The transmission dynamics of HPV, HIV/ADS and HSV-II co-infection model

The aim of study is to formulate and analyze a mathematical model for coinfection of sexually transmitted diseases HPV, HIV, and HSV-II. The well possedness of the developed model equations was proved and the equilibrium points of the model have been identified. Qualitative analysis of the formulated model equations was proved and the equilibrium points of the model have been identified. Qualitative analysis of the formulated model was established using basic reproduction number. The results show that the disease free equilibrium is locally asymptotically stable if the basic reproduction is less than one. The endemic states are considered to exist when the basic reproduction number for each disease is greater than one. Finally, numerical simulations of the model equations are carried out using the software MATLAB R2015b with ODE45 solver. Numerical simulations illustrated that all infection solutions converge to zero when the basic reproduction number is less than unity.

Keywords:

mathematical model , Co-infection , Reproduction number