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題 名 | Dynamics of Populations Subject to Selective Harvest:Uniqueness, Stability, and Periodic Behaviour=在選擇性移出個體下之自生群體動態 |
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作 者 | 蔣孝澈; | 書刊名 | Journal of the Chinese Institute of Chemical Engineers |
卷 期 | 17:5 1986.09[民75.09] |
頁 次 | 頁295-302 |
分類號 | 460.02 |
關鍵詞 | 自生; 個體; 動態; 移出; 群體; 選擇性; |
語 文 | 英文(English) |
中文摘要 | 樹林,漁場,結晶,乳膠等系統,皆可以群體平衡式來模擬。一自生性群體可繁延後代,若同時移出部份個體似可達一穩定狀態。然而如伐木漁網或成晶等,其移出之個體皆經選擇。本文證明如此情況下,並無單一之穩定平衡狀態。同時若移出函數非周期性,群體亦無周期性動態。若生殖力為個體年齡之函數而移出率為群體密度函數,則無周期解。 |
英文摘要 | We develop here the criteria for the existence and uniqueness of steady state points, stability of the steady states, and the possibility of periodic behavior of a population, which is governed by a known age-dependent specific reproduction function, and an externally controlled age-dependent removal function. In general, it appears that uniqueness of the steady state is not guaranteed, the steady state points are metastable, and periodicity can arise only if the removal function is periodic or if the removal and maternity functions are periodic. Lastly we prove the conclusion, previously conjectured by Gurtin and MacCamy, that no periodic solution exists for systems having an age-dependent maternity function and a density-dependent removal function. |
本系統中英文摘要資訊取自各篇刊載內容。