The Establishment And Analysis Of The Clonorehiasis Sinensis Disease Dynamic Model

In this thesis,according to the transmission rule of clonorchiasis disease,we set up the corresponding dynamic models.Using some related mathematical theory and method,we discussed some dynamic behav-iors of the models and obtain some valuable results.It is of great theoretical and practical significance for the purpose of guiding prevention and control efforts.The main work of this thesis can be summarized as follows:In the first chapter,we introduce the research background of this thesis.Then,we elaborate the signifi-cance and purposes of research.In the second chapter,a mathematical model is proposed to mimic its transmission dynamics to as-sess the effects of pulse killing snails intervention strategy based on the mechanism and characteristics of clonorchiasis.A threshold dynamics in terms of the basic reproductive number R0 has been established,that is,if R0<1,the disease dies out and the disease-free periodic solution is globally asymptotically stable,and if R0>1,then the disease breaks out.The effects of different control measures are compared by nu-merical simulations.The numerical results suggest that strengthen of the health education and improvement of sanitation have to be required,however,snail control is the most effective way to be implemented in the clonorchiasis control.In the third chapter,motivated by the modeling idea on only one intermediate host,a high-dimensional autonomous dynamic model on clonorchiasis which has two intermediate hosts is established.The basic reproductive number R0,which can judge the persistence and extinction of disease,is obtained.Normalized forward sensitivity index and target reproduction number are calculated.