Singular Lagrangian, Hamiltonization and Jacobi last multiplier for certain biological systems

Partha Guha; Anindya Ghose Choudhury

doi:10.1140/epjst/e2013-01867-2

Singular Lagrangian, Hamiltonization and Jacobi last multiplier for certain biological systems

Partha Guha, Anindya Ghose Choudhury

Mathematics

Surendranath College

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We study the construction of singular Lagrangians using Jacobi's last multiplier (JLM). We also demonstrate the significance of the last multiplier in Hamiltonian theory by explicitly constructing the Hamiltonian of the Host-Parasite model and a Lotka-Volterra mutualistic system, both of which are well known first-order systems of differential equations arising in biology.

Original language	British English
Pages (from-to)	615-624
Number of pages	10
Journal	European Physical Journal: Special Topics
Volume	222
Issue number	3-4
DOIs	https://doi.org/10.1140/epjst/e2013-01867-2
State	Published - Sep 2013

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abstract = "We study the construction of singular Lagrangians using Jacobi's last multiplier (JLM). We also demonstrate the significance of the last multiplier in Hamiltonian theory by explicitly constructing the Hamiltonian of the Host-Parasite model and a Lotka-Volterra mutualistic system, both of which are well known first-order systems of differential equations arising in biology.",

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AB - We study the construction of singular Lagrangians using Jacobi's last multiplier (JLM). We also demonstrate the significance of the last multiplier in Hamiltonian theory by explicitly constructing the Hamiltonian of the Host-Parasite model and a Lotka-Volterra mutualistic system, both of which are well known first-order systems of differential equations arising in biology.

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JO - European Physical Journal: Special Topics

JF - European Physical Journal: Special Topics

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Singular Lagrangian, Hamiltonization and Jacobi last multiplier for certain biological systems

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