-
Views
-
Cite
Cite
J. GANI, Some Population and Epidemic Models Revisited, Mathematical Medicine and Biology: A Journal of the IMA, Volume 1, Issue 3, 1984, Pages 277–287, https://doi.org/10.1093/imammb/1.3.277
- Share Icon Share
Abstract
Three problems of population and epidemic models formulated between ten and thirty years ago are reconsidered. In each case, a modified approach to the problem leads to its solution. For the two-sex population model, the solution of a Riccati equation results in an expression for the generating function of the process. The fully stochastic, as against the previously studied semistochastic, model of population growth with random catastrophes yields to hard analysis. Finally a generalized form of the general stochastic epidemic is solved using matrix geometric methods.