Stability and Hopf bifurcation in a delayed viral infection model with mitosis transmission
In this paper we study a model of HCV with mitotic proliferation, a saturation infection rate and a discrete intracellular delay: the delay corresponds to the time between infection of a infected target hepatocytes and production of new HCV particles. We establish the global stability of the infecti...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2015 |
| País: | México |
| Institución: | Universidad Autónoma de Yucatán |
| Repositorio: | Repositorio Digital Institucional de la Universidad Autónoma de Yucatán |
| Idioma: | inglés |
| OAI Identifier: | oai:redi.uady.mx:123456789/499 |
| Acceso en línea: | http://redi.uady.mx:8080/handle/123456789/499 |
| Access Level: | acceso abierto |
| Palabra clave: | info:eu-repo/classification/cti/1 info:eu-repo/classification/cti/7 Local stability Hopf bifurcation Global stability Permanence Sensitivity analysis |
| Sumario: | In this paper we study a model of HCV with mitotic proliferation, a saturation infection rate and a discrete intracellular delay: the delay corresponds to the time between infection of a infected target hepatocytes and production of new HCV particles. We establish the global stability of the infection–free equilibrium and existence, uniqueness, local and global stabilities of the infected equilibrium, also we establish the occurrence of a Hopf bifurcation. We will determine conditions for the permanence of model, and the length of delay to preserve stability. The unique infected equilibrium is globally-asymptotically stable for a special case, where the hepatotropic virus is non-cytopathic. We present a sensitivity analysis for the basic reproductive number. Numerical simulations are carried out to illustrate the analytical results. |
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