Taking into account the impact of self-heating and temperature rise effects, this work presents a physics-based analytical model for HEMTs, operating continuously from room temperature to high temperatures in linear and saturation regimes. Relying on the core Ecole Polytechnique Federale de Lausanne (EPFL) HEMT model, the temperature dependence of various parameters including mobility, saturation velocity, critical electric fields, access region resistance, threshold voltage, and subthreshold slope was taken into account in the model. The accuracy of the developed model is validated by the TCAD simulation results and experimental data over a wide range of ambient temperatures from -20 degrees C to 500 degrees C.