Fuzzy Analysis of SVIRS Disease System with Holling Type-II Saturated Incidence Rate and Saturated Treatment

This article presents a fuzzy SVIRS disease system with Holling type-II saturated incidence rate and saturated treatment, in which all parameters related to population dynamics have been considered as fuzzy numbers. Then, the existence condition and permanence of the SVIRS model have been discussed...

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Bibliographic Details
Published in:Mathematical problems in engineering 2022-08, Vol.2022, p.1-19
Main Authors: Zhang, Hu, Madhusudanan, V., Murthy, B. S. N., Srinivas, M. N., Adugna, Biruk Ambachew
Format: Article
Language:English
Subjects:
Disease transmission
Engineering
Epidemiology
Fuzzy logic
Fuzzy sets
Infections
Infectious diseases
Influenza
Investigations
Mathematical models
Measles
Modelling
Parameters
Risk analysis
Risk assessment
Routh-Hurwitz criterion
Simulation
Stability
Utility functions
Vaccines
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Summary:This article presents a fuzzy SVIRS disease system with Holling type-II saturated incidence rate and saturated treatment, in which all parameters related to population dynamics have been considered as fuzzy numbers. Then, the existence condition and permanence of the SVIRS model have been discussed and we derived disease-free and endemic equilibrium points of the proposed fuzzy system. The local stability conditions of the fuzzy system around these equilibrium points using Routh–Hurwitz criteria are discussed. We also verified global stability around the interior steady state using Lozinskii measure. Computer simulations are provided to understand the dynamics of the proposed system. Parameter analysis is carried out with the help of computer simulation. Fuzzy provides better solution for any disease modeling in many ways like disease detection and transmission, different stages of disease, risk analysis (through parameter analysis), and optimal recovery solutions. Earlier literature acts as background to startup this disease modeling and optimal solutions provided by fuzzy logic is one of the motivational key element behind this fuzzy SVIRS model with Holling type-II and its analysis by both analytical and computer simulation.
ISSN:1024-123X
1563-5147
DOI:10.1155/2022/1330875