Nonlinear Host-Parasite Models

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


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.


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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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