Abstract
Calculations of stellar evolution at initial abundances of helium
and heavier elements
were done for stars with masses on the main sequence
. Evolutionary sequences corresponding to the AGB stage were used for modelling the pulsation period decrease observed for almost two centuries in the Mira-type variable R Hya. Diminution of the period from @ 495 d in the second half of the eighteenth century to @ d in the 1950s is due to stellar radius decrease accompanying dissipation of the @ diation–diffusion wave generated by the helium flash. For all the history of its @bservations R Hya was the fundamental mode pulsator. The best agreement with @ bservations is obtained for eight evolutionary models with initial mass @ and the mass loss rate parameter of the Blöcker formula @. Theoretical mass estimates of R Hya are in the range @, whereas the mean stellar radius (@) corresponding to the pulsation period @ d agrees well with @easurements of the angular diameter by methods of the optical @nterferometric imaging.