In this work, we investigate anisotropic dark energy cosmological models in the framework of Bianchi type-III space-time incorporating one-dimensional cosmic strings within Einstein’s general relativity. To obtain exact solutions of the field equations, a hybrid expansion law for the average scale factor is assumed, which successfully describes the transition of the universe from an early decelerating phase to the present accelerating phase. We analyze the dynamical behavior of the model through important cosmological parameters such as the dark energy equation of state parameter, skewness parameters, deceleration parameter, and statefinder diagnostics. The evolution of physical quantities indicates that the string tension density and matter energy density dominate at early times but decay as the universe evolves, leading to the dominance of dark energy at late times. The equation of state parameter exhibits a transition from quintessence behavior and asymptotically approaches the cosmological constant value (ωde = −1), consistent with current observational data. Furthermore, the statefinder analysis shows that the model approaches the ΛCDM limit in the late-time universe. The results demonstrate that the proposed anisotropic model with cosmic strings provides a viable description of the observed accelerated expansion of the universe.
A B Koteswara Rao (Thu,) studied this question.