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A Restricted SIR Model with Vaccination Effect for the Epidemic Outbreaks Concerning COVID-19

Computer Modeling in Engineering & Sciences 2023年第12期137卷 2409-2425页

作者： Ibtehal Alazman Kholoud Saad Albalawi pranay goswami Kuldeep Malik Department of Mathematics and Statistics College of ScienceImam Mohammad Ibn Saud Islamic UniversityRiyadh11566Saudi Arabia School of Liberal Studies Dr.B.R.Ambedkar University DelhiDelhi110006India

This paper presents a restricted SIRmathematicalmodel to analyze the evolution of a contagious infectious disease outbreak(COVID-19)using available *** new model focuses on two main concepts:first,it can present multiple waves of the disease,and second,it analyzes how far an infection can be eradicated with the help of *** stability analysis of the equilibrium points for the suggested model is initially investigated by identifying the matching equilibrium points and examining their *** basic reproduction number is calculated,and the positivity of the solutions is *** simulations are performed to determine if it is multipeak and evaluate vaccination’s *** addition,the proposed model is compared to the literature already published and the effectiveness of vaccination has been recorded.

关键词： Restricted SIR model equilibrium points and stability numerical simulation

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Solution of Modified Bergman Minimal Blood Glucose-Insulin Model Using Caputo-Fabrizio Fractional Derivative

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Computer Modeling in Engineering & Sciences 2021年第9期128卷 1247-1263页

作者： Ravi Shanker Dubey Dumitru Baleanu Manvendra Narayan Mishra pranay goswami Department of Mathematics AMITY School of Applied ScienceAMITY University RajasthanJaipur302022India Department of Mathematics and Computer Sciences Cankaya UniversityBalgat06530Turkey Institute of Space Sciences Magurele-BucharestR76900Romania School of Liberal Studies Dr.B.R.Ambedkar University DelhiDelhi110006India

Diabetes is a burning issue in the whole *** is the imbalance between body glucose and *** study of this imbalance is very much needed from a research point of *** this reason,Bergman gave an important model named-Bergman *** the present work,using Caputo-Fabrizio(CF)fractional derivative,we generalize Bergman’s minimal blood glucose-insulin ***,we modify the old model by including one more component known as diet D(t),which is also essential for the blood glucose *** solve the modified modelwith the help of Sumudu transformand fixed-point iteration ***,using the fixed point theorem,we examine the existence and uniqueness of the results along with their numerical and graphical ***,the comparison between the values of parameters obtained by calculating different values of t with experimental data is also ***,we draw the graphs of G(t),X(t),I(t),andD(t)for different values ofτ.It is also clear from the obtained results and their graphical representation that the obtained results of modified Bergman’s minimal model are better than Bergman’s model.

关键词： Bergman minimal model blood glucose Caputo-Fabrizio fractional derivative uniqueness and existence fractional calculus

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