Mathematical Models of Some Parasitic Diseases Involving an Intermediate Host,
Abstract
Mathematical models are established for two classes of parasitic diseases. In each case the disease is caused by a parasite which reaches sexual maturity inside its definitive host and which requires one intermediate host for the completion of its life cycle. In one case the mature parasite is hermaphroditic, while in the other case it has a monogamous heterosexual mating pattern. From each model an autonomous non-linear system of differential equations is derived whose solutions describe the course of the disease in a community in which it is endemic. This makes it possible to compare the effectiveness of various procedures aimed at control or eradiction of the disease and reveals the import of the parasite's mode of mating for the efficacy of such procedures.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1971
- Accession Number
- AD0736226
Entities
People
- Ingemar Nasell
- Warren M. Hirsch
Organizations
- New York University