具有猎物避难所的离散捕食者 - 猎物系统中的猎物优势

Prey dominance in discrete predator-prey systems with a prey refuge.

作者信息

Yakubu A A

机构信息

Department of Mathematics, Howard University, Washington, DC 20059, USA.

出版信息

Math Biosci. 1997 Sep;144(2):155-78. doi: 10.1016/s0025-5564(97)00026-6.

DOI:10.1016/s0025-5564(97)00026-6

PMID:9258004

Abstract

The effects of a prey refuge in a multiprey discrete system with predation is studied. We demonstrate the stable coexistence of species that would otherwise exclude each other without a prey refuge. With a prey refuge, we show that an endangered prey not only recovers from the brink of extinction, but also dominates the system. We invent notions of dominance that guarantee the extinction of all the dominated prey in the system. With the extermination of most of its prey, the predator either coexists with the dominant prey or is driven to extinction. By using a precise mathematical definition, we obtain that a prey with a sufficiently high carrying capacity persists in a predator-prey system with a prey refuge.

摘要

研究了具有捕食行为的多猎物离散系统中猎物避难所的影响。我们证明了在没有猎物避难所时会相互排斥的物种能够稳定共存。有了猎物避难所，我们表明一种濒危猎物不仅能从灭绝边缘恢复，还能主导该系统。我们提出了优势概念，以确保系统中所有被主导的猎物灭绝。随着其大部分猎物被消灭，捕食者要么与优势猎物共存，要么被驱向灭绝。通过使用精确的数学定义，我们得出在具有猎物避难所的捕食 - 猎物系统中，具有足够高承载能力的猎物能够持续存在。