Singularity Analysis and Integrability of a Simplified Multistrain Model for the Transmission of Tuberculosis and Dengue Fever
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We apply singularity analysis to a caricature of the simplified multistrain model of Castillo-Chavez and Feng (J Math Biol 35 (1997) 629–656) for the transmission of tuberculosis and the coupled two-stream vector-based model of Feng and Velasco- Hern ?andez (J Math Biol 35 (1997) 523–544) to identify values of the parameters for which the system of nonlinear first-order ordinary differential equations describing the model are integrable. A number of combinations of parameters for which the system is integrable are identified. We compare them with the results we obtained by a symmetry analysis in an earlier paper (J Math Anal Appl 333 (2007) 430-449.
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TY - JOUR AU - M.C. Nucci AU - P.G.L. Leach PY - 2008 DA - 2008/03/01 TI - Singularity Analysis and Integrability of a Simplified Multistrain Model for the Transmission of Tuberculosis and Dengue Fever JO - Journal of Nonlinear Mathematical Physics SP - 22 EP - 34 VL - 15 IS - 1 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2008.15.1.3 DO - 10.2991/jnmp.2008.15.1.3 ID - Nucci2008 ER -