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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

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: 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