Optimal dosage and economic threshold of multiple pesticide applications for pest control

Mathematical and Computer Modelling

Volumn 51, Issue 5-6, 2010, Pages 487-503

  Liang, Juhua ^a   Tang, Sanyi ^a  

^a SHAANXI NORMAL UNIVERSITY   (China)

Author keywords

Economic threshold; Impulsive differential equations; Kill efficiency function; Pest control; Profit function

Indexed keywords

ECONOMIC THRESHOLD; EFFICIENCY FUNCTIONS; IMPULSIVE DIFFERENTIAL EQUATION; KILL EFFICIENCY FUNCTION; PROFIT FUNCTION;

DIFFERENTIAL EQUATIONS; EARNINGS; INSECT CONTROL; OPTIMIZATION; PROFITABILITY; STOCHASTIC MODELS; TIME MEASUREMENT;

PESTICIDES;

EID: 74149087119     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2009.11.021     Document Type: Article

References (20)

1. Hall D.C., and Norgaard R.B. On the time and application of pesticides. Am. J. Agric. Econ. 55 (1973) 198-201
2. Sunding D., and Zivin J. Insect population dynamics, pesticide use and farmworker health. Am. J. Agric. Econ. 82 (2000) 527-540
3. Ruesink W.G. Status of the systems approach to pest management. Ann. Rev. Entomol. (1976) 27-44
4. Knipling E.F. Some basic principles in insect population suppression. Bull. Entomol. Soc. Am. 12 (1966) 7-15
5. Shoemaker C.A. Optimal timing of multiple application of pesticides with residual toxicity. Biometrics 36 (1979) 803-812
6. Shoemaker C. Optimization of agricultural pest management II: Formulation of a control model. Math. Biosci. 17 (1973) 357-365
7. Shoemaker C. Optimization of agricultural pest management III: Results and extensions of a model. Math. Biosci. 18 (1973) 1-22
8. Talpaz H., Curry G.L., Sharpe P.J., DeMichele D.W., and Frisbie R.E. Optimal pesticide application for controlling the boll weevil in cotton. Am. J. Agric. Econ. 60 (1978) 469-475
9. Talpaz H., and Borosh I. Strategy for pesticide use: Frequency and applications. Am. J. Agric. Econ. 56 (1974) 769-775
10. J.C. Headley, Defining the economic threshold, presented at the National Academy of Sciences. Symposium on pest control strategies for the future, Washington, DC (April 15, 1971) (in National Academy of Science, Pest control strategies for the future 100-108 (1972))
11. Tang S.Y., and Chen L.S. Modelling and analysis of integrated pest management strategy. Discrete Contin. Dyn. Syst. B 4 (2004) 759-768
12. Tang S.Y., and Cheke R.A. State-dependent impulsive models of integrated pest management (IPM) strategies and their dynamic consequences. J. Math. Biol. 50 (2005) 257-292
13. Tang S.Y., Xiao Y.N., Chen L.S., and Cheke R.A. Integrated pest management models and their dynamical behavior. Bull. Math. Biol. 67 (2005) 115-135
14. Bainov D., and Simeonov P. Impulsive differential equations: Periodic solutions. Pitman Monographs and Surveys in Pure and Applied Mathematics vol. 66 (1993)
15. Lakshmikantham V., Bainov D., and Simeonov P. Theory of Impulsive Differential Equations (1989), World Scientific, Singapore
16. Tang S.Y., Xiao Y.N., and Clancy D. New modelling approach concerning integrated disease control and cost-effectivity. Nonlinear Anal. 63 (2005) 439-471
17. Daniel J., and Saphores M. The economic threshold with a stochastic pest population: A real options approach. Am. J. Agric. Econ. 82 (2000) 541-555
18. Tang S.Y., and Xiao Y.N. Biological Dynamics of Single Species (2008), Science Press (in Chinese)
19. Finney D.J. Probit Analysis. 2nd ed. (1952), Cambridge University Press
20. Corless R.M., Gonnet G.H., Hare D.E.G., Jeffrey D.J., and Knuth D.E. On the Lambert W function. Adv. Comput. Math. 5 (1996) 329-359