A stage structured predator-prey model and its dependence on maturation delay and death rate
A stage structured predator-prey model and its dependence on maturation delay and death rate
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DOI：
10.1007/s00285-004-0278-2
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发表时间：
2004-08-01
影响因子：
1.9
通讯作者：
Kuang, Y
中科院分区：
文献类型：
--
作者：
Gourley, SA;Kuang, Y
Many of the existing models on stage structured populations are single species models or models which assume a constant resource supply. In reality, growth is a combined result of birth and death processes, both of which are closely linked to the resource supply which is dynamic in nature. From this basic standpoint, we formulate a general and robust predator-prey model with stage structure with constant maturation time delay (through-stage time delay) and perform a systematic mathematical and computational study. Our work indicates that if the juvenile death rate (through-stage death rate) is nonzero, then for small and large values of maturation time delays, the population dynamics takes the simple form of a globally attractive steady state. Our linear stability work shows that if the resource is dynamic, as in nature, there is a window in maturation time delay parameter that generates sustainable oscillatory dynamics.
