Coevolution: Mathematical analysis of host-parasite interactions

An SIS 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.Karen Christine Beck died June 25, 1983 at home.Born February 8, 1952 in Madison, Wisconsin, She received a B.A. degree in 1974 from Luther College, Decorah, Iowa and a Ph.D. in mathematics in 1980 from the University of Iowa. Since that time she has been an instructor in the Mathematics Department at the University of Utah. She was to become an Assistant Professor at the University of Texas, Arlington, beginning Autumn, 1983. Dr. Beck's areas of specialization in mathematics were Mathematical Analysis and Mathematical Biology. She published numerous research articles that resolved various problems in these areas.