This paper presents a new radio frequency power amplifier behavioral model that is capable of modeling long term memory effects. The proposed model is derived by assuming linear dependence of the parameters of a conventional model to a long term memory parameter, which enables the model to better track the signal-induced changes of the power amplifier electrical behavior. The model is experimentally tested on a 100W Doherty power amplifier, with a signal that has a step-like change in power, representative of a realistic communication system with bursty behavior. Results show that the proposed model is able to improve the normalized mean squared error performance by around 2–3 dB.