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September 14, 2026International Journal of Modern Physics C

The dynamics of early transoceanic voyages: A resource-coupled model of crew health and survival

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Authors

NCNuno Crokidakis

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Overview

Mathematical modeling demonstrates that resource depletion degrades crew operational viability before mortality rises in oceanic voyages, highlighting hidden failure risks in early navigation.

Key Points

  • To formulate a minimal dynamical model coupling crew health deterioration and mortality with resource depletion during early transoceanic expeditions.
  • Constructed a compartmental ordinary differential equation system categorizing crew members as healthy, ill, or dead, coupled to an onboard provision variable.
  • Modeled disease transmission and incidence as a nonlinear function of remaining food, water, and sanitary conditions.
  • Analyzed the transient regime across varying voyage durations and initial provisioning levels to evaluate operational viability versus demographic survival.
  • Resource depletion substantially reduces the healthy and operational fraction of the crew well before overall survival declines, establishing a distinct divergence between operational capability and survival.
  • Higher initial provisioning levels delay the crossover point where ill individuals outnumber healthy crew members and prolong the period of operational functionality.
  • Critical provisioning time, defined as the time required for onboard supplies to drop below a stress threshold, scales approximately linearly with the initial resource buffer.

Cite This Study

Nuno Crokidakis (2026) studied this question.

synapsesocial.com/papers/6aa7b2f70926e14a848b1995https://doi.org/10.1142/s0129183127501531
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