| Citation: |
Yifan Xing, Hong-Xu Li. GLOBAL DYNAMICS OF A REACTION-DIFFUSION SEIVQR EPIDEMIC MODEL IN ALMOST PERIODIC ENVIRONMENTS[J]. Journal of Applied Analysis & Computation, 2025, 15(2): 762-785. doi: 10.11948/20240121
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GLOBAL DYNAMICS OF A REACTION-DIFFUSION SEIVQR EPIDEMIC MODEL IN ALMOST PERIODIC ENVIRONMENTS
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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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References
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Yifan Xing, Hong-Xu Li. GLOBAL DYNAMICS OF A REACTION-DIFFUSION SEIVQR EPIDEMIC MODEL IN ALMOST PERIODIC ENVIRONMENTS[J]. Journal of Applied Analysis & Computation, 2025, 15(2): 762-785. doi: 10.11948/20240121
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Figure 1.
Almost periodic solution curves for the model (2.6) with initial values as
$ u^1(0, x) $ $ \lambda^*<0 $ -
Figure 2.
Almost periodic solution curves for the model (2.6) with initial values as
$ u^1(0, x) $ $ \lambda^*>0 $ -
Figure 3.
Almost periodic solution curves for the model (2.6) with initial values as
$ u^2(0, x) $ $ \lambda^*>0 $