| Volume 15, Number 2, 2025, Pages - DOI：10.11948/JAAC-2024-0121 |
| Global dynamics of a reaction-diffusion SEIVQR epidemic model in almost periodic environments |
| Yifan Xing,Hong-Xu Li |
| Keywords:Reaction-diffusion, Almost periodicity, Upper Lyapunov exponent, Threshold dynamics. |
| Abstract: |
| We have formulated an almost periodic reaction-diffusion SEIVQR epidemic model that
incorporates quarantine, vaccination, and a latent period. In contrast to prior methods
that analyze stability by using Lyapunov functions, we establish the global threshold dynamics
of this model by using the upper Lyapunov exponent $\lambda^*$. Our results demonstrate that the
disease-free almost periodic equilibrium is globally asymptotically stable if $\lambda^*<0$,
whereas the disease uniformly persists if $\lambda^*>0$. To further validate our conclusions,
we conducted numerical simulations of the model. |
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