Abstract:
We give sufficient and necessary conditions for the existence of at least one positive T-periodic solution for a generalized Nicholson's blowflies model with a nonlinear harvesting term. Our results extend those of the previous work Li and Du (2008) [1]. © 2012 Elsevier Ltd. All rights reserved.
Registro:
Documento: |
Artículo
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Título: | Existence of positive T-periodic solutions of a generalized Nicholson's blowflies model with a nonlinear harvesting term |
Autor: | Amster, P.; Déboli, A. |
Filiación: | Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellón I, 1428 Buenos Aires, Argentina Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Argentina
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Palabras clave: | Nicholson's blowflies model; Nonlinear harvesting term; Topological degree methods; Harvesting terms; Nicholson's Blowflies models; Sufficient and necessary condition; T-periodic solutions; Topological degree; Harvesting; Problem solving; Human computer interaction |
Año: | 2012
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Volumen: | 25
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Número: | 9
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Página de inicio: | 1203
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Página de fin: | 1207
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DOI: |
http://dx.doi.org/10.1016/j.aml.2012.02.040 |
Título revista: | Applied Mathematics Letters
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Título revista abreviado: | Appl Math Lett
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ISSN: | 08939659
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CODEN: | AMLEE
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08939659_v25_n9_p1203_Amster |
Referencias:
- Li, J., Du, C., Existence of positive periodic solutions for a generalized Nicholson's blowflies model (2008) J. Comput. Appl. Math., 221, pp. 226-233
- Mawhin, J., Topological degree methods in nonlinear boundary value problems (1979) CBMS Regional Conference Series in Mathematics, 40. , American Mathematical Society Providence, RI
- Long, F., Yang, M., Positive periodic solutions of delayed Nicholson's blowflies model with a linear harvesting term (2011) Electron. J. Qual. Theory of Differ. Equ., 2011 (41), pp. 1-11
- Berezansky, L., Braverman, E., Idels, L., Nicholson's blowflies differential equations revisited: Main results and open problems (2010) Appl. Math. Model., 34 (6), pp. 1405-1417
Citas:
---------- APA ----------
Amster, P. & Déboli, A.
(2012)
. Existence of positive T-periodic solutions of a generalized Nicholson's blowflies model with a nonlinear harvesting term. Applied Mathematics Letters, 25(9), 1203-1207.
http://dx.doi.org/10.1016/j.aml.2012.02.040---------- CHICAGO ----------
Amster, P., Déboli, A.
"Existence of positive T-periodic solutions of a generalized Nicholson's blowflies model with a nonlinear harvesting term"
. Applied Mathematics Letters 25, no. 9
(2012) : 1203-1207.
http://dx.doi.org/10.1016/j.aml.2012.02.040---------- MLA ----------
Amster, P., Déboli, A.
"Existence of positive T-periodic solutions of a generalized Nicholson's blowflies model with a nonlinear harvesting term"
. Applied Mathematics Letters, vol. 25, no. 9, 2012, pp. 1203-1207.
http://dx.doi.org/10.1016/j.aml.2012.02.040---------- VANCOUVER ----------
Amster, P., Déboli, A. Existence of positive T-periodic solutions of a generalized Nicholson's blowflies model with a nonlinear harvesting term. Appl Math Lett. 2012;25(9):1203-1207.
http://dx.doi.org/10.1016/j.aml.2012.02.040