Abstract
In a fixed population of size N, we assume that the probability for a new infective in the time interval (t, t + dt) is βr1-b(N - r)a dt, where r is the number of susceptibles at time t, N - r is the number of infectives at time t, β is the infection rate, a is the infection power, and b is the safety-in-numbers power. If a = 1 and b = 0, then this probability would determine the familiar simple stochastic epidemic model. This article investigates the effect of the parameters a and b on the state probabilities and other derived quantities of the model.
Original language | English |
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Pages (from-to) | 1-8 |
Number of pages | 8 |
Journal | Mathematical Biosciences |
Volume | 5 |
Issue number | 1-2 |
DOIs | |
State | Published - Aug 1969 |
ASJC Scopus subject areas
- Statistics and Probability
- Modeling and Simulation
- General Biochemistry, Genetics and Molecular Biology
- General Immunology and Microbiology
- General Agricultural and Biological Sciences
- Applied Mathematics