【作者】 陈磊； 张建勋；

【Author】 Lei CHEN,Jian-xun ZHANG Faculty of Science,Ningbo University,Ningbo 315211,China

【机构】 宁波大学理学院；

【摘要】 研究一类具有脉冲扰动和Beddington-DeAngelis功能性反应的两捕食者-两互惠食饵系统.利用脉冲微分方程的Floquet理论和小幅扰动法,得到了害虫灭绝周期解局部渐进稳定的充分条件.当脉冲周期大于某个临界值时,害虫灭绝周期解失去稳定性,出现了新的正周期解.在一定条件下,利用脉冲微分方程的比较原理证明了系统的一致持久性.更多还原

【Abstract】 A two predator-two cooperative prey model with impulsive effect and Beddington-DeAngelis functional response for the predator is investigated.By using the Floquet theory of impulsive differential equation and small amplitude perturbation skills,we obtained a set of sufficient conditions,which guarantee the local asymptotic stability of pest-eradication periodic solution.When the impulsive period beyonds some critical value,the pest-eradication periodic solution loses its stability and a new positive periodic solution appears.Further,by using the comparison theorem of impulsive differential equation,the permanence of the system is proved under some appropriate conditions.更多还原