Structured parametric epidemic models
نویسندگان
چکیده
A stage-structured model for a theoretical epidemic process that incorporates immature, susceptible and infectious individual in independent stages is formulated. In this analysis, an input interpreted as a birth function is considered. The structural identifiability is studied using the Markov parameters. Then, the unknown parameters are uniquely determined by the output structure corresponding to an observation of infection. Two different birth functions are considered: the linear case and the Beverton-Holt type to analyze the structured epidemic model. Some conditions on the parameters to obtain nonzero diseasefree equilibrium points are given. The identifiability of the parameters allows us determine uniquely the basic reproduction number R0 and the stability of the model in the disease-free equilibrium is studied usingR0 in terms of the model parameters.
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ورودعنوان ژورنال:
- Int. J. Comput. Math.
دوره 91 شماره
صفحات -
تاریخ انتشار 2014