Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model

Authors:

ISBN: 978-3-642-20529-3 (Print) 978-3-642-20530-9 (Online)

Table of contents (15 chapters)

  1. Front Matter

    Pages i-xi

  2. No Access

    Book Chapter

    Pages 1-7

    Introduction

  3. No Access

    Book Chapter

    Pages 9-16

    Model Formulation

  4. No Access

    Book Chapter

    Pages 17-40

    Stochastic Process Background

  5. No Access

    Book Chapter

    Pages 41-46

    The SIS Model: First Approximations of the Quasi-stationary Distribution

  6. No Access

    Book Chapter

    Pages 47-72

    Some Approximations Involving the Normal Distribution

  7. No Access

    Book Chapter

    Pages 73-91

    Preparations for the Study of the Stationary Distribution p(1) of the SIS Model

  8. No Access

    Book Chapter

    Pages 93-99

    Approximation of the Stationary Distribution p(1) of the SIS Model

  9. No Access

    Book Chapter

    Pages 101-113

    Preparations for the Study of the Stationary Distribution p(0) of the SIS Model

  10. No Access

    Book Chapter

    Pages 115-118

    Approximation of the Stationary Distribution p(0) of the SIS Model

  11. No Access

    Book Chapter

    Pages 119-139

    Approximation of Some Images Under Ψ for the SIS Model

  12. No Access

    Book Chapter

    Pages 141-147

    Approximation of the Quasi-stationary Distribution q of the SIS Model

  13. No Access

    Book Chapter

    Pages 149-154

    Approximation of the Time to Extinction for the SIS Model

  14. No Access

    Book Chapter

    Pages 155-170

    Uniform Approximations for the SIS Model

  15. No Access

    Book Chapter

    Pages 171-175

    Thresholds for the SIS Model

  16. No Access

    Book Chapter

    Pages 177-182

    Concluding Comments

  17. Back Matter

    Pages 183-199