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

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  • Cabral-García, Gabriela de Jesús
  • Villa-Morales, José

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.

Suggested Citation

  • Cabral-García, Gabriela de Jesús & Villa-Morales, José, 2024. "Conditional moments of the first-passage time of a crowed population," Applied Mathematics and Computation, Elsevier, vol. 470(C).
    • Handle: RePEc:eee:apmaco:v:470:y:2024:i:c:s0096300324000419
    DOI: 10.1016/j.amc.2024.128569
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    References listed on IDEAS

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    1. Wang, Huiqing & Yin, Chuancun, 2008. "Moments of the first passage time of one-dimensional diffusion with two-sided barriers," Statistics & Probability Letters, Elsevier, vol. 78(18), pages 3373-3380, December.
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