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

Gabriela de Jesús Cabral-García and José Villa-Morales

Applied Mathematics and Computation, 2024, vol. 470, issue C

Abstract: 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.

Keywords: Stochastic logistic differential equation; Conditional moments; First-passage time; Tumor; World population (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:470:y:2024:i:c:s0096300324000419

DOI: 10.1016/j.amc.2024.128569

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