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In this chapter, we investigate a class of multi-strain SEIR epidemic models with random perturbations. Here, we establish the unique global positive solution, analyze system extinction, and demonstrate the existence and uniqueness of a stationary distribution with ergodic features. The probability density function surrounding the quasi-endemic equilibrium, which is required for persistence, can be obtained by solving the Fokker-Planck equation. Eventually, we present numerical simulations and examples to verify our theoretical results.

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Dynamics on Stationary Distribution and Probability Density Function of a  \((2n+2)\) Multi-Strain Stochastic Epidemic Model

  • 章节

  • 发表日期：

    2025年

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  • S. P. Rajasekar,
  • M. Manju Priya

摘要

In this chapter, we investigate a class of multi-strain SEIR epidemic models with random perturbations. Here, we establish the unique global positive solution, analyze system extinction, and demonstrate the existence and uniqueness of a stationary distribution with ergodic features. The probability density function surrounding the quasi-endemic equilibrium, which is required for persistence, can be obtained by solving the Fokker-Planck equation. Eventually, we present numerical simulations and examples to verify our theoretical results.