STABILITY ANALYSIS OF A PLANKTON SYSTEM WITH DELAY

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  • A. K. Sharma1,
  • A. Sharma2,
  1. DAV college,Jagraon Punjab University,Chandigarh,Punjab India Applied Science Department Associated Professor
  2. DAVIET Punjab technical university,jalandhar,Punjab India Applied science department,Assistent Prof. in Mathematics

Revised: 15-04-2016

Accepted: 15-04-2016

Published in Issue 21-03-2013

How to Cite

Sharma, A. K., & Sharma, A. (2013). STABILITY ANALYSIS OF A PLANKTON SYSTEM WITH DELAY. International Journal of Mathematical Modelling & Computations, 3(1), 1-9. https://oiccpress.com/ijm2c/article/view/11171

Abstract

This paper is evolved to have insight of Plankton-Nutrients interactions in the presence of delay in the growth term of phytoplankton species .The conditions for asymptotic stability about endemic equilibrium are derived in the absence of delay.The Nyquist criteria is used to estimate the length of delay to preserve stability .Analytic criterion for the existence of hopf-bifurcation is also discussed.
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