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We investigate a flat Emergent Universe (EU) with a nonlinear equation ofstate which is equivalent to three different compositions of fluids. In the EU,initially, the evolution of the universe began with no interaction, but as timeevolves, an interaction sets in among the three fluids leading to the observeduniverse. The characteristic of an EU is that it is a singularity-free universethat evolves with all the basic features of the early evolution. A givennonlinear equation of state parameter permits a universe with three differentfluids. We get a universe with dark energy, cosmic string, and radiationdomination to begin with, which at a later epoch transits into a universe withthree different fluids with matter domination, dark matter, and dark energy fora given interaction strength among the cosmic fluids. Later the modelparameters are constrained using the observed Hubble data and Type Ia Supernova(SnIa) data from the Pantheon data set. The classical stability analysis of themodel is performed using the square speed of sound. It is found that atheoretically stable cosmological model can be obtained in this case, however,the model becomes classically unstable at the present epoch when theobservational bounds on the model parameters are taken into account.

Observational constraints on the Emergent Universe with interacting non-linear fluids and its stability analysis