Accession Number:

AD0736226

Title:

Mathematical Models of Some Parasitic Diseases Involving an Intermediate Host,

Descriptive Note:

Corporate Author:

NEW YORK UNIV N Y COURANT INST OF MATHEMATICAL SCIENCES

Personal Author(s):

Report Date:

1971-12-01

Pagination or Media Count:

199.0

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 parasites mode of mating for the efficacy of such procedures.

Subject Categories:

  • Medicine and Medical Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE