A mathematical model of a predator-prey model with Ivlev’s functional response concerning integrated pest management (IPM) is proposed and analyzed. We show that there exists a stable pest-eradication periodic soluti...A mathematical model of a predator-prey model with Ivlev’s functional response concerning integrated pest management (IPM) is proposed and analyzed. We show that there exists a stable pest-eradication periodic solution when the impulsive period is less than some critical values. Further more, the conditions for the permanence of the system are given. By using bifurcation theory, we show the existence and stability of a positive periodic solution. These results are quite different from those of the corresponding system without impulses. Numerical simulation shows that the system we consider has more complex dynamical behaviors. Finally, it is proved that IPM stragey is more effective than the classical one.展开更多
A mathematical model for the dynamics of a prey-dependent consumption model concerning integrated pest management is proposed and analyzed. We show that there exists a globally stable pesteradication periodic solution...A mathematical model for the dynamics of a prey-dependent consumption model concerning integrated pest management is proposed and analyzed. We show that there exists a globally stable pesteradication periodic solution when the impulsive period is less than some critical values. Furthermore, the conditions for the permanence of the system are given. By using bifurcation theory, we show the existence of a nontrival periodic solution if the pest-eradication periodic solution loses its stability. When the unique positive periodic solution loses its stability, numerical simulation shows there is a characteristic sequence of bifurcations, leading to a chaotic dynamics, which implies that dynamical behaviors of prey-dependent consumption concerning integrated pest management are very complex, including period-doubling cascades, chaotic bands with periodic windows, crises, symmetry-breaking bifurcations and supertransients.展开更多
白蚁是一种古老的社会性害虫,主要以植物或木材的纤维素及半纤维素为食,对木结构建筑有着极大的危害。木结构古建筑是人类历史发展的文化沉淀和智慧的结晶,保护好木结构古建筑不受白蚁危害有着极大的现实意义。在白蚁防治的诸多方法中,...白蚁是一种古老的社会性害虫,主要以植物或木材的纤维素及半纤维素为食,对木结构建筑有着极大的危害。木结构古建筑是人类历史发展的文化沉淀和智慧的结晶,保护好木结构古建筑不受白蚁危害有着极大的现实意义。在白蚁防治的诸多方法中,目前最受人青睐的是白蚁的综合防治技术,从有害生物综合防治(Integrated Pest Management,简称IPM)原理发展而来,也称为白蚁防治的IPM策略。文章通过对白蚁防治IPM技术的研究和调查,具体分析了白蚁种类及源头调查、物理屏障、土壤屏障、木材处理、监测—诱杀技术等一系列技术应用于木结构古建筑白蚁防治中的实施策略,以期推动白蚁防治IPM技术在古建筑保护中的使用,将白蚁治理的经济阈值控制到最低甚至为零,为木结构古建筑白蚁防治提供一些可参考的建议。展开更多
基金Supported by National Natural Science Foundation of China (No.10171106)
文摘A mathematical model of a predator-prey model with Ivlev’s functional response concerning integrated pest management (IPM) is proposed and analyzed. We show that there exists a stable pest-eradication periodic solution when the impulsive period is less than some critical values. Further more, the conditions for the permanence of the system are given. By using bifurcation theory, we show the existence and stability of a positive periodic solution. These results are quite different from those of the corresponding system without impulses. Numerical simulation shows that the system we consider has more complex dynamical behaviors. Finally, it is proved that IPM stragey is more effective than the classical one.
基金This work is supported by National Natural Science Foundation of China (10171106)supported by ScienceResearch Project Foundation of Liaoning Province Education Department
文摘A mathematical model for the dynamics of a prey-dependent consumption model concerning integrated pest management is proposed and analyzed. We show that there exists a globally stable pesteradication periodic solution when the impulsive period is less than some critical values. Furthermore, the conditions for the permanence of the system are given. By using bifurcation theory, we show the existence of a nontrival periodic solution if the pest-eradication periodic solution loses its stability. When the unique positive periodic solution loses its stability, numerical simulation shows there is a characteristic sequence of bifurcations, leading to a chaotic dynamics, which implies that dynamical behaviors of prey-dependent consumption concerning integrated pest management are very complex, including period-doubling cascades, chaotic bands with periodic windows, crises, symmetry-breaking bifurcations and supertransients.
文摘白蚁是一种古老的社会性害虫,主要以植物或木材的纤维素及半纤维素为食,对木结构建筑有着极大的危害。木结构古建筑是人类历史发展的文化沉淀和智慧的结晶,保护好木结构古建筑不受白蚁危害有着极大的现实意义。在白蚁防治的诸多方法中,目前最受人青睐的是白蚁的综合防治技术,从有害生物综合防治(Integrated Pest Management,简称IPM)原理发展而来,也称为白蚁防治的IPM策略。文章通过对白蚁防治IPM技术的研究和调查,具体分析了白蚁种类及源头调查、物理屏障、土壤屏障、木材处理、监测—诱杀技术等一系列技术应用于木结构古建筑白蚁防治中的实施策略,以期推动白蚁防治IPM技术在古建筑保护中的使用,将白蚁治理的经济阈值控制到最低甚至为零,为木结构古建筑白蚁防治提供一些可参考的建议。
