The Effect Of External Source Of Disease On The HIV\ Aids Model With Bifurcation
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AUTHOR(S)
Ahmed A. Muhseen
KEYWORDS
Keywords: Epidemic models, Stability, HIV\AIDS, external sources, Local bifurcation.
ABSTRACT
ABSTRACT: In this paper a mathematical model that describes the spread of sexual infectious disease in a population is proposed and studied. It is assumed that the disease divided the population into four classes: susceptible individuals of males (S), infected individuals of males (I), susceptible individuals of females and infected individuals of females . The impact of contact between of population and external sources of disease for example (blood and other), on the dynamics of epidemic model is investigated. The existence, uniqueness and boundedness of the solution of the model are discussed. The local and global stability of the model is studied. The occurrence of local bifurcation in the model is investigated. Finally the global dynamics of the proposed model is studied numerically.
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