Stochastic analysis of time-delayed ecosystems.

  title={Stochastic analysis of time-delayed ecosystems.},
  author={G. Q. Cai and Y-T. Lin},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={76 4 Pt 1},
  • G. Q. Cai, Y-T. Lin
  • Published 2007 in
    Physical review. E, Statistical, nonlinear, and…
The predator-prey-type ecosystem is investigated, taking into account the time-delay effect of the prey population on the predator population, as well as random variations in the birth rate of the prey and the death rate of the predators. The stochastic averaging procedure is applied to obtain the probability distributions of the predator and prey populations at the state of statistical stationarity. It is found that two system parameters, quantifying the effects of prey self-competition and… CONTINUE READING

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Stratonovich , Topics in the Theory of Random Noise  Gordon and Breach , New York , 1963  , Vol . 1 .  23  R . Z . Khasminskii

F. C. Klebaner
Ann . Appl . Probab . Phys . Rev . E Proceedings of IUTAM Symposium on Nonlinear Stochastic Dynamics • 1979

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