Horst R. Thieme & Jinling Yang
Complex formation is used as a unified approach to derive representations and approximations of the functional response in predator prey relations, mating, and sexual disease transmission. Applications are given to the impact of a generalist predator on a prey population and the spread of a sexually transmitted disease in a multi-group heterosexual population.
Published October 25, 2000.
Math Subject Classifications: 92D25, 92D30, 92D40.
Key Words: Complex (pair) formation, functional response, approximations of Beddington, Michaelis-Menten alias Monod alias Holling 2 and of Ross type, proportionate mixing, generalist predator, disease incidence, basic replacement ratio.
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Department of Mathematics, Arizona State University
Tempe, AZ 85287-1804, USA