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＜departmental bulletin paper＞
A Preliminary Investigation into Dynamics of Lotka-Volterra Equation

Creator
Author PID
K001569
Creator Name
Shimojo, Masataka
下條, 雅敬
Affiliation
Affiliation Name
Laboratory of Animal Feed Science, Division of Animal Science, Department of Animal and Marine Bioresource Sciences, Faculty of Agriculture, Kyushu University
九州大学大学院農学研究院動物資源科学部門家畜生産学講座飼料学研究室
Creator Name
Shao, Tao
Affiliation
Affiliation Name
Department of Grassland and Forage Science, College of Animal Sciences and Technology, Nanjing Agricultural University
Author PID
L004086
Creator Name
Ishiwaka, Reiko
石若, 礼子
Affiliation
Affiliation Name
Collaborative Research Scientist, Faculty of Agriculture, Kyushu University
九州大学農学部
Author PID
L000403
Creator Name
Tanoue, Jun
田上, 潤
Affiliation
Affiliation Name
Laboratory of Animal Feed Science, Graduate School of Bioresource and Bioenvironmental Sciences, Kyushu University
九州大学生物資源環境科学府飼料学研究室
Author PID
L003759
Creator Name
Kakihara, Hidetoshi
柿原, 秀俊
Affiliation
Affiliation Name
Laboratory of Animal Feed Science, Graduate School of Bioresource and Bioenvironmental Sciences, Kyushu University
九州大学生物資源環境科学府飼料学研究室
Author PID
L002922
Creator Name
Sata, Chiemi
佐田, 千絵美
Affiliation
Affiliation Name
Laboratory of Animal Feed Science, Graduate School of Bioresource and Bioenvironmental Sciences, Kyushu University
九州大学生物資源環境科学府飼料学研究室
Author PID
L001448
Creator Name
Fukudome, Hayato
福留, 隼人
Affiliation
Affiliation Name
Laboratory of Animal Feed Science, Graduate School of Bioresource and Bioenvironmental Sciences, Kyushu University
九州大学生物資源環境科学府飼料学研究室
Creator Name
Asano, Yoki
Affiliation
Affiliation Name
Employed Research Scientist, Miyazaki University
Author PID
K001674
Creator Name
Nakano, Yutaka
中野, 豊
Affiliation
Affiliation Name
University Farm, Faculty of Agriculture, Kyushu University
九州大学農学部附属農場
Creator Name
Tobisa, Manabu
Affiliation
Affiliation Name
Faculty of Agriculture, Miyazaki University
Author PID
K001529
Creator Name
Masuda, Yasuhisa
Affiliation
Affiliation Name
Emeritus Professor of Kyushu University
Language
English
Publisher
Faculty of Agriculture, Kyushu University
九州大学大学院農学研究院
Date
2009-10-29
Source Title
Journal of the Faculty of Agriculture, Kyushu University
Vol
54
Issue
2
First Page
365
Last Page
367
Publication Type
Version of Record
Access Rights
open access
Crossref DOI
https://doi.org/10.5109/16117
Related DOI
Journal of the Faculty of Agriculture, Kyushu University || 54(2) || p365-367
九州大学大学院農学研究院紀要 || 54(2) || p365-367
http://www.agr.kyushu-u.ac.jp/
Related URI
Journal of the Faculty of Agriculture, Kyushu University || 54(2) || p365-367
九州大学大学院農学研究院紀要 || 54(2) || p365-367
http://www.agr.kyushu-u.ac.jp/
Relation
Journal of the Faculty of Agriculture, Kyushu University || 54(2) || p365-367
九州大学大学院農学研究院紀要 || 54(2) || p365-367
http://www.agr.kyushu-u.ac.jp/

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pdf 54_2_p365 pdf 454 KB 361  

Details

PISSN
0023-6152
NCID
AA00697606
Record ID
16117
Peer-Reviewed
Unrefereed
ISSN
0023-6152
NCID
AA00697606
Notes
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 -$ \beta $ and change rate of the number of predators. (2) Change acceleration of the number of predators per predator was higher than the product of $ delta $ 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.
Created Date 2010.01.08
Modified Date 2022.11.11

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