Research On Dynamical Model And Control Strategy Of Rabies And Avian Influenza

Zoonosis is a class of epidemiological diseases that are caused by common pathogens and naturally spread between vertebrates and humans.The outbreak of zoonosis,not only causes huge economic losses,but also poses a serious threat to human health.Different type of zoonosis have different transmission mechanisms.Bacterial infections,viral infections,parasite infections,and skin fungal infections are common infections of zoonosis.Many animal and veterinary diseases are natural epidemic diseases.The host spectrum of such pathogens is generally wide,and it is difficult to eliminate and control in actual natural environment,which has a great impact on human.The mathematical model can be used to portray the transmission mechanism and laws of infectious diseases so that people can take effective control measures to reduce the outbreak of disease and the harm to humans.Zoonosis is a serious disease that affects humans.It is also a potent infectious disease that spreads between livestock and poultry.Take rabies and H7N9 avian influenza as an example.These two types of diseases not only have a high fatality rate for humans,but also have a serious impact on public health.So,it's urgent to eliminate the threat of these diseases.Therefore,this paper establishes a dynamic model that accords with the mechanism of disease transmission.By analyzing the dynamic nature of the model,some effective prevention and control strategies can be adopted to provide a reliable theoretical basis for inhibiting the spread of these two types of diseases.1?In this paper,an SEIR rabies model concluding the populations of stray dogs,domestic dogs and human is established.The model simulations agree with nearly 20 years of the human rabies date in China by genetic algorithm meanwhile estimates the basic reproduction number₀R?1.075.This paper proves the global stability of the disease-free equilibrium point when₀R?27?1and uniformly persistence of the model when₀R?29?1According to the numerical simulation,we predict the epidemic of rabies and analyze the influence related parameters of₀R.we find that eradicating rabies still need to take certain measures.The first thing is avoiding cross infection between domestic dogs and stray dogs.Then take measures respectively on domestic dogs and stray dogs.For domestic dogs,it is important to improve the immunity.For the stray dogs,killing and reducing the number of birth is better than the immune effect.2?In this paper,according to the results of genetic testing form H7N9 avian influenza,I establish a dynamic model including H7N9 influenza virus from the formation to infect humans.There exist three groups including waterfowl,poultry and human in the model.After calculation,we get the basic reproduction number of each group and the equilibrium point.This paper shows the global stability of the disease-free equilibrium point and the endemic equilibrium point under different conditions.The results show that when the two kinds of common flu virus form a new flu virus,what we should is that not only control the spread of the new flu virus effect,but also control the spread of the common flu virus in poultry.Therefore,in controlling the spread of H7N9 avian influenza,the management of waterfowl and poultry should be strengthened to reduce the outbreak of ordinary influenza viruses in waterfowl and poultry.At the same time we should try to avoid contact between waterfowl and poultry to reduce the formation of avian influenza.