Square-root models for the Volterra equations and the explicit solution of these models
- 1 June 1983
- journal article
- research article
- Published by Springer Nature in Acta Biotheoretica
- Vol. 32 (2) , 123-142
- https://doi.org/10.1007/bf02045064
Abstract
Volterra's (1926) equations for competition and predator-prey interactions are modified by introduction of root terms. A critical comparison with the original equations shows that the dynamic properties of the systems remain essentially alike, while the modification allows for explicit solution of the differential equations. Detailed solutions and numerical examples are given.Keywords
This publication has 2 references indexed in Scilit:
- Population Cycles in Small RodentsScience, 1973
- POPULATION PROCESSES IN THE VOLE AND THEIR RELEVANCE TO GENERAL THEORYCanadian Journal of Zoology, 1960