Stability of a stochastic logistic model with distributed delay

@article{Liu2013StabilityOA,
  title={Stability of a stochastic logistic model with distributed delay},
  author={Meng Liu and Ke Wang and Hong Qiu},
  journal={Math. Comput. Model.},
  year={2013},
  volume={57},
  pages={1112-1121}
}
  • Meng Liu, Ke Wang, Hong Qiu
  • Published in Math. Comput. Model. 2013
  • Computer Science, Mathematics
  • This paper is concerned with the stability of the solutions to the stochastic logistic model with distributed delay, which is represented by the equation d x ( t ) = x ( t ) ( 1 - a x ( t ) - b ? - ? 0 x ( t + ? ) d µ ( ? ) ) r d t + ? d B t ] , where B t is a standard Brownian motion. This study shows that the above stochastic system has a global positive solution with probability 1 and establishes the sufficient conditions for stability of the zero solution and the positive equilibrium… CONTINUE READING

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