STABILITY ANALYSIS OF A PLANKTON SYSTEM WITH DELAY

Subject Areas : International Journal of Mathematical Modelling & Computations

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

Received: 2016-04-15 Accepted : 2016-04-15 Published : 2013-03-21

Keywords: Planktons, Nyquist Criterion, Length of Delay, Stability and Hopf-,

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.