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Within this chapter, we examine the dynamic behavior of a delayed stochastic epidemiological SIQS model under the effect of Lévy noise and media coverage. First, we present the associated stochastic differential system with delay times and Lévy process. Then, the global positive solution’s existence and uniqueness for the stochastic model have been proven, on the basis of stochastic analysis techniques and a suitable Lyapunov function under appropriate assumptions. We subsequently determine a sufficient condition for disease extinction. Additionally, we analyze the model’s mean persistence

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Stochastic Dynamical Analysis for SIQS Infectious Disease Model with Lévy Jumps, Time Delay and Media Coverage

  • 章节

  • 发表日期：

    2025年

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  • Brahim Boutkhamouine,
  • Yassine Sabbar,
  • Mohammed Moumni,
  • A. A. Elsadany,
  • Waleed Adel

摘要

Within this chapter, we examine the dynamic behavior of a delayed stochastic epidemiological SIQS model under the effect of Lévy noise and media coverage. First, we present the associated stochastic differential system with delay times and Lévy process. Then, the global positive solution’s existence and uniqueness for the stochastic model have been proven, on the basis of stochastic analysis techniques and a suitable Lyapunov function under appropriate assumptions. We subsequently determine a sufficient condition for disease extinction. Additionally, we analyze the model’s mean persistence