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A stochastic approach to predator-prey models

✍ Scribed by Stephen C. Smeach; Albert Rust

Publisher
Springer
Year
1978
Tongue
English
Weight
619 KB
Volume
40
Category
Article
ISSN
1522-9602

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✦ Synopsis

A deterministic investigation of a lineal differential equation system which describes predator vs prey behavior as a function of equilibrium densities and reproductive rates is given. A more realistic structure of this model in a stochastic fiamework is presented. The reproductive rates and initial population sizes are considered to be random variables and their probabilistic behavior characterized by various joint probability distributions. The deterministic behaviors of the prey and predator species as functions of time are compared with the mean behaviors in the stochastic model.

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