A RATIO-DEPENDENT PREDATOR-PREY MODEL WITH DELAY AND HARVESTING

被引：28
作者：
Misra, A. K. [1 ]
Dubey, B. [2 ]
机构：
[1] Banaras Hindu Univ, Dept Math, Fac Sci, Varanasi 221005, Uttar Pradesh, India
[2] Birla Inst Technol & Sci, Dept Math, Pilani 333031, Rajasthan, India
来源：
JOURNAL OF BIOLOGICAL SYSTEMS | 2010年 / 18卷 / 02期
关键词：
Predator-Prey; Harvesting; Stability; Delay; Hopf-Bifurcation; HOLLING TYPE-II; FUNCTIONAL-RESPONSE; GLOBAL STABILITY; TIME-DELAY; APPARENT COMPETITION; MEDIATED COEXISTENCE; SYSTEM; DYNAMICS; POPULATIONS; EXTINCTION;
D O I：
10.1142/S021833901000341X
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper a predator-prey model with discrete delay and harvesting of predator is proposed and analyzed by considering ratio-dependent functional response. Conditions of existence of various equilibria and their stability have been discussed. By taking delay as a bifurcation parameter, the system is found to undergo a Hopf bifurcation. Numerical simulations are also performed to illustrate the results.
引用
收藏
页码：437 / 453
页数：17
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