Abstract
AbstractShort-term human movements play a major part in the transmission and control of COVID-19, within and between countries. Such movements are necessary to be included in mathematical models that aim to assist in understanding the transmission dynamics of COVID-19. A two-patch basic mathematical model for COVID-19 was developed and analyzed, incorporating short-term human mobility. Here, we modeled the human mobility that depended on its epidemiological status, by the Lagrangian approach. A sharp threshold for disease dynamics known as the reproduction number was computed. Particularly, we portrayed that when the disease threshold is less than unity, the disease dies out and the disease persists when the reproduction number is greater than unity. Optimal control theory was also applied to the proposed model, with the aim of investigating the cost-effectiveness strategy. The findings were further investigated through the usage of the results from the cost objective functional, the average cost-effectiveness ratio (ACER), and then the infection averted ratio (IAR).
Publisher
Springer Science and Business Media LLC
Reference74 articles.
1. Cases, Data, and Surveillance. Centers for Disease Control and Prevention. 11 February 2020. Retrieved 11 February 2021.
2. World Health Organization (WHO) Q and A on coronaviruses (COVID-19). https://www.who.int/emergencies/diseases/novel-coronavirus-2019/question-and-answers-hub/q-a-detail/q-a-coronaviruses (Accessed July 16 2021).
3. CDC, Centers for disease control and prevention, Symptoms of COVID-19. https://www.cdc.gov/coronavirus/2019-ncov/symptoms-testing/symptoms.html/ (2021).
4. Chen, T., Rui,J., Wang, Q., Zhao, Z., Cui, J. & Yin, L. A mathematical model for simulating the phase-based transmissibility of a novel coronavirus. Infect. Dis. Poverty 9(1) (2020).
5. He, S., Tang, S. & Rong, L. A discrete stochastic model of the COVID-19 outbreak: Forecast and control. Math. Biosci. Eng. 17(4), 2792–2804 (2020).
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献