Study on dynamic model of schistosomiasis prevention and control
Based on the transmission characteristics of schistosomiasis,a 7-dimensional differential equation mathematical model was constructed to describe the changes in the number of susceptible people,infected people,susceptible cattle,infec-ted cattle,susceptible snails,infected snails,and cercariae.The dynamic behavior of schistosomiasis transmission was stud-ied.The non negativity solution of the model and the positive invariance of the system were proved.The basic reproduction number was calculated using the regeneration matrix method.The conditions for the existence of disease-free equilibrium points and endemic equilibrium points are given.The conditions for local and global stability of disease-free equilibrium points are also given.The local stability conditions of endemic equilibrium points are given using central manifold theory,and the existence of forward bifurcation in the system is proved.From the analysis of threshold structure,it is concluded that the effective contact rate and the productivity of infected people and infected cattle producing cercariae are key parameters affecting the extinction of schistosomiasis.Measures such as increasing hygiene and health education on schistosomiasis,es-tablishing grazing prohibition zones,centralized treatment of human and animal feces,eliminating the eggs produced by schistosomiasis,and preventing the hatching and reproduction of eggs can be taken to reduce cases of schistosomiasis in hu-man and cattle populations.
schistosomaequilibrium pointstabilitydynamic model
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