论文标题
猎人 - 采集者农场人口模型：具有生物学解释的新条件对称性和精确的解决方案
A hunter-gatherer-farmer population model: new conditional symmetries and exact solutions with biological interpretation
论文作者
论文摘要
由Aoki，Shida和Shigesada提出的新的Q条件（非古典）对称性和精确解决方案（理论Popul。Biol。1996; 50：1-17）。用于上述目的的主要方法是针对部分微分方程系统的非经典方法的扩展。对获得的确切溶液的性质及其生物学解释进行了分析。将新结果与最新研究中的新结果进行了比较。
New Q-conditional (nonclassical) symmetries and exact solutions of the hunter-gatherer-farmer population model proposed by Aoki, Shida and Shigesada (Theor. Popul. Biol. 1996;50:1-17) are constructed. The main method used for the aforementioned purposes is an extension of the nonclassical method for system of partial differential equations. An analysis of properties of the exact solutions obtained and their biological interpretation are carried out. New results are compared with those derived in recent studies devoted to the same model.
