In this paper, a deterministic co-infection model incorporating protection from infection for both pneumonia infection and HIV/AIDS is considered. The model is shown to be positively invariant as well as bounded. Specifically we consider the case of maximum protection against pneumonia and the case of maximum protection against HIV/AIDS. In both cases, the endemic states are shown to exist provided the reproduction number for each case is greater than unity. Furthermore, by use of a suitable Lyapunov function, the endemic states have been shown to be globally asymptotically stable. Numerical sim-2070 Joyce K. Nthiiri et al. ulations indicate that enhanced protection against a disease lowers the rate of infection or disease prevalence.
Incidences of misdiagnosis of diseases with similar symptoms as malaria has increased lately due to the increasing levels of endemicity of these diseases and their co-infection with malaria. In this paper a mathematical model for the impact of misdiagnosis and treatment of pneumonia as malaria has been developed and analyzed. The dynamics
In this paper we have formulated a mathematical model of malariatyphoid concurrent and co-infection to establish the effect of misdiagnosing typhoid as malaria and hence treating it with anti-malarials.
Tuberculosis is a common opportunistic infection that cause death in HIV/AIDS patients. Due to the high cost of treatment, protection against infection may be preferable in scarce resource settings. In this paper, we consider a deterministic model incorporating protection from infection for both tuberculosis(TB) disease and HIV/AIDS. Two cases are considered, namely, the case of maximum protection against TB and the case of maximum protection against HIV/AIDS. In both cases, an endemic state is shown to exist provided that Joyce K. Nthiiri et al. the reproduction number is greater than unity. By use of a suitable Lyapunov function, the endemic states are shown to be globally asymptotically stable. Numerical simulations indicate that enhanced protection against a disease lowers new incidences of the disease, hence low disease prevalence rates. Therefore, public awareness campaign efforts on protective measures should be enhanced.
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