Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods, and Theory

1. Front Matter

   Pages i-x

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2. New Directions in the Mathematics of Infectious Disease

   • Simon A. Levin

   Pages 1-5

3. Fred Brauer: The Man and His Mathematics

   • Christopher M. Kribs-Zaleta

   Pages 7-20

4. Kenneth L. Cooke: Researcher, Educator Par Excellence

   • P. Van Den Driessche

   Pages 21-30

5. Maximal Prevalence and the Basic Reproduction Number in Simple Epidemics

   • L. Esteva, K. P. Hadeler

   Pages 31-44

6. The Transition Through Stages with Arbitrary Length Distributions, and Applications in Epidemics

   • Horst R. Thieme

   Pages 45-84

7. Measles Outbreaks are not Chaotic

   • Ingemar Nåsell

   Pages 85-114

8. Epidemics Among a Population of Households

   • Frank G. Ball, Owen D. Lyne

   Pages 115-142

9. Infection Transmission Dynamics and Vaccination Program Effectiveness as a Function of Vaccine Effects in Individuals

   • Carl P. Simon, James S. Koopman

   Pages 143-155

10. The Influence of Different Forms of Cross-Protective Immunity on the Population Dynamics of Antigenically Diverse Pathogens

    • Neil Ferguson, Viggo Andreasen

    Pages 157-169

11. Dynamics of Multiple Strains of Infectious Agents Coupled by Cross-Immunity: A Comparison of Models

    • M. Gabriela M. Gomes, Graham F. Medley

    Pages 171-191

12. Virulence Evolution in Macro-Parasites

    • Andrea Pugliese

    Pages 193-213

13. Mathematical Models for Schistosomiasis with Delays and Multiple Definitive Hosts

    • Jianhong Wu, Zhilan Feng

    Pages 215-229

14. Infectious Disease Models with Chronological Age Structure and Epidemiological Age Structure

    • Fred Brauer

    Pages 231-243

15. Effects of Genetic Heterogeneity on HIV Transmission in Homosexual Populations

    • Shu-Fang Hsu Schmitz

    Pages 245-260

16. Age-Structured Core Group Model and its Impact on STD Dynamics

    • Carlos Castillo-Chavez, Wenzhang Huang

    Pages 261-273

17. Global Dynamics of Tuberculosis Models with Density Dependent Demography

    • Baojun Song, Carlos Castillo-Chavez, Juan P. Aparicio

    Pages 275-294

18. Global Stability in Some Seir Epidemic Models

    • Michael Y. Li, Liancheng Wang

    Pages 295-311

19. The Global Stability Analysis for an SIS Model with Age and Infection Age Structures

    • Yicang Zhou, Baojun Song, Zhien Ma

    Pages 313-335

20. Endemic Threshold and Stability in an Evolutionary Epidemic Model

    • Hisashi Inaba

    Pages 337-359

This IMA Volume in Mathematics and its Applications MATHEMATICAL APPROACHES FOR EMERGING AND REEMERGING INFECTIOUS DISEASES: MODELS, AND THEORY METHODS is based on the proceedings of a successful one week workshop. The pro­ ceedings of the two-day tutorial which preceded the workshop "Introduction to Epidemiology and Immunology" appears as IMA Volume 125: Math­ ematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction. The tutorial and the workshop are integral parts of the September 1998 to June 1999 IMA program on "MATHEMATICS IN BI­ OLOGY. " I would like to thank Carlos Castillo-Chavez (Director of the Math­ ematical and Theoretical Biology Institute and a member of the Depart­ ments of Biometrics, Statistics and Theoretical and Applied Mechanics, Cornell University), Sally M. Blower (Biomathematics, UCLA School of Medicine), Pauline van den Driessche (Mathematics and Statistics, Uni­ versity of Victoria), and Denise Kirschner (Microbiology and Immunology, University of Michigan Medical School) for their superb roles as organizers of the meetings and editors of the proceedings. Carlos Castillo-Chavez, es­ pecially, made a major contribution by spearheading the editing process. I am also grateful to Kenneth L. Cooke (Mathematics, Pomona College), for being one of the workshop organizers and to Abdul-Aziz Yakubu (Mathe­ matics, Howard University) for serving as co-editor of the proceedings. I thank Simon A. Levin (Ecology and Evolutionary Biology, Princeton Uni­ versity) for providing an introduction.

• HIV
• Schistosomiasis
• antigen
• emerging infectious
• infection
• infectious
• infectious disease
• infectious diseases
• vaccine

From the reviews:

"This two-volume set is based on a week-long workshop sponsored by the Institute of Mathematics and its Applications (the IMA) and held at the University of Minnesota in May 1999. … There is a lot of valuable work in this two-volume set which could meet the intended aim of introducing people to research-level mathematical epidemiology." (Geoff Aldis, UK Nonlinear News, November 2002)

• Mathematical and Theoretical Biology Institute and member, Departments of Biometrics, Statistics and Theoretical and Applied Mechanics, Cornell University, Ithaca, USA

  Carlos Castillo-Chavez

• Department of Biomathematics, UCLA School of Medicine, Los Angeles, USA

  Sally Blower

• Department of Math and Stats, University of Victoria, Victoria, Canada

  Pauline Driessche

• Dept. of Microbiology and Immunology, University of Michigan Medical School, Ann Arbor, USA

  Denise Kirschner

• Department of Mathematics Howard, Howard University, Washington, USA

  Abdul-Aziz Yakubu

• Biometrics Department, Cornell University, USA

  Abdul-Aziz Yakubu

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