Mathematical modelling of HIV epidemic and stability analysis


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Bozkurt F. , Peker F.

ADVANCES IN DIFFERENCE EQUATIONS, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

Özet

A nonlinear mathematical model of differential equations with piecewise constant arguments is proposed. This model is analyzed by using the theory of both differential and difference equations to show the spread of HIV in a homogeneous population. Because of the solution of this differential equations being established in a certain subinterval, solutions will be analyzed as a system of difference equations. After that, results will be considered for differential equations as well. The population of the model is divided into three subclasses, which are the HIV negative class, the HIV positive class that do not know they are infected and the HIV positive class that know they are infected. As an application of the model we took the spread of HIV in India into consideration.

A nonlinear mathematical model of differential equations with piecewise constant

arguments is proposed. This model is analyzed by using the theory of both

differential and difference equations to show the spread of HIV in a homogeneous

population. Because of the solution of this differential equations being established in

a certain subinterval, solutions will be analyzed as a system of difference equations.

After that, results will be considered for differential equations as well. The population

of the model is divided into three subclasses, which are the HIV negative class, the HIV

positive class that do not know they are infected and the HIV positive class that know

they are infected. As an application of the model we took the spread of HIV in India

into consideration.