Feedback control variables to restrain the Babesiosis disease
In this paper, we complete the study of the dynamics of a recognized continuous-time model for the Babesiosis disease. The local and global asymptotic stability of the endemic state are established theoretically and experimentally. In addition, to restrain the disease in the original model when the...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universidad de Castilla-La Mancha |
| Repositorio: | RUIdeRA. Repositorio Institucional de la UCLM |
| OAI Identifier: | oai:ruidera.uclm.es:10578/44167 |
| Acceso en línea: | https://hdl.handle.net/10578/44167 |
| Access Level: | acceso abierto |
| Palabra clave: | Attractors Babesiosis disease Feedback control Global stability Lyapunov functions and stability Numerical treatment of dynamical systems |
| Sumario: | In this paper, we complete the study of the dynamics of a recognized continuous-time model for the Babesiosis disease. The local and global asymptotic stability of the endemic state are established theoretically and experimentally. In addition, to restrain the disease in the original model when the endemic state exists, we propose and study the continuous model with feedback controls. The global stability of the boundary-equilibrium point of this model is analyzed by means of rigorous mathematical methods. As an important consequence of this result, we propose a strategy to select feedback control variables in order to restrain the disease in the original model. This strategy allows us to make the disease vanish completely. In other words, the feedback controls are specially effective for restraining disease in the model. The validity of the established theoretical result is supported by a set of numerical simulations. |
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