中文摘要：

经典的谣言传播模型的研究中，谣言传播率和移出率通常被视为常数，根据实际情况提出传播率和移出率变化的谣言传播模型，在均匀网络和无标度网络中分别研究了传播率和移出率随时间变化的谣言传播模型，建立相应的平均场方程，并在Matlab中进行数值分析。结果显示在传播率和移出率变化的谣言传播模型中，传播阈值依然存在，谣言最终的影响力较传播率和移出率不变的情况更为显著。此外，通过均匀网络与无标度网络谣言传播的对比分析发现，在传播率和移出率随时间变化的情况下，网络拓扑结构对谣言传播也有很大影响，并且均匀网络中谣言最终的影响力较无标度网络中谣言的最终影响力更为显著。

英文摘要：

In the study of classical rumor spreading models,rumor spreading rate and removal rate are generally regarded as constants.Based on practical situations,a rumor spreading function and a removal rate function were proposed and a rumor spreading model with variable spreading rate and removal rate was studied in homogeneous and scale-free networks respectively.Mean-field equations were derived and numerical simulations were conducted in Matlab.The results show that in the rumor spreading model with variable spreading rate and removal rate,spreading threshold still exists and the final size of rumor spreading is larger than that in the rumor spreading model with constant spreading rate and removal rate.Furthermore,the comparison between rumor spreading processes in homogeneous network and heterogeneous network shows that network topological structure has a great impact on rumor spreading.The final size of rumor spreading in homogeneous network is larger than that in scale-free network.