DYNAMICS OF POPULATIONS SUBJECT TO SELECTIVE HARVEST: UNIQUENESS, STABILITY, AND PERIODIC BEHAVIOUR.

Anthony S.T. Chiang, Robert W. Thompson

研究成果: 雜誌貢獻期刊論文同行評審

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 M. E. Gurtin and R. C. MacCamy, that no periodic solution exists for systems having an age-dependent maternity function and a density-dependent removal function.

原文???core.languages.en_GB???
頁(從 - 到)295-302
頁數8
期刊Journal of the Chinese Institute of Chemical Engineers
17
發行號5
出版狀態已出版 - 9月 1986

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