  We utilize the effective Lagrangian method within the tree-level Born
approximation to explore $\phi$-meson photoproduction, i.e., $\gamma p \to \phi
p$. Our analysis encompasses contributions from various sources, including the
Pomeron, $f_1$-Regge, pseudoscalar particles ($\pi$, $\eta$), scalar particles
($a_0$, $f_0$), protons, and three-nucleon resonance states. In addition, we
consider a possible pentaquark-like $K^* \Sigma$-bound state $P_s$. The
findings indicate that, apart from the region near the threshold, contributions
other than the Pomeron generally have a limited impact on the total cross
section. However, at specific angles, alternative contributions become crucial,
particularly at smaller values of ${\rm cos}\,\theta$. The incorporation of
$P_s$ and other nucleon resonances proves essential to elucidate the bump
observed near $W \sim 2.15$ GeV at very forward angles and behaviors within the
range of $W=(2.0-2.3)$ GeV. Furthermore, in the region with $W\ge 2.5$ GeV,
where nucleon resonances become negligible, contributions from the t-channel
mesons become pivotal. Our calculations for spin density matrix components,
examined in various frames, exhibit improvement when considering all
contributions. This comprehensive approach successfully reproduces the observed
bump by including $P_s$. We also briefly estimate the $P_s$ production via
$\phi$-meson photoproduction in the future Electron-Ion Collider (EIC),
resulting in the luminosity of 10 fb$^{-1}$ per month.
