  Homotopy deals with the intuitive idea of continuous deformation of a
continuous map between two topological spaces. In this paper, we introduce
homotopical selection principles in bitopological dynamical systems. Here, we
define $BTDS-$homotopy, $BTDS-$iteration homotopy and $BTDS-$path homotopy, and
then using these notions we define various selection properties viz.
H-Rothberger property, H-Menger property, PH-Rothberger property, PH-Menger
property and their weaker versions. We also discuss several results connecting
these concepts in bitopological dynamical systems.
