离散三阶种群模型：持久性和全局稳定性结果。

Discrete three-stage population model: persistence and global stability results.

机构信息

Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA, USA.

出版信息

J Biol Dyn. 2008 Oct;2(4):415-27. doi: 10.1080/17513750802001812.

DOI:10.1080/17513750802001812

Abstract

A general three-stage discrete-time population model is studied. The inherent net reproductive number for this model is derived. Global stability of the origin is established provided that the inherent net reproductive number is less than one. If it is larger than one the existence of a unique positive fixed point is proved and the persistence of the system is established. Finally, for certain parameter ranges global stability of the positive fixed point is proved.

摘要

研究了一个通用的三阶段离散时间人口模型。推导出了该模型的固有净生殖数。如果固有净生殖数小于 1，则证明了原点的全局稳定性。如果它大于 1，则证明了存在唯一的正平衡点，并建立了系统的持久性。最后，对于某些参数范围，证明了正平衡点的全局稳定性。