Global Stability of a HIV-1 Model with General Nonlinear Incidence and Delays
A HIV-1 model with two distributed intracellular delays and general incidence function is studied. Conditions are given under which the system exhibits the threshold behavior: the disease-free equilibrium E0 is globally asymptotically stable if R0≤1; if R0>1, then the unique endemic equilibrium E...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/324546 |
| Summary: | A HIV-1 model with two distributed intracellular delays and general incidence function is studied. Conditions are given under which the system exhibits the threshold behavior: the disease-free equilibrium E0 is globally asymptotically stable if R0≤1; if R0>1, then the unique endemic equilibrium E1 is globally asymptotically stable. Finally, it is shown that the given conditions are satisfied by several common forms of the incidence functions. |
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| ISSN: | 1110-757X 1687-0042 |