Conditional moments of the first-passage time of a crowed population

Using the method of stochastic variation of parameters in the logistic differential equation a stochastic logistic differential equation is obtained. For this stochastic differential equation, the first two conditional moments of the first-passage time are found. These results are applied in the stu...

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Bibliographic Details
Published in:Applied mathematics and computation 2024-06, Vol.470, p.128569, Article 128569
Main Authors: Cabral-García, Gabriela de Jesús, Villa-Morales, José
Format: Article
Language:English
Subjects:
Conditional moments
First-passage time
Stochastic logistic differential equation
Tumor
World population
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Summary:Using the method of stochastic variation of parameters in the logistic differential equation a stochastic logistic differential equation is obtained. For this stochastic differential equation, the first two conditional moments of the first-passage time are found. These results are applied in the study of the growth of cancerous tumors and in the study of the growth of the world population when a random perturbation is incorporated into the deterministic models.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2024.128569