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Dynamical System and Nonlinear Regression for Estimate Host-Parasitoid Relationship

Author

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  • Ileana Miranda Cabrera
  • Heyker Lellanis Baños Díaz
  • María de los Ángeles Martínez

Abstract

The complex relationships of a crop with the pest, its natural enemies, and the climate factors exist in all the ecosystems, but the mathematic models has studied only some components to know the relation cause-effect. The most studied system has been concerned with the relationship pest-natural enemies such as prey-predator or host-parasitoid. The present paper shows a dynamical system for studying the relationship host-parasitoid ( Diaphorina citri, Tamarixia radiata ) and shows that a nonlinear model permits the estimation of the parasite nymphs using nymphs healthy as the known variable. The model showed the functional answer of the parasitoid, in which a point arrives that its density is not augmented although the number host increases, and it becomes necessary to intervene in the ecosystem. A simple algorithm is used to estimate the parasitoids level using the priori relationship between the host and the climate factors and then the nonlinear model.

Suggested Citation

  • Ileana Miranda Cabrera & Heyker Lellanis Baños Díaz & María de los Ángeles Martínez, 2010. "Dynamical System and Nonlinear Regression for Estimate Host-Parasitoid Relationship," Journal of Applied Mathematics, Hindawi, vol. 2010, pages 1-10, November.
    • Handle: RePEc:hin:jnljam:851037
    DOI: 10.1155/2010/851037
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