Abstract
We develop a model that describes the dynamics of a finite number of strains that confer partial cross-protection among strains. The immunity structure of the host population is captured by an index-set notation where the index specifies the set of strains to which the host has been exposed. This notation allows us to derive threshold conditions for the invasion of a new strain and to show the existence of an endemic multi-strain equilibrium in a special case. The dynamics of systems consisting of more than two strains can exhibit sustained oscillations caused by an overshoot in the immunity to a specific strain of cross-protection is sufficiently strong.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 825-842 |
| Number of pages | 18 |
| Journal | Journal of mathematical biology |
| Volume | 35 |
| Issue number | 7 |
| DOIs | |
| State | Published - Aug 1997 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Applied Mathematics
- Agricultural and Biological Sciences (miscellaneous)
- Modeling and Simulation