Mathematical studies on human disease dynamics : emerging paradigms and challenges : AMS-IMS-SIAM Joint Summer Research Conference on Modeling the Dynamics of Human Diseases, Emerging Paradigms and Challenges, July 17-21, 2005, Snowbird, Utah

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Mathematical studies on human disease dynamics : emerging paradigms and challenges : AMS-IMS-SIAM Joint Summer Research Conference on Modeling the Dynamics of Human Diseases, Emerging Paradigms and Challenges, July 17-21, 2005, Snowbird, Utah

Abba B. Gumel, editor-in-chief ; Carlos Castillo-Chavez, Ronald E. Mickens, Dominic P. Clemence, editors

(Contemporary mathematics, 410)

American Mathematical Society, c2006

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Includes bibliographical reference

内容説明・目次

内容説明

This volume contains the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Modeling the Dynamics of Human Diseases: Emerging Paradigms and Challenges, held in Snowbird, Utah, July 17-21, 2005. The goal of the conference was to bring together leading and upcoming researchers to discuss the latest advances and challenges associated with the modeling of the dynamics of emerging and re-emerging diseases, and to explore various control strategies. The articles included in this book are devoted to some of the significant recent advances, trends, and challenges associated with the mathematical modeling and analysis of the dynamics and control of some diseases of public health importance.In addition to illustrating many of the diverse prevailing epidemiological challenges, together with the diversity of mathematical approaches needed to address them, this book provides insights on a number of topical modeling issues such as the modeling and control of mosquito-borne diseases, respiratory diseases, animal diseases (such as foot-and-mouth disease), cancer and tumor growth modeling, influenza, HIV, HPV, rotavirus, etc. This book also touches upon other important topics such as the use of modeling in homeland security and some review and new results on various modeling paradigms including network, stochastic and deterministic formulations together with the use of optimal control and related methods for evaluating control strategies.

目次

The impact of environmental variation on hantavirus infection in rodents by L. J. S. Allen, E. J. Allen, and C. B. Jonsson Preventive treatment of tuberculosis through contact tracing by J. P. Aparicio and J. C. Hernandez Optimal vaccination strategies for an influenza-like illness in a heterogeneous population by C. Bowman and A. Gumel Mathematical applications associated with the deliberate release of infectious agents by G. Chowell, A. Cintron-Arias, S. Del Valle, F. Sanchez, B. Song, J. M. Hyman, H. W. Hethcote, and C. Castillo-Chavez Critical response to post-outbreak vaccination against foot-and-mouth disease by G. Chowell, A. L. Rivas, N. W. Hengartner, J. M. Hyman, and C. Castillo-Chavez Some promising approaches to tumor-immune modeling by L. G. de Pillis and A. E. Radunskaya Impact of prophylactic vaccination against human papillomavirus infection by E. H. Elbasha Population dynamics of developmental deficits due to an environmental neurotoxicant by T. J. Emerson Optimal therapy regimens for treatment-resistant mutations of HIV by W. Gu and H. Moore Cancer modeling: A perspective on what's new and what's next by T. L. Jackson, R. Ashkenazi, S. Heusel, and H. V. Jain Understanding a killer: A predictive model for tumor development by Y. Jiang Optimal control methods applied to disease models by H. R. Joshi, S. Lenhart, M. Y. Li, and L. Wang Infection dynamics on small-world networks by A. L. Lloyd, S. Valeika, and A. Cintron-Arias Moving beyond averages: Individual-level variation in disease transmission by J. O. Lloyd-Smith, S. J. Schreiber, and W. M. Getz Models for the spread of HIV/AIDS: Trends in Southern Africa by E. M. Lungu, M. Kgosimore, and F. Nyabadza Application of NSFD methods to the numerical integration of bio-sciences differential equation models by R. E. Mickens Epidemic spread in populations at demographic equilibrium by K.R. Rios-Soto, C. Castillo-Chavez, M. G. Neubert, E. S. Titi, and A.-A. Yakubu Models for Dengue transmission and control by F. Sanchez, M. Engman, L. Harrington, and C. Castillo-Chavez Seasonality of rotavirus infection with its vaccination by E. Shim, H. T. Banks, and C. Castillo-Chavez Current research issues in mosquito-borne diseases modeling by C. J. Struchiner, P. M. Luz, C. T. Codeco, F. C. Coelho, and E. Massad The role of transactional sex in spreading HIV in Nigeria by S. Tennenbaum, T. G. Kassem, S. Roudenko, and C. Castillo-Chavez.

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