UNIVERSITY OF DURHAM Durham, North East England United Kingdom
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Some of the simpler theoretical models which have been proposed for phenomena for example, the competition between species or the occurrence of epidemics which involve stochastic interactions between several populations have the common feature that they are Markov processes, homogeneous in time, with a countable set of states m, n where m and n represent the sizes of two populations. These processes are specified by prescribing the rates at which transitions occur, only transitions to neighboring states being allowed a formal definition of such competition processes will be given in section 2.
- Statistics and Probability