Differential Equations Models in Biology, Epidemiology and Ecology

Proceedings of a Conference held in Claremont California, January 13–16, 1990

Editors:

ISBN: 978-3-540-54283-4 (Print) 978-3-642-45692-3 (Online)

Table of contents (20 chapters)

  1. Front Matter

    Pages N2-5

  2. Mathematical Biology

    1. Front Matter

      Pages 7-7

    2. No Access

      Book Chapter

      Pages 9-15

      The Problem of Relevant Detail

    3. No Access

      Book Chapter

      Pages 16-27

      Lifespans in Population Models: Using Time Delays

    4. No Access

      Book Chapter

      Pages 28-33

      Convergence to Equilibria in General Models of Unilingual-Bilingual Interactions

    5. No Access

      Book Chapter

      Pages 34-53

      The Sherman-Rinzel-Keizer Model for Bursting Electrical Activity in the Pancreatic β-Cell

  3. Epidemiology

    1. Front Matter

      Pages 55-55

    2. No Access

      Book Chapter

      Pages 57-69

      Models for the Spread of Universally Fatal Diseases II

    3. No Access

      Book Chapter

      Pages 70-79

      Nonexistence of Periodic Solutions for a Class of Epidemiological Models

    4. No Access

      Book Chapter

      Pages 80-98

      On the Solution of the Two-Sex Mixing Problem

    5. No Access

      Book Chapter

      Pages 99-120

      Modelling the Effects of Screening in HIV Transmission Dynamics

    6. No Access

      Book Chapter

      Pages 121-138

      An S→E→I Epidemic Model with Varying Population Size

    7. No Access

      Book Chapter

      Pages 139-158

      Stability Change of the Endemic Equilibrium in Age-Structured Models for the Spread of S—I—R Type Infectious Diseases

  4. Ecology and Population Dynamics

    1. Front Matter

      Pages 159-159

    2. No Access

      Book Chapter

      Pages 161-176

      Mathematical Model for the Dynamics of a Phytoplankton Population

    3. No Access

      Book Chapter

      Pages 177-188

      Some Delay Models for Juvenile vs. Adult Competition

    4. No Access

      Book Chapter

      Pages 189-199

      McKendrick Von Foerster Models for Patch Dynamics

    5. No Access

      Book Chapter

      Pages 200-209

      Generic Failure of Persistence and Equilibrium Coexistence in a Model of m-species Competition in an n-vessel Gradostat when m > n

    6. No Access

      Book Chapter

      Pages 210-218

      Boundedness of Solutions in Neutral Delay Predator-Prey and Competition Systems

    7. No Access

      Book Chapter

      Pages 219-234

      Some Examples of Nonstationary Populations of Constant Size

    8. No Access

      Book Chapter

      Pages 235-246

      Coexistence in Competition-Diffusion Systems

    9. No Access

      Book Chapter

      Pages 247-256

      Population Interactions with Growth Rates Dependent on Weighted Densities

    10. No Access

      Book Chapter

      Pages 257-267

      Global Stability in a Population Model with Dispersal and Stage Structure

  5. Erratum

    1. No Access

      Book Chapter

      Pages 269-269

      Erratum

  6. Back Matter

    Pages 271-273