#Ma2 multipatch how to#
#Ma2 multipatch Patch#

Furthermore, how to study the spread of COVID-19 in a multipatch environment is an interesting and important topic. Therefore, it is necessary to study the epidemic model of multipatch. , and it showed that the basic reproduction number was strictly decreasing with respect to the dispersal rate of the infected individuals.

#Ma2 multipatch Patch#

The dynamics of an SIS epidemic patch model with the asymmetric connectivity matrix was analyzed by Chen et al. The effects of heterogeneity in groups, patches, and mobility patterns on the basic reproduction number and disease prevalence were explored by Bichara et al. Driessche and Salmani gave an SEIRS model of p-patch and analyzed the stability of the disease-free equilibrium point. focused on a delayed multigroup SIS epidemic model with nonlinear incidence rates and patch structure. to study the impact of travel on the spatial spread of dog rabies between patches with different level of disease prevalence.

A two-patch SEIRS epidemic model was proposed by Liu et al.

found that the possibility of disease persisting in patches and spreading epidemic increased during transportation. Li showed that pattern transition from stationary pattern to patch invasion appears to be possible in a fully deterministic parasite-host model. proposed a spatial infectious disease model with migration which has the potential value for disease control. Driessche and Arino established an epidemic patch model for n cities and analyzed the impact of population mobility on spatial distribution. Sattenspiel and Herring presented a population flow model with n-patch and studied the dynamic behavior of the model. Hethcote presented a model for migration between the two patches and studied the impact for migration on infectious diseases. With the rapid development of transportation, population migration among different regions has been one of the important factors to study the spread of epidemic. However, it is rare to establish a generalized multipatch SEIR epidemic model to study the impact of population migration and quarantine on the basic reproduction number. investigated the urban resilience level, spatial differentiation, and dominant elements in the middle reaches of the Yangtze River under the COVID-19 pandemic. used a mathematical model to study the role of behavior change in slowing the spread of COVID-19 in Saudi Arabia. In, the Susceptible-Infectious-Recovered (SIR) epidemic model was proposed and explained by logistic equation. proposed a framework to predict the prevalence of COVID-19 in different countries and cities. Based on heart rate and sleep data collected from wearables, Zhu et al. established a Susceptible-Exposed-Infectious-Recovered (SEIR) model, and the basic reproduction was estimated. performed a multiscale dynamic analysis of COVID-19 outbreak in Italy to show changes at different geographic scales. proposed an SEIRS epidemic model to explore coronavirus infection and suggested that susceptible individuals can avoid infection by taking appropriate precautions. presented a transmission network model and calculated the basic reproduction number of the model, which showed that COVID-19 has a higher infection rate than SARS but less than MERS. obtained that an average incubation period is 5 days for COVID-19 by statistical analysis of epidemic data. isolated COVID-19 from pneumonia patient samples and found that it belongs to the seventh member of the coronavirus family. How to reduce or control the spread of this epidemic has attracted much attention from various communities. In fact, COVID-19 is one of the most serious viruses for human beings. According to the data on August 24, 2021, of World Health Organization, the number of confirmed cases has increased to 211,730,035 and the number of confirmed deaths cases has increased to 4,430,697. The coronavirus disease 2019 (COVID-19) has spread to more than 200 countries worldwide, which has a significant impact on economy development, social stability, and people’s daily life. The influence of quarantined rate and population migration rate on the spread of COVID-19 is also discussed by simulation. The transmission of COVID-19 is fitted based on actual data. Then, the dynamic behavior is studied by the basic reproduction number. It is shown that there is unique disease-free equilibrium for this model. In this paper, an -patch SEIR epidemic model for the coronavirus disease 2019 (COVID-19) is presented.