  The present search focus on the mechanism of gravitationally influenced
particle creation (PC) in higher dimensional
Friedmann-Lemaitre-Robertson-Walker(FLRW) cosmological models with a
cosmological constant (CC). The solution of the corresponding field equations
is obtained by assuming a periodically varying deceleration parameter (PVDP)
i.e. $q= m \cos kt - 1$ [Shen and Zhao, Chin. Phys. Lett., 31 (2014) 010401]
which gives a scale factor $a(t) = a_0 \left[\tan
\left(\frac{kt}{2}\right)\right]^\frac{1}{m}$, where $a_0$ is the scale factor
at the current epoch. Here $k$ displays the PVDP periodicity and can be
regarded as a parameter of cosmic frequency, $m$ is an enhancement element that
increases the PVDP peak. Here, we investigated the periodic variation behavior
of few quantities such as the deceleration parameter $q$, the energy density
$\rho$, PC rate $\psi$, the entropy $S$, the CC $\Lambda$, Newton's
gravitational constant $G$ and discuss their physical significance. We have
also explored the density parameter, proper distance, angular distance,
luminosity distance, apparent magnitude, age of the universe, and the look-back
time with redshift $z$ and have observed the role of particle formation
in-universe evolution in early and late times. The periodic nature of various
physical parameters is also discussed which are supporting the recent
observations.
