First passage and first exit times for diffusion processes related to a general growth curve (Q6058755)
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scientific article; zbMATH DE number 7758935
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | First passage and first exit times for diffusion processes related to a general growth curve |
scientific article; zbMATH DE number 7758935 |
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First passage and first exit times for diffusion processes related to a general growth curve (English)
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1 November 2023
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The authors propose two stochastic formulations of a general growth equation. They are obtained by starting from a suitable parametrization of the deterministic model, by adding an additive and multiplicative noise, respectively. Then, they analyze the First Passage Time (FPT) from a threshold and the First Exit Time (FET) from a region delimited by two thresholds. As an application, it answers the question how much time is necessary for processes to reach a certain percentage of the average. At last, some numerical results are presented.
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first-passage times
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first-exit times
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ordinary differential equations
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growth curve
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