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Nonlinear Host-Parasite Models

  • James H. Matis
  • Thomas R. Kiffe
Part of the Lecture Notes in Statistics book series (LNS, volume 145)

Abstract

Modeling the dynamics of interacting species is central in ecological theory, and there is a vast literature describing deterministic and stochastic models for such interactions (see e.g. [65, 66, 69, 73, 80]). A number of classic models for competition between multiple species and for host-parasite (and predator-prey) relationships have been formulated and widely investigated. This chapter investigates just one of these models, a modified Volterra host-parasite model, to illustrate the application of the methodology outlined in Chapter 9 which focuses on the underlying cumulant structure of the stochastic model.

Keywords

Mite Population Deterministic Solution Saddlepoint Approximation Cumulant Function Varroa Mite 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York, Inc. 2000

Authors and Affiliations

  • James H. Matis
    • 1
  • Thomas R. Kiffe
    • 2
  1. 1.Department of StatisticsTexas A&M UniversityCollege StationUSA
  2. 2.Department of MathematicsTexas A&M UniversityCollege StationUSA

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