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<p>We derive a homogenized limit for a stochastic predator–prey model featuring a nonlinear functional response and coefficients varying on a microscopic scale. The proof relies on the stochastic sigma-convergence method. By establishing tightness via the Prokhorov theorem and invoking the Skorokhod representation theorem, we demonstrate the weak convergence of the solution sequence to the unique solution of a homogenized stochastic differential equation with averaged coefficients.</p>

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Homogenization of stochastic predator–prey model with nonlinear functional response

  • 期刊论文

  • 发表日期：

    2026年4月18日

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  • Aurelien Fouetio,
  • Evaristus Chuyeh Nfor

摘要

We derive a homogenized limit for a stochastic predator–prey model featuring a nonlinear functional response and coefficients varying on a microscopic scale. The proof relies on the stochastic sigma-convergence method. By establishing tightness via the Prokhorov theorem and invoking the Skorokhod representation theorem, we demonstrate the weak convergence of the solution sequence to the unique solution of a homogenized stochastic differential equation with averaged coefficients.