Modelling the Effect of Toxicant on a Three Species Food-Chain System with Predator Harvesting

被引：0
|
作者：
Misra O.P. [1 ]
Babu A.R. [1 ]
机构：
[1] School of Mathematics and Allied Sciences, Jiwaji University, Gwalior
来源：
International Journal of Applied and Computational Mathematics | 2017年 / 3卷 / Suppl 1期
关键词：
Food-chain; Harvesting; Stability; Toxicant; Variational matrix;
D O I：
10.1007/s40819-017-0342-4
中图分类号：
学科分类号：
摘要：
In this paper, the effect of toxicant on a three species food-chain system is considered and studied with predator harvesting. Two models have been studied in this paper to visualize the dynamical behaviour of prey and predator populations under toxicant stress. Dynamics of all the feasible equilibria of the systems are discussed using stability theory, and the conditions are derived for the survival or extinction of the populations under the effect of toxicant. Finally, numerical simulation is carried out to support the analytical results. © 2017, Springer India Pvt. Ltd.
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页码：71 / 97
页数：26
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