Artículos de revistas
A mathematical model for fungal population growth and the fungicide resistance problem
Registro en:
Journal Of Biological Systems. World Scientific Publ Co Pte Ltd, v. 7, n. 2, n. 239, n. 249, 1999.
0218-3390
WOS:000083572600007
10.1142/S0218339099000164
Autor
Vendite, LL
Ghini, R
Institución
Resumen
A deterministic mathematical model which includes impulses occurring at fixed time periods is proposed in the study of the effects of different dosages on the population dynamics of resistant fungi. The model includes the following parameters which characterize the phenomenon: r(S) and r(R) (the apparent infection rates in the sense of Vanderplank for susceptible and resistant fungi), alpha (change rate from susceptible to resistant populations) and F (the rate by which the population is reduced by fungicide application). As a preliminary step, the model is solved in the absence of fungicide, in order to establish the resistance frequency in the initial population. Numerical simulations have been carried out considering low dosages and high dosages and varying the parameters alpha, r(S), r(R) According to the simulations, smaller dosages result in a lower reduced efficacy and delay the instant for total population resistance. 7 2 239 249