STABILITY ANALYSIS OF A PLANKTON SYSTEM WITH DELAY

الموضوعات : فصلنامه ریاضی

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)

تاريخ الإرسال : 08 الجمعة , رجب, 1437 تاريخ التأكيد : 08 الجمعة , رجب, 1437 تاريخ الإصدار : 09 الخميس , جمادى الأولى, 1434

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

ملخص المقالة :

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.