| ANALYSIS OF A DEGENERATED DIFFUSION SVEQIRV EPIDEMIC MODEL WITH GENERAL INCIDENCE IN A SPACE HETEROGENEOUS ENVIRONMENT |
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| 引用本文： | Yunqiang Yuan,Yantao Luo,Zhidong Teng. ANALYSIS OF A DEGENERATED DIFFUSION SVEQIRV EPIDEMIC MODEL WITH GENERAL INCIDENCE IN A SPACE HETEROGENEOUS ENVIRONMENT[J]. Journal of Applied Analysis & Computation, 2024, 14(5) |
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| 作者姓名： | Yunqiang Yuan Yantao Luo Zhidong Teng |
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| 摘 要： | 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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| 收稿时间： | 2023-09-19 |
| 修稿时间： | 2024-02-16 |
ANALYSIS OF A DEGENERATED DIFFUSION SVEQIRV EPIDEMIC MODEL WITH GENERAL INCIDENCE IN A SPACE HETEROGENEOUS ENVIRONMENT |
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| Affiliation: | College of Mathematics and Systems Science, Xinjiang University, Urumqi 830017, P.R. China,College of Mathematics and Systems Science, Xinjiang University, Urumqi 830017, P.R. China,College of Mathematics and Systems Science, Xinjiang University, Urumqi 830017, P.R. China |
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| Abstract: | |
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| Keywords: | Dynamical model spatial heterogeneity global exponential attractor numerical simulations |
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