Application of Lie group analysis to a core group model for sexually transmitted diseases

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Application of Lie group analysis to a core group model for sexually transmitted diseases

Lie group analysis is applied to a core group model for sexually transmitted disease formulated by Hadeler and Castillo-Chavez [Hadeler K P and Castillo-Chavez C, A core group model for disease transmission, Math. Biosci. 128 (1995), 41–55]. Several instances of integrability even linearity are found which lead to the general solution of the model. A discussion of such solutions is presented an...

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Core group approach to identify college students at risk for sexually transmitted infections.

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Application of Lie group analysis to functional differential equations

In the present paper the classical point symmetry analysis is extended from partial differential to functional differential equations with functional derivatives. In order to perform the group analysis and deal with the functional derivatives we extend the quantities such as infinitesimal transformations, prolongations and invariant solutions. For the sake of example the procedure is applied to...

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On a Graph-Based Model for Simulating Sexually Transmitted Diseases

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ژورنال

عنوان ژورنال: Journal of Nonlinear Mathematical Physics

سال: 2006

ISSN: 1776-0852

DOI: 10.2991/jnmp.2006.13.2.6