Dynamical Behaviour ehaviour of an Integrated ntegrated Pest est Management Model

摘要：

An impulsive model concerning integrated pest management (IPM) with fixed intervention times is proposed, and meanwhile the effects of pest resistance to pesticides are studied. To control the pest level, we consider the control strategy that sprays pesticides more frequently than releases natural enemies. The model allows natural enemies to survive but under some conditions may lead to extinction of the sensitive pest. We use a prey-dependent consumption model with fixed impulsive effects and a stability threshold condition for a pest eradication periodic solution is provided. Furthermore, some numerical simulations are given. Simulations show that the final stable states of predator-prey populations depend on their initial densities as well as their ratios, and the results are confirmed by basins of attraction of initial densities.

关键词： Impulsive differential equations Periodic solution Globally attractive Integrated pest management Resistant pest

作者: Yali Yang Youping Yang Yayi Xu

作者单位: Department of Applied Mathematics and Physics,Air Force Engineering University,Xian 710051,China;De Department of Applied Mathematics, Xian Jiaotong University,Xian 710049,P.R. China Department of Applied Mathematics and Physics,Air Force Engineering University,Xian 710051,China

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 960-965

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）