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Predator‐prey relationships in a model for the activated process
Author(s) -
Canale Raymond P.
Publication year - 1969
Publication title -
biotechnology and bioengineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.136
H-Index - 189
eISSN - 1097-0290
pISSN - 0006-3592
DOI - 10.1002/bit.260110514
Subject(s) - limit (mathematics) , limit cycle , chain (unit) , set (abstract data type) , differential equation , mathematics , food chain , biological system , process (computing) , predation , differential (mechanical device) , control theory (sociology) , mathematical analysis , thermodynamics , ecology , computer science , biology , physics , artificial intelligence , programming language , control (management) , astronomy , operating system
The primary objective of this paper was to develop a mathematical description for the food chain,Because of the interdependence of the elements in this food chain, continuous oscillations among the variables are possible. A set of three differential equations was obtained to describe the above system in a continuously fed stirred tank reactor. The differential equations obtained were examined to characterize the possible types of solutions. A limit, cycle solution was obtained for some values of the system parameters.