Castillo-Chavez C, Huang W
Biometrics Unit, Cornell University, Ithaca, New York 14853, USA.
Math Biosci. 1995 Jul-Aug;128(1-2):299-316. doi: 10.1016/0025-5564(94)00077-d.
The goal of this article is to formulate and analyze the simplest logistic pair-formation model and to contrast its dynamics to that of the corresponding Malthusian pair-formation model, that is, a generalization of the Kendall-Keyfitz model. The Malthusian pair-formation model supports a unique nontrivial stable exponential solution, and it is shown that the logistic pair-formation model supports a unique stable nontrivial bounded solution.
本文的目标是构建并分析最简单的逻辑斯谛配对形成模型,并将其动态与相应的马尔萨斯配对形成模型(即肯德尔 - 凯菲茨模型的推广)进行对比。马尔萨斯配对形成模型支持唯一的非平凡稳定指数解,且已证明逻辑斯谛配对形成模型支持唯一的稳定非平凡有界解。