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: ジャーナルへの寄稿記事

1 引用 (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.

元の言語英語
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
発行部数2
出版物ステータス出版済み - 10 1 2009

Fingerprint

predators
predator-prey relationships

All Science Journal Classification (ASJC) codes

  • Biotechnology
  • Agronomy and Crop Science

これを引用

Shimojo, M., Shao, T., Ishiwaka, R., Tanoue, J., Kakihara, H., Sata, C., ... Masuda, Y. (2009). A preliminary investigation into dynamics of Lotka-Volterra equation. Journal of the Faculty of Agriculture, Kyushu University, 54(2), 365-367.

A preliminary investigation into dynamics of Lotka-Volterra equation. / Shimojo, Masataka; Shao, Tao; Ishiwaka, Reiko; Tanoue, Jun; Kakihara, Hidetoshi; Sata, Chiemi; Fukudome, Hayato; Asano, Yoki; Nakano, Yutaka; Tobisa, Manabu; Masuda, Yasuhisa.

:: Journal of the Faculty of Agriculture, Kyushu University, 巻 54, 番号 2, 01.10.2009, p. 365-367.

研究成果: ジャーナルへの寄稿記事

Shimojo, M, Shao, T, Ishiwaka, R, Tanoue, J, Kakihara, H, Sata, C, Fukudome, H, Asano, Y, Nakano, Y, Tobisa, M & Masuda, Y 2009, 'A preliminary investigation into dynamics of Lotka-Volterra equation', Journal of the Faculty of Agriculture, Kyushu University, 巻. 54, 番号 2, pp. 365-367.
Shimojo M, Shao T, Ishiwaka R, Tanoue J, Kakihara H, Sata C その他. A preliminary investigation into dynamics of Lotka-Volterra equation. Journal of the Faculty of Agriculture, Kyushu University. 2009 10 1;54(2):365-367.
Shimojo, Masataka ; Shao, Tao ; Ishiwaka, Reiko ; Tanoue, Jun ; Kakihara, Hidetoshi ; Sata, Chiemi ; Fukudome, Hayato ; Asano, Yoki ; Nakano, Yutaka ; Tobisa, Manabu ; Masuda, Yasuhisa. / A preliminary investigation into dynamics of Lotka-Volterra equation. :: Journal of the Faculty of Agriculture, Kyushu University. 2009 ; 巻 54, 番号 2. pp. 365-367.
@article{f24f593548124af38ce6adc6542de719,
title = "A preliminary investigation into dynamics of Lotka-Volterra equation",
abstract = "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.",
author = "Masataka Shimojo and Tao Shao and Reiko Ishiwaka and Jun Tanoue and Hidetoshi Kakihara and Chiemi Sata and Hayato Fukudome and Yoki Asano and Yutaka Nakano and Manabu Tobisa and Yasuhisa Masuda",
year = "2009",
month = "10",
day = "1",
language = "English",
volume = "54",
pages = "365--367",
journal = "Journal of the Faculty of Agriculture, Kyushu University",
issn = "0023-6152",
publisher = "Faculty of Agriculture, Kyushu University",
number = "2",

}

TY - JOUR

T1 - A preliminary investigation into dynamics of Lotka-Volterra equation

AU - Shimojo, Masataka

AU - Shao, Tao

AU - Ishiwaka, Reiko

AU - Tanoue, Jun

AU - Kakihara, Hidetoshi

AU - Sata, Chiemi

AU - Fukudome, Hayato

AU - Asano, Yoki

AU - Nakano, Yutaka

AU - Tobisa, Manabu

AU - Masuda, Yasuhisa

PY - 2009/10/1

Y1 - 2009/10/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=70450194249&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70450194249&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:70450194249

VL - 54

SP - 365

EP - 367

JO - Journal of the Faculty of Agriculture, Kyushu University

JF - Journal of the Faculty of Agriculture, Kyushu University

SN - 0023-6152

IS - 2

ER -