Coevolution: mathematical analysis of host-parasite interactions.
An S----I----S epidemic transmitted by two similar strains of parasite acting on a host population of three genotypes which differ in their reaction to the disease is modelled and analyzed. Singular perturbation techniques are used to reduce the original system of nine differential equations to a coupled system of two equations describing the slowtime coevolution of gene frequency and parasite strain frequency.
D000818:Animals; D005075:Biological Evolution; D004812:Epidemiologic Methods; D005838:Genotype; D006790:Host-Parasite Interactions; D008433:Mathematics; D008954:Models, Biological; D010272:Parasitic Diseases / Q000209:etiology