DYNAMICS OF HOST-PARASITE HYPERPARASITE INTERACTIONS
DYNAMICS OF HOST-PARASITE HYPERPARASITE INTERACTIONS
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DOI：
10.2307/3642
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发表时间：
1977-01-01
影响因子：
4.8
通讯作者：
HAMMOND, PS
中科院分区：
文献类型：
--
作者：
BEDDINGTON, JR;HAMMOND, PS
提出了一个数学模型，其目的是描述的草食性宿主的相互作用，寄生的初级寄生虫，而发展本身受到寄生的次级寄生虫。确定了这种相互作用的重要参数，并记录了它们对系统的可行性和稳定性的影响。某些参数的组合允许主机-主系统和主机-主-辅系统具有局部稳定的平衡。在这种情况下，引入一个二级总是导致3个物种。达到平衡。注意到与生物防治有关的两种效应。在主-主系统稳定的地方，次级系统总是会削弱对主系统的有效控制。当宿主-原生系统显示振荡时，引入次生系统可能会导致稳定的3种物种。均衡参数空间的范围允许稳定的3个spp。与2种植物相比，平衡较小。系统A3种在次级效率超过初级效率的地方，最容易生产这种系统。
A mathematical model is proposed which purports to describe the interaction of a herbivorous host parasitized by a primary parasite which while developing is itself subject to parasitism by the secondary parasite. The important parameters for this interaction are identified and their effect on the feasibility and stability of the system documented. Certain combinations of parameters permit both a host-primary and a host-primary-secondary system to have a locally stable equilibrium. Where this occurs the introduction of a secondary always resulted in the 3 spp. equilibrium being attained. Two effects are noted that are relevant for biological control. Where the host-primary system is stable a secondary will always weaken effective control of the host. Where the host-primary system displays oscillations introduction of a secondary may result in a stable 3 spp. equilibrium. The range of parameter space allowing a stable 3 spp. equilibrium is small compared with that of the 2 spp. system. A 3 spp. system is most easily produced where secondary efficiency exceeds that of the primary.