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STOCHASTIC ANALYSIS OF A TWO SPECIES MODEL WITH COMMENSALISM

M.N.Srinivas & K.Shiva Reddy

This paper deals with an exploration on mathematical model of commensal and host species, in the presence of randomly fluctuating driving forces on the growth of the species at time „ t â�?�? of a conventional eco system. The model consists of a commensal ( 1 S ), a host ( 2 S ) that benefit 1 S without getting effected either positively or adversely. The model is described by a pair of non-linear differential equations. Stochastic stability, in terms of the variances of the populations of the given system is derived using technique of Fourier transform.