On the complex formation approach in modeling predator prey relations, mating, and sexual disease transmission

Abstract

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.

Keywords

• 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.