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In this work, a new static, non-singular, spherically symmetric fluid modelhas been obtained in the background of $f(R,\,T)$ gravity. Here we consider theisotropic metric potentials of Durgapal-IV [M.C. Durgapal, J. Phys. A {\bf 15}2637 (1982)] solution as input to handle the Einstein field equations in$f(R,\,T)$ environment. For different coupling parameter values of $\chi$,graphical representations of the physical parameters have been demonstrated todescribe the analytical results more clearly. It should be highlighted that theresults of General Relativity (GR) are given by $\chi=0$. With the use of bothanalytical discussion and graphical illustrations, a thorough comparison of ourresults with the GR outcomes is also covered. The numerical values of thevarious physical attributes have been given for various coupling parameter$\chi$ values in order to discuss the impact of this parameter. Here we applyour solution by considering the compact star candidate LMC X-4 [M.L. Rawls etal., Astrophys. J. {\bf 730} 25 (2011)] with mass$=(1.04 \pm 0.09)M_{\odot}$and radius $= 8.301_{-0.2}^{+0.2}$ km. respectively, to analyze bothanalytically and graphically. To confirm the physical acceptance of our model,we discuss certain physical properties of our obtained solution such as energyconditions, causality, hydrostatic equilibrium through a modifiedTolman-Oppenheimer-Volkoff (TOV) conservation equation, pressure-density ratio,etc. Also, our solution is well-behaved and free from any singularity at thecenter. From our present study, it is observed that all of our obtained resultsfall within the physically admissible regime, indicating the viability of ourmodel.

Relativistic isotropic stellar model in $f(R,\,T)$ gravity with Durgapal- IV Metric