ArticleApplied mathematical modelling2021
Design of a nonlinear model for the propagation of COVID-19 and its efficient nonstandard computational implementation.
Article in Applied mathematical modelling, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 15 papers.
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15 citing papers in PubMed, 50 citations in OpenAlex.
- Review
- Article
- Optimal control strategies for the reliable and competitive mathematical analysis of Covid-19 pandemic model.Mathematical methods in the applied sciences · 2022Article
- Modelling the impact of health care providers in transmission dynamics of COVID-19.Results in physics · 2022Article
- An Elementary Solution to a Duffing Equation.TheScientificWorldJournal · 2022Article
- Dynamical analysis of coronavirus disease with crowding effect, and vaccination: a study of third strain.Nonlinear dynamics · 2022Article
- Mathematical analysis for the effect of voluntary vaccination on the propagation of Corona virus pandemic.Results in physics · 2021Article
- Modeling the effects of the contaminated environments on COVID-19 transmission in India.Results in physics · 2021Article
- A particle swarm optimization approach for predicting the number of COVID-19 deaths.Scientific reports · 2021Review
- Nonlinear Dynamics of the Introduction of a New SARS-CoV-2 Variant with Different Infectiousness.Mathematics (Basel, Switzerland) · 2021Article
- Analysis of a nonstandard computer method to simulate a nonlinear stochastic epidemiological model of coronavirus-like diseases.Computer methods and programs in biomedicine · 2021Article
- Modeling the transmission dynamics of delayed pneumonia-like diseases with a sensitivity of parameters.Advances in difference equations · 2021Article
- Development of Explicit Schemes for Diffusive SEAIR COVID-19 Epidemic Spreading Model: An Application to Computational Biology.Iranian journal of science and technology. Transaction A, Science · 2021Article
- A time-delay COVID-19 propagation model considering supply chain transmission and hierarchical quarantine rate.Advances in difference equations · 2021Article
- Complex T-spherical fuzzy Dombi aggregation operators and their applications in multiple-criteria decision-making.Complex & intelligent systems · 2021Article
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Authors and funding
4 authors at 4 institutions in 2 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
In this manuscript, we develop a mathematical model to describe the spreading of an epidemic disease in a human population. The emphasis in this work will be on the study of the propagation of the coronavirus disease (COVID-19). Various epidemiologically relevant assumptions will be imposed upon the problem, and a coupled system of first-order ordinary differential equations will be obtained. The model adopts the form of a nonlinear susceptible-exposed-infected-quarantined-recovered system, and we investigate it both analytically and numerically. Analytically, we obtain the equilibrium points in the presence and absence of the coronavirus. We also calculate the reproduction number and provide conditions that guarantee the local and global asymptotic stability of the equilibria. To that end, various tools from analysis will be employed, including Volterra-type Lyapunov functions, LaSalle's invariance principle and the Routh-Hurwitz criterion. To simulate computationally the dynamics of propagation of the disease, we propose a nonstandard finite-difference scheme to approximate the solutions of the mathematical model. A thorough analysis of the discrete model is provided in this work, including the consistency and the stability analyses, along with the capability of the discrete model to preserve the equilibria of the continuous system. Among other interesting results, our numerical simulations confirm the stability properties of the equilibrium points.
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