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International Journal of Statistika and Mathematika, ISSN: 2277- 2790 E-ISSN: 2249-8605

Volume 5, Issue 2, March 2013 pp 39-44

Research Article

A Stochastic Analysis of Two Competitive Interacting Species with Bionomic Harvesting of Both the Species

R. Srilatha1, B. Ravindra Reddy2, N. Ch. Pattabhiramacharyulu3

1Sree Chaitanya Inst. of Tech. & Sci., Thimmapur, Karimnagar-505527, Andhra Pradesh, INDIA.

2Department of Mathematics, JNTUH CE, Nachupally, Karimnagar-505501, Andhra Pradesh, INDIA.

3Professor (Retd.) of Mathematics, NIT, Warangal – 506004, Andhra Pradesh, INDIA.

Academic Editor:  Dr. Dase R.K.



This paper deals with two species competitive model with both the first and second species are harvested under bionomic conditions. The model is characterized by a pair of first order non-linear ordinary differential equations. All the possible equilibrium points of the model are identified and the criteria for the local and global stabilities are discussed .The possibility of existence of bio economic equilibrium is being discussed. We also provide analytical estimates of the population intensities of fluctuations by Fourier transform methods.

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