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This paper presents mathematical models for tuberculosis and its dynamics under the
implementation of the direct observation therapy strategy (DOTS) in Nigeria. The models establish
conditions for the eradication of tuberculosis in Nigeria based on the fraction of detected
infectious individuals placed under DOTS for treatment. Both numerical and qualitative analysis
of the models were carried out and the effect of the fraction of detected cases of active TB on the
various epidemiological classes...
Modification of behaviour in response to changes in the environment or ambient
conditions, based on memory, is typical of the human and, possibly, many animal
species.One obvious example of such adaptivity is, for instance, switching to a safer
behaviour when in danger, from either a predator or an infectious disease. In human
society such switching to safe behaviour is particularly apparent during epidemics.
Mathematically, such changes of behaviour...
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