Mo Deling HIV And Other Infectious Diseases Co-infection

Infectious diseases have always been the enemy of human health and social order,which bring great challenge to the survival of mankind. Among them, HIV torrents down with a terrifying force. HIV is a kind of retrovirus virus which can destroy the body's immune system. About three decades ago, HIV began to spread worldwide at an alarming rate. It is a retrovirus that infects cells of the human immune systems, destroying or impairing their function. From 1983 when HIV was first discovered in the United States till now, about a total of 29 million people died of AIDS, which is much higher than the sum of the population died in the war in 20 th century. HIV/AIDS spread rapidly and is a high-mortality disease, so far we are still do anything for AIDS. Research has shown that the HIV attacks the immune system which weakens the infected person' immunity and makes the infected person highly vulnerable to infect diseases, such as gonorrhea,TB, HCV and so on. Many researchers turn their attention to the interaction of HIV and other infectious diseases, like the interaction of HIV and TB, the interaction of HIV and malaria and the interaction of HIV and cancer. Maybe, the principle of HIV and other infectious diseases is not the same thing, and have the different mode of transmission, but it has realistic significance to this connection. By studying the HIV models and the coinfection models, estimating their future development trend, we could get great benefits.For example, the case of TB and HIV co-infection, both diseases show the relationship of amplification. One of the disease will accelerate the others' progression of malignancy.In many areas, the increase of pulmonary TB cases is often due to the infection of HIV,and the increase of HIV cases is also have an effect on TB. For malaria, cancer and some other diseases' relation of HIV can also compare the detailed analysis in medicine. The most effective measures for diseases is prevention, while medication can delay the onset of diseases. Therefore, it is necessary and realistic to study the co-infection models. At present, infectious disease dynamics is a important method for studying infectious disease.The first part introduces some background, purpose and meaning of co-infection models. The second part give some preliminaries. The third part, by studying three co-infection models show the interaction of both infectious diseases. The main content of the models can be summarized as follows:The first model, we investigate the global stability of HIV and TB co-infection model with standard incidence rate. We derive the basic reproduction number. By constructing suitable Lyapunov functionals, we get the global asymptotic stability of the equilibriums.Finally, we check the stability by numerical simulations.The second model, we investigate the stability of HIV and cholera co-infection model,while AIDS receives reverse transcription and cholera receives corresponding treatment. We first consider the cholera-only sub-model and HIV-only sub-model, and then we consider the full model. Here, the reproductive number, RC, is analyzed to determine whether or not treatment of cholera patients(modeled by the rate ?1) can lead to the effective control or elimination of cholera in the community.The third model, we investigate the stability of HIV and HCV, while AIDS receives reverse transcription and HCV receives antiviral therapy. We first consider the HIVonly sub-model and HCV-only sub-model, and then we consider the full model. For numerical simulations, we consider several parameters' effects on disease dynamics when take different values.Finally, we give some reference related to the paper.