWE, S. U., Maliki, S. O. ., & Orie, B. O. (2020). Determining the stability condition of a predator-prey interaction with a prescribed delay in the system. MathLAB Journal, 7, 1-9. Retrieved from https://purkh.com/index.php/mathlab/article/view/904

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Research Articles