EVOLUTION OF PROBABILITY CHARACTERISTICS OF VERHULST MODEL WITH FLUCTUATIONS OF RESOURCES |
| 5 | |
| 2011 |
| scientific article | 537.86 : 519.21 | ||
| 208-211 | Verhulst equation, white non-Gaussian noise, stable distributions |
| The phenomenological Verhulst equation with fluctuations of the saturation parameter is considered. For a perturbation in the form of white non-Gaussian noise with the stable Levy-Smirnov probability distribution, we have observed the evolution of the probability characteristics of the population size with the transient bimodality. An exact expression is obtained for the steady-state probability density function, as well as the mean value and the variance of the process under study. |
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