On inherited fertility in biological systems: a model of correlated fluctuations in the stochastic branching process.

@article{Berlin1992OnIF,
  title={On inherited fertility in biological systems: a model of correlated fluctuations in the stochastic branching process.},
  author={Y. A. Berlin and D. O. Drobnitsky and V. Gol'danskii and V. V. Kuz'min},
  journal={Bio Systems},
  year={1992},
  volume={26 3},
  pages={
          185-92
        }
}
  • Y. A. Berlin, D. O. Drobnitsky, +1 author V. V. Kuz'min
  • Published 1992
  • Biology, Medicine
  • Bio Systems
  • A new evolutionary model with hereditary modes considered as correlated fluctuations of fertility has been proposed. It has been demonstrated that the model allows the global statistical properties of the system to be evaluated, e.g. the ensemble average and the probability of extinction. The results obtained show the increase of instability of a population with the enhancement of inheritance efficiency. The existence of at least an exponential stratification in the population has also been… CONTINUE READING
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    SHOWING 1-10 OF 20 REFERENCES
    Extinction and exponential growth in random environments.
    • N. Keiding
    • Mathematics, Medicine
    • Theoretical population biology
    • 1975
    • 132
    Expected population size in the generation-dependent branching process.
    • 2
    About the theory of competing species.
    • 13
    Random environments and stochastic calculus.
    • M. Turelli
    • Mathematics, Medicine
    • Theoretical population biology
    • 1977
    • 292
    Molecular quasi-species.
    • 632
    Stability and Complexity in Model Ecosystems
    • R. May, N. MacDonald
    • Environmental Science, Biology
    • IEEE Transactions on Systems, Man, and Cybernetics
    • 1978
    • 4,714
    • PDF
    Multiplicative population chains
    • J. E. Moyal
    • Mathematics
    • Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
    • 1962
    • 30
    A First Course on Stochastic Processes
    • 3,772
    • PDF