Mathematical Theories of Populations: Demographics, Genetics, and Epidemics

✍ Scribed by Frank Hoppensteadt

• Book ID: 127405621
• Publisher: Society for Industrial Mathematics
• Year: 1997
• Tongue: English
• Weight: 581 KB
• Series: CBMS-NSF Regional Conference Series in Applied Mathematics
• Edition: SIAM
• Category: Library
• ISBN: 0898710170

✦ Synopsis

Mathematical theories of populations have appeared both implicitly and explicitly in many important studies of populations, human populations as well as populations of animals, cells and viruses. They provide a systematic way for studying a population's underlying structure.

A basic model in population age structure is studied and then applied, extended and modified, to several population phenomena such as stable age distributions, self-limiting effects, and two-sex populations. Population genetics are studied with special attention to derivation and analysis of a model for a one-locus, two-allele trait in a large randomly mating population. The dynamics of contagious phenomena in a population are studied in the context of epidemic diseases.