Stability Analysis of Mutualism Model with Time Delay and Proportional Harvesting

被引：0
|
作者：
Ahmad, Rusliza [1 ]
Budin, Harun [2 ]
Ismail, Salemah [2 ]
机构：
[1] UiTM Perak, Dept Math, Kampus Tapah,Tapah Rd, Perak 35400, Malaysia
[2] Univ Teknol MARA, Dept Math, Shah Alam 40450, Selangor, Malaysia
来源：
2015 INTERNATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES AND COMPUTING RESEARCH (ISMSC) | 2015年
关键词：
bifurcation; delay margin; mutualism model; time delay; proportional harvesting;
D O I：
暂无
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This paper studies the effect of time delay and proportional harvesting on stability of mutualism model as well as to establish conditions for sustainable harvesting so that the unique positive equilibrium point is stable. First the stability of the model with harvesting is analyzed. The model is then improved by considering a time delay in the mechanism of the growth rate of the population. The analysis shows that when there is no delay, varying the harvesting rate does not affect the stability of the model if the value of harvesting rate is under control while time delay can cause a stable equilibrium point to become unstable.
引用
收藏
页码：464 / 469
页数：6
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