Abstract
We assume that the states of a graph are occupied by n individuals. We denote by tN °α the number of individuals in state α at time t. The evolution of the population groups results from the following rules defining the closed graph model. At origin t=0, all n individuals are in state α=0 and all other states are void:
At any moment τ, any individual in state a can jump to a state β∈α′. The probability that this jump occurs during time interval dt equals τµα→β dτ. Jumps akin to different individuals are independent. No individuals from outside join the graph and no individuals from the graph leave it.
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© 1997 Springer Science+Business Media Dordrecht
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De Vylder, F.E. (1997). Population Groups on a Graph. In: Life Insurance Theory. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-2616-9_16
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DOI: https://doi.org/10.1007/978-1-4757-2616-9_16
Publisher Name: Springer, Boston, MA
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Online ISBN: 978-1-4757-2616-9
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