STOCHASTIC ANALYSIS FOR THE DESCRIPTION AND SYNTHESIS OF PREDATORPREY SYSTEMS Academic Article uri icon

abstract

  • AbstractIn this paper, a stochastic analysis approach for predatorprey systems modeling is developed. The states of the system are assumed to have a natural probabilistic variation. Elements of queueing theory are used to describe these variations and to obtain both the transient and steady-state results for the system. The predator is considered analogous to a service facility and the prey as customers to be served. The Holling disk equation and mantidfly experiments are analyzed by this approach. The method provides a framework for a straightforward synthesis of the system components and is readily generalized for multiple predator systems. Furthermore, hunger and other behavioral aspects can be easily incorporated into the mathematical analysis.

published proceedings

  • The Canadian Entomologist

author list (cited authors)

  • Curry, G. L., & DeMichele, D. W.

citation count

  • 15

complete list of authors

  • Curry, Guy L||DeMichele, Don W

publication date

  • September 1977