A preliminary investigation into dynamics of Lotka-Volterra equation

Masataka Shimojo, Tao Shao, Reiko Ishiwaka, Jun Tanoue, Hidetoshi Kakihara, Chiemi Sata, Hayato Fukudome, Yoki Asano, Yutaka Nakano, Manabu Tobisa, Yasuhisa Masuda

研究成果: Contribution to journalArticle査読

1 被引用数 (Scopus)

抄録

This study was conducted to investigate dynamics of Lotka-Volterra equation by introducing the second derivative for change acceleration in the number of predators and prey. Lotka-Volterra equation gives a simple model to the analysis of predator-prey relationships. The results obtained were as follows. Introducing the second derivative into Lotka-Volterra equation gave the square of change rate of the number of predators and that of prey. Since the square of change rate gave positive value, the following two inequalities were given. (1) Change acceleration of the number of prey per prey was higher than the product of -β and change rate of the number of predators. (2) Change acceleration of the number of predators per predator was higher than the product of 5 and change rate of the number of prey. These two might be related to the change in the number of predators and prey. It was suggested from the present study that investigating dynamics of Lotka-Volterra equation gave inequalities showing some change aspects of predator-prey relationships.

本文言語英語
ページ(範囲)365-367
ページ数3
ジャーナルJournal of the Faculty of Agriculture, Kyushu University
54
2
出版ステータス出版済み - 10 1 2009

All Science Journal Classification (ASJC) codes

  • Biotechnology
  • Agronomy and Crop Science

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