This paper investigates the secrecy performance of α-Beaulieu-Xie shadowed fading channels based on the Wyner’s wiretap model. In particular, the lower bound expression of secure outage probability (SOP) and the exact expression of strictly positive secrecy capacity (SPSC) are derived. Monte Carlo simulation verifies the accuracy of theoretical analysis. The results indicate that the larger α_D, m_DX and m_DY or smaller Ω_DX can enhance the performance of model. Moreover, to predict the security performance of the model, the self long short-term memory (Self-LSTM) algorithm is proposed.  We found that the Self-LSTM algorithm has better prediction performance by comparing with LSTM, DenseNet and convolutional neural network (CNN) network. Compared with the LSTM, the prediction accuracy of Self-LSTM is increased by 55.95%, the time complexity is decreased by 81.03%. Comparing to the DenseNet network, the precision of the Self-LSTM algorithm is improved by 64.20%. It can be concluded that the proposed Self-LSTM has higher prediction accuracy and lower time complexity.