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<p>This study investigates the influence of time-varying resources and environmental stochasticity on infectious disease dynamics by extending the classical SIS model. Deterministic analysis reveals complex behaviors, including bistability between (i) resource-only and resource-free states, and (ii) resource-free and disease-resource coexistence states, highlighting the critical role of resource availability in shaping disease persistence and recovery. Stochastic analysis uncovers the nonlinear effects of environmental fluctuations: moderate noise enhances transitions to resource-supported or coexistence states, while excessive noise delays transitions and prolongs recovery. These findings illustrate the intricate interactions between resource dynamics, stochastic variability and disease spread, offering a more realistic framework for understanding disease transmission.</p>

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Dynamics of a SIS Epidemic Model Under Environmental Stochasticity and Resource Availability

  • 期刊论文

  • 发表日期：

    2025年4月1日

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  • Jiayin Zhang,
  • Zhengyi Li,
  • Tao Feng

摘要

This study investigates the influence of time-varying resources and environmental stochasticity on infectious disease dynamics by extending the classical SIS model. Deterministic analysis reveals complex behaviors, including bistability between (i) resource-only and resource-free states, and (ii) resource-free and disease-resource coexistence states, highlighting the critical role of resource availability in shaping disease persistence and recovery. Stochastic analysis uncovers the nonlinear effects of environmental fluctuations: moderate noise enhances transitions to resource-supported or coexistence states, while excessive noise delays transitions and prolongs recovery. These findings illustrate the intricate interactions between resource dynamics, stochastic variability and disease spread, offering a more realistic framework for understanding disease transmission.