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 and it is shown how they complement Hadeler and Castillo-Chavez's qualitative analysis.
Application of Lie group analysis to a core group model for sexually transmitted diseases
NUCCI, Maria Clara
2006-01-01
Abstract
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 and it is shown how they complement Hadeler and Castillo-Chavez's qualitative analysis.File in questo prodotto:
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