A Michaelis-Menten type food chain model with strong Allee effect on the prey

被引：21

作者：

Manna, Debasis ^{[1
]}

Maiti, Alakes ^{[2
]}

Samanta, G. P. ^{[3
]}

机构：

[1] Surendranath Evening Coll, Dept Math, Kolkata 700009, India

[2] Vidyasagar Evening Coll, Dept Math, Kolkata 700006, India

[3] Indian Inst Engn Sci & Technol, Dept Math, Shibpur Howrah 711103, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2017年 / 311卷

关键词：

Food chain; Allee effect; Stability; Time-delay; Hopf bifurcation; ANIMAL AGGREGATIONS; LIMIT-CYCLES; PREDATION; DYNAMICS; DENSITY; GROWTH; DELAY;

D O I：

10.1016/j.amc.2017.05.040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Dynamical behaviours of a tritrophic food chain model with strong Allee effect in the prey are studied in this paper. Positivity and boundedness of the system are discussed. Some global results on extinction of the species are derived. Stability analysis of the equilibrium points is presented. The effect of discrete time-delay is studied, where the delay may be regarded as the gestation period of the superpredator. Numerical simulations are carried out to validate our analytical findings. Implications of our analytical and numerical findings are discussed critically. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：390 / 409

页数：20

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