沃尔泰拉方程的平方根模型及其显式解。

Square-root models for the Volterra equations and the explicit solution of these models.

作者信息

Arrigoni M, Steiner A

出版信息

Acta Biotheor. 1983;32(2):123-42. doi: 10.1007/BF02045064.

DOI:10.1007/BF02045064

Abstract

Volterra's (1926) equations for competition and predator-prey interactions are modified by introduction of root terms. A critical comparison with the original equations shows that the dynamic properties of the systems remain essentially alike, while the modification allows for explicit solution of the differential equations. Detailed solutions and numerical examples are given.

摘要

通过引入根式项，对沃尔泰拉（1926年）关于竞争和捕食-猎物相互作用的方程进行了修正。与原始方程的关键比较表明，系统的动态特性基本保持不变，而这种修正使得微分方程能够得到显式解。文中给出了详细的解和数值示例。