Competitive processes and comparison differential systems

Author:
G. S. Ladde

Journal:
Trans. Amer. Math. Soc. **221** (1976), 391-402

MSC:
Primary 34D20; Secondary 92A05, 90A99

DOI:
https://doi.org/10.1090/S0002-9947-1976-0407401-7

MathSciNet review:
0407401

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Abstract | References | Similar Articles | Additional Information

Abstract: Sufficient conditions are given for stability and nonnegativity of solutions of a system of differential equations, in particular, of comparison differential equations. Finally, it has been shown that the comparison differential equations represent the mathematical models for competitive processes in biological, physical and social sciences.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1976-0407401-7

Keywords:
Chemical kinetics,
comparison differential systems,
compartment,
competitive processes,
concentration,
economic systems,
gross substitutability,
Hicks matrix,
interpretivity,
maximal solution,
Metzler matrix,
nonnegativity,
pharmacokinetics,
quasimonotone property,
reactant,
stability

Article copyright:
© Copyright 1976
American Mathematical Society