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{"ops":[{"insert":"The differential equations\ndS/dt = - \u03b2"},{"attributes":{"italic":true},"insert":"SI "},{"insert":"+ \u03bbS\ndI/dt = \u03b2"},{"attributes":{"italic":true},"insert":"SI "},{"insert":"- \u03b3I\nmodel a disease spread by contact, where S is the number of susceptibles, \u03bb is the number\nof infectives, \u03b2 is the contact rate, \u03b3 is the removal rate and l is the birth rate of\nsusceptibles.\n(i) Identify which term in the RHS of each differential equation arises from the birth of\nsusceptibles.\n(ii) Discuss the model given by the above two differential equations.\n"}]}
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