Existence and multiplicity of periodic solutions for a generalized hematopoiesis model
A generalization of the nonautonomous Mackey–Glass equation for the regulation of the hematopoiesis with several non-constant delays is studied. Using topological degree methods we prove, under appropriate conditions, the existence of multiple positive periodic solutions. Moreover, we show that the...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2017 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/55575 |
| Acceso en línea: | http://hdl.handle.net/11336/55575 |
| Access Level: | acceso abierto |
| Palabra clave: | DEGREE THEORY GLOBAL ATTRACTOR HEMATOPOIESIS MULTIPLICITY NONLINEAR NONAUTONOMOUS DELAY DIFFERENTIAL EQUATIONS POSITIVE PERIODIC SOLUTIONS https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 https://purl.org/becyt/ford/1.6 |
| Sumario: | A generalization of the nonautonomous Mackey–Glass equation for the regulation of the hematopoiesis with several non-constant delays is studied. Using topological degree methods we prove, under appropriate conditions, the existence of multiple positive periodic solutions. Moreover, we show that the conditions are necessary, in the sense that if some sort of complementary conditions are assumed then the trivial equilibrium is a global attractor for the positive solutions and hence periodic solutions do not exist. |
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