ArticlePartial differential equations in applied mathematics : a spin-off of Applied Mathematics Letters2022
Stability analysis and Hopf bifurcation in fractional order
Article in Partial differential equations in applied mathematics : a spin-off of Applied Mathematics Letters, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
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7 citing papers in PubMed, 35 citations in OpenAlex.
- Numerical solution of neutral delay differential equations using orthogonal neural network.Scientific reports · 2023Article
- Article
- Fractal-fractional age-structure study of omicron SARS-CoV-2 variant transmission dynamics.Partial differential equations in applied mathematics : a spin-off of Applied Mathematics Letters · 2022Article
- Clinical effects of 2-DG drug restraining SARS-CoV-2 infection: A fractional order optimal control study.Journal of biological physics · 2022Article
- An Enhanced SEIR Model for Prediction of COVID-19 with Vaccination Effect.Life (Basel, Switzerland) · 2022Article
- Study of Fractional Order SEIR Epidemic Model and Effect of Vaccination on the Spread of COVID-19.International journal of applied and computational mathematics · 2022Article
- Study of a Nonlinear System of Fractional Differential Equations with Deviated Arguments Via Adomian Decomposition Method.International journal of applied and computational mathematics · 2022Review
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4 authors at 2 institutions in 1 country.
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Abstract
Infectious diseases have been a constant cause of disaster in human population. Simultaneously, it provides motivation for math and biology professionals to research and analyze the systems that drive such illnesses in order to predict their long-term spread and management. During the spread of such diseases several kinds of delay come into play, owing to changes in their dynamics. Here, we have studied a fractional order dynamical system of susceptible, exposed, infected, recovered and vaccinated population with a single delay incorporated in the infectious population accounting for the time period required by the said population to recover. We have employed Adam-Bashforth-Moulton technique for deriving numerical solutions to the model system. The stability of all equilibrium points has been analyzed with respect to the delay parameter. Utilizing actual data from India COVID-19 instances, the parameters of the fractional order SEIRV model were calculated. Graphical demonstration and numerical simulations have been done with the help of MATLAB (2018a). Threshold values of the time delay parameter have been found beyond which the system exhibits Hopf bifurcation and the solutions are no longer periodic.
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