Dynamics and Thresholds of a Simple Epidemiological Model: Example of HIV/AIDS in Mali
The dynamics of many epidemiological models for infectious diseases that spread in the sexually active population presents a crucial period: the period of the influx or recruitment of susceptible. In this paper, we assume that the recruitment of susceptible is done among the juvenile group. We propo...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2010-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/638021 |
| Summary: | The dynamics of many epidemiological models for infectious diseases that
spread in the sexually active population presents a crucial period: the period of the influx
or recruitment of susceptible. In this paper, we assume that the recruitment of susceptible
is done among the juvenile group. We propose a dynamical system to modelize the disease
spread, and we study the dynamical behavior of this system. Then, the controllability of
the system is studied. We prove that the survival rate allows to control the dynamic of the
system. Numerical simulations are given to illustrate the results. |
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| ISSN: | 0161-1712 1687-0425 |