QUALITATIVE ANALYSIS OF A DIFFUSIVE COVID-19 MODEL WITH NON-MONOTONE INCIDENCE RATE

Mengxin Chen; Ranchao Wu; Qianqian Zheng

doi:10.11948/20220450

2023 Volume 13 Issue 4

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Article navigation > Journal of Applied Analysis & Computation > 2023 > 13(4): 2229-2249

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Mengxin Chen, Ranchao Wu, Qianqian Zheng. QUALITATIVE ANALYSIS OF A DIFFUSIVE COVID-19 MODEL WITH NON-MONOTONE INCIDENCE RATE[J]. Journal of Applied Analysis & Computation, 2023, 13(4): 2229-2249. doi: 10.11948/20220450

Citation:

Mengxin Chen, Ranchao Wu, Qianqian Zheng. QUALITATIVE ANALYSIS OF A DIFFUSIVE COVID-19 MODEL WITH NON-MONOTONE INCIDENCE RATE[J]. Journal of Applied Analysis & Computation, 2023, 13(4): 2229-2249. doi: 10.11948/20220450

QUALITATIVE ANALYSIS OF A DIFFUSIVE COVID-19 MODEL WITH NON-MONOTONE INCIDENCE RATE

1.
College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China
2.
School of Mathematical Sciences, Anhui University, Hefei 230601, China
3.
School of Science, Xuchang University, Xuchang 461000, China

Author Bio: Email: chmxdc@163.com(M. Chen); Email: zhengqianqian35@163.com(Q. Zheng)
Corresponding author: Email: rcwu@ahu.edu.cn (R. Wu)
Fund Project: This work was supported by the National Natural Science Foundation of China (Nos. 11971032, 12002297) and China Postdoctoral Science Foundation (No. 2021M701118)

Abstract

Abstract

The paper is concerned with a diffusive susceptible-asymptomatic-infected-recovered-type COVID-19 model with non-monotone incidence rate and homogeneous zero-flux boundary conditions. First the boundedness results of the diffusive COVID-19 model are established by the technique of the comparison principle of the parabolic equations. Then, we turn our attention to the corresponding elliptic equations. A priori estimates of the solutions are given, some properties of the positive steady states and nonexistence conditions of the positive steady states are presented by energy estimates. It is found that the diffusion rate of the proposed diffusive COVID-19 model could affect the existence of the nonconstant steady states. These qualitative results will give some theoretical insights into the diffusive COVID-19 model with non-monotone incidence rate.
- Diffusive COVID-19 model /
- non-monotone incidence rate /
- non-constant steady states
MSC: 35K57, 35B50

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References

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