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no. 1213 (2003) >

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Title  :  On the PredatorPrey Dynamics : Considering the Agedependent Outlivability of the Prey 
Authors  :  小森, 尚志 平田, 桂一 佐藤, 大輔 伊藤, 元貴 
Issue Date  :  28Feb2003 
citation  :  岐阜大学地域科学部研究報告 AA11187587 12 1 8 
Abstract  :  A mathematical model is presented to simulate how the population dynamics of a predatorprey system depends on the prey outlivability distribution due to age difference. The prey population is described by a LotkaVolterra equation govering the time evolution of the age density; the equation is so formulated as to take account of the agedependent divergence in the birth/death potential and in the level of predation by the predator. The time evolution of the predator population is modelled by a logistic equation. Numerical simulation reveals that the system given an initial condition far from the equilibrium (EQ) arrives at the EQ via two restoration stages; in the one which finishes almost in a short time approximate to the maximum life span of the prey species, the density of prey age tends to assume a profile analogous to that at the EQ though the total population is still greatly distant from the EQ value, and in the other stage, for both species the total population approaches its EQ exponentially with a time constant greater than that of the preceding stage. 
Type Local  :  紀要論文 
ISSN  :  13428268 
URI  :  http://hdl.handle.net/20.500.12099/4521 
Appears in Collections  :  no. 1213 (2003)


