Abstract
A delay-integral equation, proposed by Cooke and Kaplan in [1] as a model of epidemics, is studied. The focus of this work is on the qualitative behavior of solutions as a certain parameter is allowed to vary. It is shown that if a certain threshold is not exceeded then solutions tend to zero exponentially while if this threshold is exceeded, periodic solutions exist. Many features of the numerical studies in [1] are explained.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 69-80 |
| Number of pages | 12 |
| Journal | Journal Of Mathematical Biology |
| Volume | 4 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 1977 |
| Externally published | Yes |
ASJC Scopus subject areas
- Modeling and Simulation
- Agricultural and Biological Sciences (miscellaneous)
- Applied Mathematics