An analytical approach to top predator interference on the dynamics of a food chain model

被引：3
|
作者：
Senthamarai, R. [1 ]
Vijayalakshmi, T. [1 ]
机构：
[1] SRM Inst Sci & Technol, Dept Math, Kattankulathur, Tamil Nadu, India
来源：
PROCEEDINGS OF THE 10TH NATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND ITS APPLICATIONS (NCMTA 18) | 2018年 / 1000卷
关键词：
Food chain model; Homotopy perturbation method; system of non-linear differential equations; PREY SYSTEM;
D O I：
10.1088/1742-6596/1000/1/012139
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a nonlinear mathematical model is proposed and analyzed to study of top predator interference on the dynamics of a food chain model. The mathematical model is formulated using the system of non-linear ordinary differential equations. In this model, there are three state dimensionless variables, viz, size of prey population x, size of intermediate predator y and size of top predator population z. The analytical results are compared with the numerical simulation using MATLAB software and satisfactory results are noticed.
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页数：9
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