The Convergence of the State Probabilities in a Class of m-Dimensional Simple Epidemic Models.
FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS
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A population of susceptible individuals exposed to m contagious diseases is considered. The progress of this epidemic among individuals is modeled by an m-dimesional stochastic progress. The components of this progress represent the number of infective individuals with the respective diseases at time t. A class of m-dimensional stochastic processes is constructed. These processes describe the progress of the epidemic models considered in the sequel. Exact and approximate formulas for the joint and marginal state probabilities of these models are obtained. It is shown that the approximate formulas are very simple functions of time while, the derivation of the exact formulas involve tedious computations. Author
- Medicine and Medical Research
- Statistics and Probability