Optimal death strategy of animal populations

Yoh Iwasa

研究成果: Contribution to journalArticle査読

4 被引用数 (Scopus)


Using Pontryagin's maximum principle, the optimal death strategy that maximizes the total reproduction of a population, which has the density dependent growth rate and the weight dependent reproduction, is investigated. As the result, it is shown that the optimal survival curve has a critical age, before which the mortality takes the highest admissible value and after which the lowest. In a population with this optimal death strategy, the change of resource level affects the length of the stage of high mortality. The switching age is explicitly calculated in a special case with a simple growth rate function and a simple weight dependence of reproduction. The average value of mortality or growth coefficient through the prereproductive stages are calculated and compared with the Le Cren's data, where trout was reared in varying resource levels.

ジャーナルJournal of Theoretical Biology
出版ステータス出版済み - 6 20 1978

All Science Journal Classification (ASJC) codes

  • 統計学および確率
  • 医学(全般)
  • モデリングとシミュレーション
  • 生化学、遺伝学、分子生物学(全般)
  • 免疫学および微生物学(全般)
  • 農業および生物科学(全般)
  • 応用数学


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