Presentation 2005-01-24
On a Representation of Population Distribution Using a Two-Sex Model Based on Reaction-Diffusion Equations Systems
Kenichi YUKUMATSU, Suguru MATSUMOTO, Yoshinori MATSUURA, Tomoo INOUE,
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Abstract(in English) Mathematical modeling of nonlinear phenomena is effective in understanding their principles, and many mathematical models of organic phenomena with systems of reaction-diffusion equations have particularly presented [2]-[4]. In this paper, we propose a population dynamics model to which the diffusion coefficient for the diffusive motion and chemotaxis in the model of Escherichia coli [2] is applied, and show that the model can represent such phenomena peculiar to population dynamics such as depopulation, overpopulation and hollowing-out effect. Applying the proposed model to the two-sex population dynamics model [5], [6], we also show a case study of population dynamics based on the extended two-sex mode by numerical simulation.
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Keyword(in English) two-sex model of population dynamics / reaction-diffusion equations systems / numerical simulation
Paper # NLP2004-98
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Committee NLP
Conference Date 2005/1/17(1days)
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Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) On a Representation of Population Distribution Using a Two-Sex Model Based on Reaction-Diffusion Equations Systems
Sub Title (in English)
Keyword(1) two-sex model of population dynamics
Keyword(2) reaction-diffusion equations systems
Keyword(3) numerical simulation
1st Author's Name Kenichi YUKUMATSU
1st Author's Affiliation Graduate School of Information Science, Hiroshima City University()
2nd Author's Name Suguru MATSUMOTO
2nd Author's Affiliation Graduate School of Information Science, Hiroshima City University
3rd Author's Name Yoshinori MATSUURA
3rd Author's Affiliation Faculty of Information Science, Hiroshima City University
4th Author's Name Tomoo INOUE
4th Author's Affiliation Faculty of Information Science, Hiroshima City University
Date 2005-01-24
Paper # NLP2004-98
Volume (vol) vol.104
Number (no) 583
Page pp.pp.-
#Pages 6
Date of Issue