Global Stability of Multi-Strain SEIR Epidemic Model with Vaccination Strategy

Round 1

Reviewer 1 Report

I recommend for publication in this journal. Paper is well write.

Improve english and remove grammatical mistakes.

Author Response

Authors responses to referee remarks to the paper

Global stability of multi-strain SEIR epidemic model with vaccination strategy

I recommend for publication in this journal. Paper is well writen.

Thank you and we are very grateful to the referee for appreciating our work.

Improve english and remove grammatical mistakes.

We have done our best in this direction.

Author Response File: Author Response.docx

Reviewer 2 Report

I think this paper is fine and can be published, but the authors should improve the introduction and conclusion. The authors should write more about the numerical simulation, what is the advantage of this example for the world? Can we control this epidemic by this method? Explain more about the model solved in this paper. And compare the results with the other methods. 

Author Response

Authors responses to referee remarks to the paper

Global stability of multi-strain SEIR epidemic model with vaccination strategy

We are very grateful to the referees for their valuable remarks. We have taken into consideration the remarks in the revised version (text in blue). Detailed responses are given below.

1. The authors should improve the introduction and conclusion

The introduction and conclusion are improved.

2. The authors should write more about the numerical simulation, what is the advantage of this example for the world? Can we control this epidemic by this method? Explain more about the model solved in this paper. And compare the results with the other methods.

Explanation has been added in the numerical simulation part. For epidemic control and comparison will be considered in our next multi strain work.

Author Response File: Author Response.docx

Reviewer 3 Report

I have some observations answer in needed. I recommend a major revision.

The readability and presentation of the study should be further improved.

The overall quality of the paper is in general, and the implementation aspect is clear.

The topic of this paper is of great interest. 

The superiority of the proposed approach must be compared with other established works.

The importance of the design carried out in this manuscript can be explained better than other important studies published in this field. I recommend the authors to review other recently developed works.

What makes the proposed method suitable for this unique task? What new development to the proposed method have the authors added (compared to the existing approaches)? These points should be clarified.

The performance of the proposed method should be better analyzed, commented and studied in more detail.

Enhance your figures. Some figures are doubtful like Fig. 2 and 3.

Explain the detail of figures, what a dynamics represent?

You may read the following work for improvement of a paper, visit nonstandard finite difference method in the sense of fractional modeling, spatio temporal modeling and many more. This new research may be helpful to extend future research.

Author Response

Authors responses to referee remarks to the paper

Global stability of multi-strain SEIR epidemic model with vaccination strategy

We are very grateful to the referees for their valuable remarks. We have taken into consideration the remarks in the revised version (text in blue). Detailed responses are given below.

1. The readability and presentation of the study should be further improved.

We have done our best to improve the suggested directions.

2. The superiority of the proposed approach must be compared with other established works.

The importance of the design carried out in this manuscript can be explained better than other important studies published in this field. I recommend the authors to review other recently developed works

We have developed some recent works. The comparison and numerical data can be subject of a future remark.

3. What makes the proposed method suitable for this unique task? What new development to the proposed method have the authors added (compared to the existing approaches)? These points should be clarified.

Sentences have been added in the part of numerical simulation to explain more the work.

4. The performance of the proposed method should be better analyzed, commented and studied in more detail.

Enhance your figures. Some figures are doubtful like Fig. 2 and 3.

Explain the detail of figures, what a dynamics represent?

Thank you very much. We have improved the figures by adding Zoom figures in each figure and we have developed the discussion of each figure to explain the stability of each equilibrium.

Author Response File: Author Response.docx

Round 2

Reviewer 3 Report

I recommend major revision. Did you read the following work for stochastic analysis. 

Comparative analysis of numerical with optical soliton solutions of stochastic Gross–Pitaevskii equation in dispersive media

, Design of Generalized Non-standard Computational Method for the Solution of Stochastic Fractional Malaria Epidemic Model

Numerical scheme and stability analysis of stochastic Fitz Hugh Nagumo model

Analysis of a nonstandard computer method to simulate a nonlinear stochastic epidemiological model of coronavirus-like diseases

I do not recommend its citations. read and follow its stability for the improvement of paper.

Author Response

Authors responses to referee remarks to the paper

Global stability of multi-strain SEIR epidemic model with vaccination strategy

I recommend major revision. Did you read the following work for stochastic analysis….

Thank you and we are very grateful to the referee for reviewing our work. Indeed, we have used one of the methods in the suggested works. We have cited one of them.

Author Response File: Author Response.docx