Computational Framework of the SVIR Epidemic Model with a Non-Linear Saturation Incidence Rate
, Adil Khurshaid 2, Zeeshan 1, Sultan Alyobi 3, Mansour F. Yassen 4,5 and Din Prathumwan 6,*
Round 1
Reviewer 1 Report
Reviewer :
This paper has been written well and it is useful for the readers (i.e., academia and industrial engineers/ practitioners). However, there are several issues that need to clarify before proceeding to publications. These are listed as follows:
1. I think the title needs to be reformulated to become more "friendly".
2. The Introduction section must be more concise.
3. Although the language is quite good, the author is advised to check the writing carefully to eliminate some inaccurate sentences and expressions.
4. Punctuations are used randomly. Insert commas or full stops after each and every equation accordingly.
5. The conclusion must be improved and some sentences should be rewritten.
6. I think, the authors must strengthen the References section with some articles that use the same techniques, to make the techniques used more plausible, for instance:
*
Analytical solutions of time-fractional heat order for a magneto-photothermal semiconductor medium with Thomson effects and initial stressResults in Physics,
Effect of rotation and magnetic field on a numerical-refined heat conduction in a semiconductor medium during photo-excitation processes
, A numerical method for solving the Rubella ailment disease model , *Constructions of solitary travelling wave solutions for Ito integro-differential equation arising in plasma physics ,*Numerical solution and dynamical behaviors for solving fractional nonlinear Rubella ailment disease model
,I accept the paper after a minor revision.
Author Response
The point-by-point responses are attached
Author Response File: 
Author Response.pdf
Reviewer 2 Report
The work is well prepared. We thank the researchers for their efforts. Only in some parts the font has changed. They must be arranged. References and topic up to date. I think the work is acceptable.
Author Response
The point-by-point responses are attached
Author Response File: Author Response.pdf
Reviewer 3 Report
In this Manuscript, the authors have developed an autonomous non-linear epidemic model for the transmission dynamics of SVIR model with non-linear saturation incidence and vaccination rates. To approximate the solution, they used Runge-Kutta (RK4) method. The model was also solved using Euler and Euler modified techniques, and the results were compared numerically and graphically. I would recommend publication of the manuscript in Axioms provided that the following issues.
· The similarity index is % 28, it is not good but acceptable.
· In the introduction section, a literature review has not included the latest studies. It should contain scientific studies currently submitted to the literature.
· The information given in the introduction is away from the main topic of the article, and untidy.
· To investigate the dynamical behaviour of the model, they should examine whether the solution is existence and solution ranges.
· It should be analysed the existence of equilibrium points and stability, to be able to make the discussion about death rate, vaccinated and infected people rate in populations, under that criteria.
· This article is scientifically weak as no such mathematical analysis has been done.
Therefore, the manuscript can not be accepted to be published in this valuable journal.
With my best regards,
Author Response
The point-by-point responses are attached
Author Response File: Author Response.pdf
Reviewer 4 Report
See the attachment!
Comments for author File: Comments.pdf
Author Response
The point-by-point responses are attached
Author Response File: Author Response.pdf
Reviewer 5 Report
1. The abstract is not to the point. The authors must improve and polish their abstracts.
2. The authors must add novelty in the introduction section.
3. The authors must improve their English.
4. What is equation 2.5?
5. Figures 2 and 3 are not correct in some sub-figures one can see just a line but the legend contains 4 lines.
6. The authors must revise the whole manuscript, for English, grammar, typos and punctuation.
7. The authors are advised to check and revise their references. Must add recent references in the references section.
Author Response
The point-by-point responses are attached
Author Response File: Author Response.pdf
Round 2
Reviewer 3 Report
Dear Authors,
I would like to thank you for your valuable effort to improve the manuscript. This version is more better than the first version. It has more detailed mathematical analysis better understand the procedure of the methods. I think this version may be accepted to be published in the Axioms.
Best regards,
Reviewer 4 Report
The revised paper can be accepted for publication.
Reviewer 5 Report
The authors should revise the whole manuscript.
