Impulsive control of a semi-ratio predator-prey system
This paper gives a qualitative analysis of application model of differential equation for state impulsive effect in predator-prey systems. When a kind of prey population gets to a certain economic threshold(ET),we let the pest population not exceed economic damage levels by artificial stocking predator and capture control. First, we have a qualitative analysis of systems without impulsive function and we obtain the sufficient conditions for existence and stability of positive equilibrium.For systems with state-dependent impulse,by using successor function of differential equation geometry theory , the sufficient conditions for the existence and orbitally asymptotic stability of an order one periodic solution are obtained. Finally, numerical results show that the system we are considering are full of application significance on the pest control management.
a semi-ratio-dependent predator-prey system state impulsive an order one periodic solution stability
Jinbo Fu Lansun Chen
Minnan Science and Technology Institute, Fujian Normal University, Quanzhou, 362332, 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
1060-1067
2011-06-01（万方平台首次上网日期，不代表论文的发表时间）