ArticleEuropean physical journal plus2021
Bifurcation analysis of a discrete-time compartmental model for hypertensive or diabetic patients exposed to COVID-19.
Article in European physical journal plus, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 13 papers.
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Who cites it
13 citing papers in PubMed.
- A nonlinear mathematical model on the Covid-19 transmission pattern among diabetic and non-diabetic population.Mathematics and computers in simulation · 2023Article
- Modeling SARS-CoV-2 and HBV co-dynamics with optimal control.Physica A · 2023Article
- Global asymptotic stability, extinction and ergodic stationary distribution in a stochastic model for dual variants of SARS-CoV-2.Mathematics and computers in simulation · 2023Article
- Optimal control and cost-effectiveness analysis for a COVID-19 model with individual protection awareness.Physica A · 2022Article
- A fractional-order model with different strains of COVID-19.Physica A · 2022Article
- Fractal-fractional operator for COVID-19 (Omicron) variant outbreak with analysis and modeling.Results in physics · 2022Article
- A Dynamically Consistent Nonstandard Difference Scheme for a Discrete-Time Immunogenic Tumors Model.Entropy (Basel, Switzerland) · 2022Article
- Backward bifurcation and optimal control in a co-infection model for SARS-CoV-2 and ZIKV.Results in physics · 2022Article
- A fractional order model for the co-interaction of COVID-19 and Hepatitis B virus.Results in physics · 2022Article
- Mathematical modeling and stability analysis of the COVID-19 with quarantine and isolation.Results in physics · 2022Article
- Modeling and optimal control of mutated COVID-19 (Delta strain) with imperfect vaccination.Chaos, solitons, and fractals · 2022Article
- When Do We Need Massive Computations to Perform Detailed COVID-19 Simulations?Advanced theory and simulations · 2022Article
- Qualitative analysis of a discrete-time phytoplankton-zooplankton model with Holling type-II response and toxicity.Advances in difference equations · 2021Article
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5 authors.
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Abstract
In this article, a mathematical model for hypertensive or diabetic patients open to COVID-19 is considered along with a set of first-order nonlinear differential equations. Moreover, the method of piecewise arguments is used to discretize the continuous system. The mathematical system is said to reveal six equilibria, namely, extinction equilibrium, boundary equilibrium, quarantined-free equilibrium, exposure-free equilibrium, endemic equilibrium, and the equilibrium free from susceptible population. Local stability conditions are developed for our discrete-time mathematical system about each of its equilibrium point. The existence of period-doubling bifurcation and chaos is studied in the absence of isolated population. It is shown that our system will become unstable and experiences the chaos when the quarantined compartment is empty, which is true in biological meanings. The existence of Neimark-Sacker bifurcation is studied for the endemic equilibrium point. Moreover, it is shown numerically that our discrete-time mathematical system experiences the period-doubling bifurcation about its endemic equilibrium. To control the period-doubling bifurcation, Neimark-Sacker bifurcation, a generalized hybrid control methodology is used. Moreover, this model is analyzed along with generalized hybrid control in order to eliminate chaos and oscillation epidemiologically presenting the significance of quarantine in the COVID-19 environment.
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