Constant-Rate Stocking of Predator-Prey Systems.
Abstract
This report examines the qualitative effects of constant-rate stocking of either or both species in a predator-prey system. The hypotheses are made as mild as possible so that several types of systems with different qualitative alternatives may be studied. In previous work on predator-prey systems we have studied the effect of constant-rate harvesting of either species. The same techniques may be used to analyze the effect on negative harvesting rates, which correspond to stocking the system by constant rate addition of members. This is a common practice in many situations, particularly in connection with fish populations where food supply corresponds to prey and fish to predators, and our results indicate some dangers, principally the danger of wiping out the food supply by stocking fish too rapidly. It will be seen that it is safer to increase the food supply. This avoids extinction dangers, tends to stabilize the system, and increases the equilibrium fish population.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1979
- Accession Number
- ADA077093
Entities
People
- A. C. Soudack
- F. Brauer
Organizations
- University of Wisconsin–Madison