Bifurcations of a prey-predator economic model incorporating stagestructure and a constant proportion refuge
In this paper, a prey-predator economic model incorporating stage-structure and a constant proportion refuge is established. By using the differential-algebraic system theory and bifurcation theory, the dynamic behaviors of the proposed system with zero and positive economic profit are investigated. It shows that the system has two bifurcation phenomena when the economic profit is zero. One is transcritical bifurcation and the other is singular induced bifurcation which indicates the zero economic profit brings rapid expansion of the population in biological explanation. When the economic profit is positive, the system undergoes saddle-node bifurcation at critical value of positive economic profit.
differential-algebraic system bifurcation harvesting refuge
Chunjin Wei Lansun Chen
Science College,Jimei University, Xiamen 361021,P. R.China Academy of Mathematics and System Sciences,Chinese Academy of Sciences,Beijing, 100080, China
国际会议
The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)
南京
英文
1154-1159
2011-06-01（万方平台首次上网日期，不代表论文的发表时间）