| In this paper, The basic theory of this paper mainly use the biological dynamics model. First, analyzing hand foot and mouth disease in the model, the constructed model is SEIQR, and considering the latent period and infected period mortality from illness, analysis of the disease-free equilibrium point and the global stability of the endemic equilibrium. The main means of looking for disease occurrence or non-occurrence of the threshold-the basic reproduction constant. Discriminanting characteristic roots and constructing Lyapunov function which used to get the global stability of the disease-free equilibrium, and then constructed the second composite matrix Limit discriminant global stability of the endemic equilibrium. The second model is SARS,during the large-scale outbreak of SARS, considering that the government control the disease is of great significance, analysis of SARS occurred balance point to identify the type of equilibrium point, discuss the distribution of the significance of the rail line and the line of the rail in the vicinity of the equilibrium point distribution.This paper consists of three parts:The first part introduces the hazards of infectious diseases, infectious disease dynamics model of the process, the significance of the infectious disease research. Ordinary differential equations of the theory of the origin and development process, as well as their predecessors have come to some conclusion.The second part describes the hand, foot and mouth disease pathogenesis,and at this stage of the world and our leads HFMD SEIQR model and analyze the model using kinetic theory to conclude.Finally, prevention some common methods of disease. The main knowledge:the basic reproduction constant structure, the balance point of the global asymptotic stability analysis of the model Accord than the matrix, the construction of the second-order composite moment,limit theory.The third part improvement of SARS model. Consider the impact of the disease, and to discuss the government increase control ability to fight the disease in the limited time.The theoretical basis for the use of the structure of the balance point, the discussion of the balance point type structure matrix.Accord than approximate the structure of the matrix,and the mapping of the disease occur discussion of the situation. |
