Global analysis of the dynamics of a mathematical model to intermittent HIV treatment
The aim of this paper is to study the qualitative dynamics of a piecewise smooth system modeling the intermittent treatment of the human immunodeficiency virus. Typical singularities and closed orbits are observable, and we quantitatively explore the dynamics around those singularities and closed or...
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| Veröffentlicht in: | Nonlinear dynamics 2020-07, Vol.101 (1), p.719-739 |
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| container_title | Nonlinear dynamics |
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| creator | de Carvalho, Tiago Cristiano, Rony Gonçalves, Luiz Fernando Tonon, Durval José |
| description | The aim of this paper is to study the qualitative dynamics of a piecewise smooth system modeling the intermittent treatment of the human immunodeficiency virus. Typical singularities and closed orbits are observable, and we quantitatively explore the dynamics around those singularities and closed orbits. Moreover, we conclude that this protocol always will be successful since the trajectory passing through any initial condition converges to one of these distinguished orbits. Our formal mathematical results corroborate the real-world observation, where the virus is not eliminated, but the number of infected cells is controlled around a specific value. |
| doi_str_mv | 10.1007/s11071-020-05775-4 |
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| ispartof | Nonlinear dynamics, 2020-07, Vol.101 (1), p.719-739 |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Automotive Engineering Classical Mechanics Control Dynamical Systems Engineering HIV Human immunodeficiency virus Mathematical analysis Mathematical models Mechanical Engineering Orbits Original Paper Singularities Vibration Viruses |
| title | Global analysis of the dynamics of a mathematical model to intermittent HIV treatment |
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