Qualitative Behaviour of Generalised Beddington Model

被引：19

作者：

Din, Qamar ^{[1
]}

Khan, Muhammad Adil ^{[2
]}

Saeed, Umer ^{[3
]}

机构：

[1] Univ Poonch Rawalakot, Dept Math, Rawalakot 12350, Pakistan

[2] Univ Peshawar, Dept Math, Peshawar 25000, Pakistan

[3] Natl Univ Sci & Technol, NUST Inst Civil Engn, Islamabad, Pakistan

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2016年 / 71卷 / 02期

关键词：

Global Behaviour; Local Stability; Predator-Prey Model; Rate of Convergence; Steady States; PREDATOR-PREY SYSTEM; FOOD-CHAIN SYSTEM; DIFFERENCE-EQUATIONS; STABILITY ANALYSIS; MULTIPLE DELAYS; DISCRETE; DYNAMICS; BIFURCATIONS;

D O I：

10.1515/zna-2015-0410

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

This work is related to the dynamics of a discrete-time density-dependent generalised Beddington model. Moreover, we investigate the existence and uniqueness of positive equilibrium point, boundedness character, local and global behaviours of unique positive equilibrium point, and the rate of convergence of positive solutions that converge to the unique positive equilibrium point of this model. Numerical examples are provided to illustrate theoretical discussion.

引用

页码：145 / 155

页数：11

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