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2010 Dynamical System and Nonlinear Regression for Estimate Host-Parasitoid Relationship
Ileana Miranda Cabrera, Heyker Lellanis Baños Díaz, María de los Ángeles Martínez
J. Appl. Math. 2010: 1-10 (2010). DOI: 10.1155/2010/851037


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.


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Ileana Miranda Cabrera. Heyker Lellanis Baños Díaz. María de los Ángeles Martínez. "Dynamical System and Nonlinear Regression for Estimate Host-Parasitoid Relationship." J. Appl. Math. 2010 1 - 10, 2010.


Published: 2010
First available in Project Euclid: 12 August 2011

zbMATH: 1211.37103
MathSciNet: MR2738168
Digital Object Identifier: 10.1155/2010/851037

Rights: Copyright © 2010 Hindawi

Vol.2010 • 2010
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