The Garki Model

October 16, 2024

add this.

garki <- xds_setup(Xname = "garki", MYZname = "SI")
garki <- xds_solve(garki, Tmax=3650, dt = 15)
xds_plot_X(garki, 1)

In the early 1950s, George Macdonald’s updated Ross’s mathematical theory and published a quantitative synthesis of malaria epidemiology and control. In field trials in the late 1960s, Macdonald’s models were tested, exposing some of their weaknesses (Nájera, 1973; Nájera, 1974). Many of these weaknesses were addressed when Klaus Dietz and his colleagues published a new malaria model, in the 1970s, that was field tested in The Garki Project (Dietz, Molineaux, & Thomas, 1974).

In ramp.xds, we have coded the Garki model in two ways: 1. a discrete-time system, as it was originally written; and 2. as a continuous time system.

References:

  1. Nájera , J. A & World Health Organization. (1973). A critical review of the field application of a mathematical model of malaria epidemiology. Available from the World Health Organization

  2. Nájera JA. A critical review of the field application of a mathematical model of malaria eradication. Bull World Health Organ. 1974;50: 449–457. Available from Bull. WHO

  3. Dietz K, Molineaux L, Thomas A. A malaria model tested in the African savannah. Bull World Health Organ. 1974;50: 347–357. Available from Bull. WHO.