Cultural hereditary transmission is indeed very important for the recognition of human personalities and countries are seeking to integrate them into their school curriculum. A deterministic mathematical model for human behavior transmission is extracted and built into the present study. The fundamental characteristics of the model are well established and the reproduction number is evaluated. The stability analysis indicates that the model is undergoing a backward bifurcation phenomenon. Time dependent control is also introduced into the model and Pontryagin’s Maximum is employed to characterise the best strategy to spread cultural heredity. The numerical simulation findings are also provided and indicate that the best approach for improving cultural heritage in a society is to explore all three control methods at the same time.

文化上的遗传传播对于承认人类个性确实非常重要，各国正在设法将其纳入学校课程。提取人类行为传递的确定性数学模型，并将其构建到本研究中。很好地建立了模型的基本特征，并评估了复制次数。稳定性分析表明该模型正在发生向后分叉现象。该模型还引入了与时间有关的控制，并采用了Pontryagin的最大值来表征传播文化遗传的最佳策略。还提供了数值模拟结果，表明在一个社会中改善文化遗产的最佳方法是同时探索所有三种控制方法。