Abstract
A model is discussed for the description of parasitic diseases on host populations with age structure. The parasite population develops according to a linear multitype birth-death-process. The parasites influence mortality and fertility of the hosts and are acquired with a rate depending on the mean parasite load of the host population. The model consists of a system of partial differential equations with initial and boundary conditions. Existence and stability of persistent solutions as well as the distribution of parasites on the host population are discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 549-573 |
| Number of pages | 25 |
| Journal | Journal of Mathematical Biology |
| Volume | 27 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 1 Sept 1989 |
Keywords
- Bifurcations
- Exponential growth
- Host-parasite systems