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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
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
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
Volumen:25
Número:9
Página de inicio:1203
Página de fin:1207
DOI: http://dx.doi.org/10.1016/j.aml.2012.02.040
Título revista:Applied Mathematics Letters
Título revista abreviado:Appl Math Lett
ISSN:08939659
CODEN:AMLEE
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