ArticleChaos, solitons, and fractals2021
Dynamic analysis of a delayed COVID-19 epidemic with home quarantine in temporal-spatial heterogeneous via global exponential attractor method.
Article in Chaos, solitons, and fractals, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 11 papers.
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11 citing papers in PubMed.
- Survey on mathematical modeling of infectious disease dynamics: insights and applications.BMC infectious diseases · 2026Review
- Global stability and analysing the sensitivity of parameters of a multiple-susceptible population model of SARS-CoV-2 emphasising vaccination drive.Mathematics and computers in simulation · 2023Article
- Optimal control and cost-effectiveness analysis of a new COVID-19 model for Omicron strain.Physica A · 2022Article
- Forecasting the transmission trends of respiratory infectious diseases with an exposure-risk-based model at the microscopic level.Environmental research · 2022Article
- How and to what extent does the anti-social behavior of violating self-quarantine measures increase the spread of disease?Chaos, solitons, and fractals · 2022Article
- Pregnant Women's Anxiety and Depression Symptoms and Influence Factors in the COVID-19 Pandemic in Changzhou, China.Frontiers in psychology · 2022Article
- Dynamics analysis and optimal control of SIVR epidemic model with incomplete immunity.Advances in continuous and discrete models · 2022Article
- Predictability of COVID-19 worldwide lethality using permutation-information theory quantifiers.Results in physics · 2021Article
- Modeling the Global Dynamic Contagion of COVID-19.Frontiers in public health · 2021Article
- The analysis of isolation measures for epidemic control of COVID-19.Applied intelligence (Dordrecht, Netherlands) · 2021Article
- The Psychological Impact of the Coronavirus Disease 2019 Pandemic on Pregnant Women in China.Frontiers in psychiatry · 2021Article
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2 authors.
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Abstract
As the COVID-19 epidemic has entered the normalization stage, the task of prevention and control remains very arduous. This paper constructs a time delay reaction-diffusion model that is closer to the actual spread of the COVID-19 epidemic, including relapse, time delay, home quarantine and temporal-spatial heterogeneous environment that affect the spread of COVID-19. These factors increase the number of equations and the coupling between equations in the system, making it difficult to apply the methods commonly used to discuss global dynamics, such as the Lyapunov function method. Therefore, we use the global exponential attractor theory in the infinite-dimensional dynamic system to study the spreading trend of the COVID-9 epidemic with relapse, time delay, home quarantine in a temporal-spatial heterogeneous environment. Using our latest results of global exponential attractor theory, the global asymptotic stability and the persistence of the COVID-19 epidemic are discussed. We find that due to the influence of relapse in the in temporal-spatial heterogeneity environment, the principal eigenvalue
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