| Volume 14, Number 5, 2024, Pages - DOI：10.11948/JAAC-2023-0346 |
| ANALYSIS OF A DEGENERATED DIFFUSION SVEQIRV EPIDEMIC MODEL WITH GENERAL INCIDENCE IN A SPACE HETEROGENEOUS ENVIRONMENT |
| Yunqiang Yuan,Yantao Luo,Zhidong Teng |
| Keywords:Dynamical model, spatial heterogeneity, global exponential attractor, numerical simulations |
| Abstract: |
| Considering the comprehensive impact of vaccination, quarantine and spatial heterogeneity on diseases dynamics, this paper formulates an SVEQIRV model with degenerate diffusion. Firstly, we discuss the well-posedness of the model solution. Then, we analyze the dynamic properties of model by using the semigroup theory and the global exponential attractor theory. We use the threshold feature λ? which is the principal eigenvalue of the eigenvalue problem associated with the linearized system at the disease free equilibrium, to describe the transmission dynamics of epidemics. The results show that the disease-free equilibrium is globally asymptotically stable when λ? < 0 and the system is uniformly persistent when λ? > 0. Finally, some numerical simulations and the sensitivity analysis are conducted to visualize the theoretical results and the effect of vaccination rate on disease dynamics. |
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