Abstract
May (1972, 1973) and Hastings (1982a, b, 1983a, b) announced criteria for the probable stability or instability, as n ↑ ∞, of systems of n linear ordinary differential equations or difference equations with random coefficients fixed in time. However, simple, explicit counter-examples show that, without some additional conditions, the claims of May and Hastings can be false.
Original language | English (US) |
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Pages (from-to) | 153-156 |
Number of pages | 4 |
Journal | Journal of Theoretical Biology |
Volume | 113 |
Issue number | 1 |
DOIs | |
State | Published - Mar 7 1985 |
ASJC Scopus subject areas
- Statistics and Probability
- Modeling and Simulation
- General Biochemistry, Genetics and Molecular Biology
- General Immunology and Microbiology
- General Agricultural and Biological Sciences
- Applied Mathematics