Skip to main content

Advertisement

Log in

Evaluating the Performance of Chemical Control in the Presence of Resistant Pathogens

  • Original Article
  • Published:
Bulletin of Mathematical Biology Aims and scope Submit manuscript

Abstract

Resistance to chemical control is a major impediment to combating many socially and economically important diseases. Theoretical and experimental studies have shown that reducing the intensity of treatment can slow, or even prevent, the invasion of resistance, yet reducing treatment levels also results in a net increase in disease severity. Clearly there is a need to identify control strategies that balance the conflicting aims of resistance management and disease suppression. Using a mathematical model for the dynamics of fungicide resistance in crop pathogens, we present a broadly applicable measure of the performance of chemical control in the presence of resistant pathogen strains. We illustrate how to optimise fungicide performance with respect to the intensity of treatment as a function of the duration of treatment and the fitness of the resistant strain. We find that in the short term, fungicide performance is optimised at high levels of treatment despite rapid selection for resistance, while the long-term optimum performance is achieved when treatment renders the fungicide-sensitive and fungicide-resistant pathogens equally fit. We further present evidence that under prescribed conditions, the ratio of dose size and frequency, and the fungicide mode of action, can have a significant effect on fungicide performance.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Anderson, R.M., May, R.M., 1986. The invasion, persistence and spread of infectious diseases within animal and plant communities. Phil. Trans. R. Soc. Lond. B 314, 533–570.

    Article  Google Scholar 

  • Austin, D.J., Anderson, R.M., 1999. Studies of antibiotic resistance within the patient, hospitals and the community using simple mathematical models. Phil. Trans. R. Soc. Lond. B 354, 721–738.

    Google Scholar 

  • Bierman, S.M., Fitt, B.D.L., van den Bosch, F., Bateman, G.L., Jenkyn, J.F., Welham, S.J., 2002. Changes in populations of the eyespot fungi Tapesia yallundae and T. acuformis under different fungicide regimes in successive crops of winter wheat, 1984–2000. Plant Pathol. 51, 191–201.

    Article  Google Scholar 

  • Blower, S.M., Porco, T.C., Darby, G., 1998. Predicting and preventing the emergence of antiviral drug resistance in HSV-2. Nat. Med. 4, 673–678.

    Article  Google Scholar 

  • Bonhoeffer, S., Barbour, A.D., De Boer, R.J., 2002. Procedures for the reliable estimation of viral fitness from time-series data. Proc. R. Soc. Lond. B 269, 1887–1893.

    Article  Google Scholar 

  • Bonhoeffer, S., Lipsitch, M., Levin, B.R., 1997. Evaluating treatment protocols to prevent antibiotic resistance. Proc. Natl. Acad. Sci. USA 94, 12106–12111.

    Article  Google Scholar 

  • Bonhoeffer, S., Nowak, M.A., 1997. Pre-existence and emergence of drug resistance in HIV-1 infection. Proc. R. Soc. Lond. B 264, 631–637.

    Google Scholar 

  • Brent, K.J., 1995. Fungicide resistance in crop pathogens: How can it be managed? FRAC monograph no. 1. GCPF (now Crop Life International), Brussels (available online from www.FRAC.info).

  • Brent, K.J., 2000. UK fungicide resistance research: Risk of resistance development in cereal pathogens to Qo inhibitor fungicides. MAFF, London.

    Google Scholar 

  • Clark, C.W., 1990. Mathematical Bioeconomics: The optimal management of renewable resources. Wiley, New York.

    MATH  Google Scholar 

  • Comins, H.N., 1977. The management of pesticide resistance. J. Theor. Biol. 65, 399–420.

    Article  Google Scholar 

  • De Waard, M.A., Georgopoulos, S.G., Hollomon, D.W., Ishii, H., Leroux, P., Ragsdale, N.N., Schwinn, F.J., 1993. Chemical control of plant diseases: Problems and prospects. Ann. Rev. Phytopathol. 31, 403–421.

    Article  Google Scholar 

  • Gubbins, S., Gilligan, C.A., 1997. Persistence of host-parasite interactions in a disturbed environment. J. Theor. Biol. 188, 241–258.

    Article  Google Scholar 

  • Gubbins, S., Gilligan, C.A., 1999. Invasion thresholds for fungicide resistance: Deterministic and stochastic analyses. Proc. Roy. Soc. Lond. B 266, 2539–2549.

    Article  Google Scholar 

  • Hall, R.J., Gubbins, S., Gilligan, C.A., 2004. Invasion of drug and pesticide resistance is determined by a trade-off between relative fitness and treatment efficacy. Bull. Math. Biol. 66, 825–840.

