Influence of Transfer Epidemiological Processes on the Formation of Endemic Equilibria in the Extended SEIS Model

Round 1

Reviewer 1 Report

Comments and Suggestions for Authors

Please find attached a pdf file with the review report.

Comments for author File: Comments.pdf

Author Response

We thank the referees for careful reading of our manuscript and the useful comments.  

We have now improved our manuscript according to the referee’s advises: Now we rewrote subsection 8, we added new figures into subsections 8, we rewrote some pieces in the paper (new text is written in green background), and also we corrected typos and added new references. We hope that our manuscript is now suitable for publication in the Mathematics.

Author Response File: Author Response.pdf

Reviewer 2 Report

Comments and Suggestions for Authors

The authors present an interesting study of the epidemiological constants (infection transmission rates) of the SEIS model by incorporating two different mechanisms of infection transmission: transport processes and social contacts. Using a physical kinetics approach, the authors were able to estimate these constants using physical parameters such as the density of people in the city, the distance that an exhaled aerosol particle can move horizontally relative to the ground surface, and the distance that this particle can move vertically under the influence of gravity. This is a rather original approach. Of course, the equilibrium analysis of the SEIS equations is well known, but it is nice to present it again for the sake of completeness. The paper is well wrtten although the authors use some unusual terms, such as "go over" instead of "consider". It is a good contribution to the SI Mathematical Methods and Models in Epidemiology.

Since in the model examined in the paper recovered individuals can be reinfected, there is no class R, and so it is misleading to call the model SEIR. It is a SEIS model. In fact, equations (1)-(3) only describe the evolution of classes S, E and I.  The authors should correct this. 

Line 29:  "one" should be removed

Line 197: " from" should be removed

Line 239: "mwhich", correct

In figure legends: lx and ly are measured in meters ("pointed out" in meters sounds odd).

 

Author Response

We thank the referees for careful reading of our manuscript and the useful comments.  

We have now improved our manuscript according to the referee’s advises: Now we rewrote subsection 8, we added new figures into subsections 8, we rewrote some pieces in the paper (new text is written in green background), and also we corrected typos and added new references. We hope that our manuscript is now suitable for publication in the Mathematics.

Author Response File: Author Response.pdf