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<p>Considering the saturated incidence rate, this paper proposes a novel stochastic model for rumor dissemination in the bilingual environment. Both the deterministic model and its stochastic form incorporating random disturbances are introduced in this paper. For the deterministic I2SOR rumor propagation model, the properties of the solution are analyzed, and the equilibrium points and the basic reproduction number (BRN) are calculated. Then, the conditions for local asymptotic stability (LAS) of the equilibria are studied. To analyze the stochastic model, we firstly verify the existence of a unique global positive solution. Then the sufficient criteria for rumor extinction, persistence and co-persistence are obtained using Itǒ’s formula and the strong law of large numbers. Finally, numerical examples are given to validate the findings.</p>

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Dynamical Analysis of a Stochastic I2SOR Rumor Propagation Model with Saturated Incidence Rate

  • 期刊论文

  • 发表日期：

    2025年9月3日

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  • Panpan Zhao,
  • Xin Zhang,
  • Chuan Zhang,
  • Yingxin Guo

摘要

Considering the saturated incidence rate, this paper proposes a novel stochastic model for rumor dissemination in the bilingual environment. Both the deterministic model and its stochastic form incorporating random disturbances are introduced in this paper. For the deterministic I2SOR rumor propagation model, the properties of the solution are analyzed, and the equilibrium points and the basic reproduction number (BRN) are calculated. Then, the conditions for local asymptotic stability (LAS) of the equilibria are studied. To analyze the stochastic model, we firstly verify the existence of a unique global positive solution. Then the sufficient criteria for rumor extinction, persistence and co-persistence are obtained using Itǒ’s formula and the strong law of large numbers. Finally, numerical examples are given to validate the findings.