STABILITY OF BIOSYSTEMS IN SEA WATER.
Abstract
A mathematical formalism is developed to facilitate a more realistic treatment of the problem of multiple predator-prey relationships. The major difference between this and earlier treatments by Lotka, Volterra and others, is that physiological functions (feeding, ingestion, excretion) are not simply assumed to be proportional to population of one or both species, but are required to fit known asymptotic conditions. Thus there will be very different behavior when predators are scarce compared to prey than in the converse situation. The formalism requires knowledge of four physiological parameters for each species (or 'class') of organism. Ways of deducing these parameters from experiments or observations are suggested. The resulting nonlinear differential equations are not explicitly solved, although with electronic computers their numerical solution should not prove unduly difficult. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1967
- Accession Number
- AD0663094
Entities
People
- Robert U. Ayres
Organizations
- Columbia University