A Stochastic Epidemic Model | ||
| The Egyptian Statistical Journal | ||
| Article 4, Volume 26, Issue 1, June 1982, Pages 54-64 | ||
| Document Type: Original Article | ||
| DOI: 10.21608/esju.1982.316619 | ||
| Author | ||
| Shoukry E. M. | ||
| Abstract | ||
| In this work, the stochastic epidemic model to be studied assumes just two types of individual in a population of size N, the population of infective persons of size I(t) and the susceptible population of size N-I(t) at any time t. It is shown that the process N1/2 {I(t)/N - h(t)} for Suitable h(t) approaches an Ornstein-Uhlenbeck process as N→∞. | ||
| Keywords | ||
| Infective Persons; Ornstein-Uhlenbeck Process; Population Size; Stochastic Epidemic Model; Susceptible Population | ||
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