    Article  Google Scholar 

  • Hastings, A., 2004. Transients: The key to long-term ecological understanding? Trends Ecol. Evol. 19, 39–45.

    Article  Google Scholar 

  • Hunter, T., Brent, K.J., Carter, G.A., 1984. Effects of fungicide regimes on sensitivity and control of barley mildews. Proceedings of the 1984 Crop Protection Conference—Pests and diseases, pp. 471–476.

  • Laxminarayan, R., Brown, G.M., 2001. Economics of antibiotic resistance: A theory of optimal use. J. Environ. Econ. Manage. 42, 183–206.

    Article  MATH  Google Scholar 

  • Little, S.J., McLean, A.R., Spina, C.A., Richman, D.D., Havlir, D.V., 1999. Viral dynamics of acute HIV-1 infection. J. Exp. Med. 190, 841–850.

    Article  Google Scholar 

  • Madden, L.V., Hughes, G., Irwin, M.E., 2000. Coupling disease-progress-curve and time-of-infection functions for predicting yield loss of crops. Phytopathol. 90, 788–800.

    Article  Google Scholar 

  • Marin, D.H., Romero, R.A., Guzman, M., Sutton, T.B., 2003. Black Sigatoka: An increasing threat to banana cultivation. Plant Dis. 87, 208–222.

    Article  Google Scholar 

  • Metcalfe, R.J., Shaw, M.W., Russell, P.E., 2000. The effect of dose and mobility on the strength of selection for DMI fungicide resistance in inoculated field experiments. Plant Pathol. 49, 546–557.

    Article  Google Scholar 

  • O'Hara, R.B., Nielsen, B.J., Ostergard, H., 2000. The effect of fungicide dose on the composition of laboratory populations of barley powdery mildew. Plant Pathol. 49, 558–566.

    Article  Google Scholar 

  • Parry, D.W., 1990. Plant pathology in agriculture. Cambridge University Press, Cambridge.

    Google Scholar 

  • Paveley, N.D., Sylvester-Bradley, R., Scott, R.K., Craigon, S.J., Day, W., 2001. Steps in predicting the relationship of yield on fungicide dose. Phytopathol. 91, 708–716.

    Article  Google Scholar 

  • Paveley, N.D., Thomas, J.M., Vaughan, T.B., Havis, N.D., Jones, D.R., 2003. Predicting effective doses for the joint action of two fungicide applications. Plant Pathol. 52, 638–647.

    Article  Google Scholar 

  • Pearson, H., 2002. ‘Superbug’ hurdles key drug barrier. Nature 418, 469.

    Article  Google Scholar 

  • Porras, L., Gisi, U., Staele-Csech, U., 1990. Selection dynamics in triazole-treated populations of Erysiphe graminis. Proceedings of the 1990 Brighton Crop Protection Conference, pp. 1163–1168.

  • Schulz, U., 1994. Evaluating anti-resistance strategies for control of Erysiphe graminis f.sp. tritici. In: Heaney, S., Slawson, D., Hollomon, D.W., Smith, M., Russell, P.E., Parry, D.W. (Eds.), Fungicide resistance. BCPC, Farnham, UK, pp. 55–58.

    Google Scholar 

  • Shaw, M.W., 1993. Theoretical analysis of the effect of interacting activities on the rate of selection for combined resistance to fungicide mixtures. Crop Prot. 12, 120–126.

    Article  Google Scholar 

  • Shaw, M.W., 2000. Models of the effects of dose heterogeneity and escape on selection pressure for pesticide resistance. Phytopathology 90, 333–339.

    Article  Google Scholar 

  • Swinton, J., Anderson, R.M., 1995. Model frameworks for plant-pathogen interactions. In: Grenfell, B.T., Dobson, A.P. (Eds.), Ecology of infectious diseases in natural populations. Cambridge University Press, Cambridge, pp. 280–294.

    Google Scholar 

  • van den Bosch, F., Gilligan, C.A., 2003. Measures of durability of resistance. Phytopathology 93, 616–625.

    Article  Google Scholar 

  • van der Plank, J.E., 1963. Plant diseases: Epidemics and control. Academic Press, New York and London.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Richard J. Hall.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hall, R.J., Gubbins, S. & Gilligan, C.A. Evaluating the Performance of Chemical Control in the Presence of Resistant Pathogens. Bull. Math. Biol. 69, 525–537 (2007). https://doi.org/10.1007/s11538-006-9139-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11538-006-9139-z

Keywords

Navigation