STABILITY ANALYSIS OF A LOTKA-VOLTERRA TYPE PREDATOR-PREY SYSTEM WITH ALLEE EFFECT ON THE PREDATOR SPECIES

被引：17

作者：

Guan, Xinyu ^{[1
]}

Liu, Yu ^{[1
]}

Xie, Xiangdong ^{[2
]}

机构：

[1] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350108, Fujian, Peoples R China

[2] Ningde Normal Univ, Dept Math, Ningde 352100, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE | 2018年

基金：

中国国家自然科学基金;

关键词：

predator; prey; Allee effect; global stability;

D O I：

10.28919/cmbn/3654

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we propose a Lotka-Volterra type predator-prey system with Allee effect on the predator species. Sufficient condition which ensure the existence of a unique globally asymptotically stable positive equilibrium is obtained. Numeric simulation s show that the system subject to an Allee effect takes much longer time to reach its stable steady-state solution, however, Allee effect has no influence on the final density of the predator and prey species. This result differs from that obtained for the predator prey system with Allee effect on the prey species.

引用

页数：13

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