  We revisit the regular black hole found by Hayward in $4-$dimensional static,
spherically symmetric spacetime. To find a possible source for such a spacetime
we resort to the non-linear electrodynamics in general relativity. It is found
that a magnetic field within this context gives rise to the regular Hayward
black hole. By employing such a regular black hole we construct a thin-shell
wormhole for the case of various equations of state on the shell. We abbreviate
a general equation of state by $p=\psi \left( \sigma \right) $ where $p$ is the
surface pressure which is the function of the mass density ($\sigma $). In
particular, a linear, logarithmic, Chaplygin, etc. forms of equations of state
are considered. In each case we study the stability of the thin-shell against
linear perturbations. We plot the stability regions by tuning the parameters of
the theory. It is observed that the role of the Hayward parameter is to make
the TSW more stable. Perturbations of the throat with small velocity condition
is also studied. The matter of our TSWs, however, remains to be exotic.

General Relativity and Quantum Cosmology