Dynamical System and Nonlinear Regression for Estimate Host‐Parasitoid Relationship

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

Journal of Applied Mathematics, 2010, vol. 2010, issue 1

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.

Date: 2010
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https://doi.org/10.1155/2010/851037

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2010:y:2010:i:1:n:851037

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