Dynamical System and Nonlinear Regression for Estimate Host-Parasitoid Relationship
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 en...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2010/851037 |
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| author | Ileana Miranda Cabrera Heyker Lellanis Baños Díaz María de los Ángeles Martínez |
| author_facet | Ileana Miranda Cabrera Heyker Lellanis Baños Díaz María de los Ángeles Martínez |
| author_sort | Ileana Miranda Cabrera |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e577dd0de601407db99862819c113b30 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-e577dd0de601407db99862819c113b302025-02-03T06:13:39ZengWileyJournal of Applied Mathematics1110-757X1687-00422010-01-01201010.1155/2010/851037851037Dynamical System and Nonlinear Regression for Estimate Host-Parasitoid RelationshipIleana Miranda Cabrera0Heyker Lellanis Baños Díaz1María de los Ángeles Martínez2Grupo de Plagas Agrícolas, Dirección de Protección de Plantas, Centro Nacional de Sanidad Agropecuaria, Apartado 10 San José de las Lajas, 32700 La Habana, CubaGrupo de Plagas Agrícolas, Dirección de Protección de Plantas, Centro Nacional de Sanidad Agropecuaria, Apartado 10 San José de las Lajas, 32700 La Habana, CubaGrupo de Plagas Agrícolas, Dirección de Protección de Plantas, Centro Nacional de Sanidad Agropecuaria, Apartado 10 San José de las Lajas, 32700 La Habana, CubaThe 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.http://dx.doi.org/10.1155/2010/851037 |
| spellingShingle | Ileana Miranda Cabrera Heyker Lellanis Baños Díaz María de los Ángeles Martínez Dynamical System and Nonlinear Regression for Estimate Host-Parasitoid Relationship Journal of Applied Mathematics |
| title | Dynamical System and Nonlinear Regression for Estimate Host-Parasitoid Relationship |
| title_full | Dynamical System and Nonlinear Regression for Estimate Host-Parasitoid Relationship |
| title_fullStr | Dynamical System and Nonlinear Regression for Estimate Host-Parasitoid Relationship |
| title_full_unstemmed | Dynamical System and Nonlinear Regression for Estimate Host-Parasitoid Relationship |
| title_short | Dynamical System and Nonlinear Regression for Estimate Host-Parasitoid Relationship |
| title_sort | dynamical system and nonlinear regression for estimate host parasitoid relationship |
| url | http://dx.doi.org/10.1155/2010/851037 |
| work_keys_str_mv | AT ileanamirandacabrera dynamicalsystemandnonlinearregressionforestimatehostparasitoidrelationship AT heykerlellanisbanosdiaz dynamicalsystemandnonlinearregressionforestimatehostparasitoidrelationship AT mariadelosangelesmartinez dynamicalsystemandnonlinearregressionforestimatehostparasitoidrelationship |