The interaction between vacancies and dislocations critically governs the creep behaviour of particle strengthened alloys such as Ni-base superalloys, where the climb of dislocation is a rate-controlling mechanism. Discrete dislocation dynamics (DDD) models typically incorporate climb either as a rule-based description or a physics-based description.  In a rule-based description of climb, the ratio of glide to climb mobility is chosen to be much larger than unity, which ensures that climb is a slower process than glide. However, such a ratio overestimates the climb of dislocation by many orders and consequently disregards the time-scale separation between glide and climb processes and its explicit temperature dependence. On the other hand, physics-based descriptions include bulk vacancy diffusion where vacancy emission and absorption can occur at the dislocation core. Factors like the vacancy concentration gradient between dislocation and bulk of the crystal, dislocation density (which is a function of plastic strain level) and internal stress fields decide the climb velocity of dislocations. Moreover, physics-based descriptions involve a time-scale separation between glide, climb, and vacancy diffusion process. Hence, it becomes computationally intensive to model vacancy diffusion mediated description of climb of dislocation. Recently, a kinetic Monte-Carlo coupled DDD model has been proposed to model climb in BCC metals. This model obtains the climb mobility function correlated with underlying temperature, pressure, and vacancy concentrations which circumvents the need to solve computationally intensive vacancy diffusion equations. Along similar lines, in this work, we present a parametric description of the climb of dislocation in particle strengthened superalloys. We systematically investigate the effect of applied stress and temperature on the dynamics of the dislocation network formed during high-temperature uniaxial creep of particle-strengthened alloys. The present work is one of the first step towards concurrent evolution of $\gamma/\gamma'$ interfaces and dislocation network in a coupled phase-field and DDD framework. As an example, we show snapshots of initial simulation configuration and formation of dislocation network around unshearable cuboidal precipitates.