ArticleNonlinear dynamics2021
Numerical simulation and stability analysis of a novel reaction-diffusion COVID-19 model.
Article in Nonlinear dynamics, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 11 papers.
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11 citing papers in PubMed, 76 citations in OpenAlex.
- Optimum study of fractional polio model with exponential decay kernel.Scientific reports · 2024Article
- Gudermannian neural network procedure for the nonlinear prey-predator dynamical system.Heliyon · 2024Article
- A rigorous theoretical and numerical analysis of a nonlinear reaction-diffusion epidemic model pertaining dynamics of COVID-19.Scientific reports · 2024Article
- Predicting Covid-19 pandemic waves with biologically and behaviorally informed universal differential equations.Heliyon · 2024Article
- A numerical study of spatio-temporal COVID-19 vaccine model via finite-difference operator-splitting and meshless techniques.Scientific reports · 2023Article
- Viral kinetics, stability and sensitivity analysis of the within-host COVID-19 model.Scientific reports · 2023Article
- An analytical approach to evaluate the impact of age demographics in a pandemic.Stochastic environmental research and risk assessment : research journal · 2023Article
- Fractional study of the Covid-19 model with different types of transmissions.Kuwait journal of science · 2023Article
- Systematic description of COVID-19 pandemic using exact SIR solutions and Gumbel distributions.Nonlinear dynamics · 2023Article
- Spatial and temporal dynamics of SARS-CoV-2: Modeling, analysis and simulation.Applied mathematical modelling · 2023Article
- Modeling the transmission dynamics of delayed pneumonia-like diseases with a sensitivity of parameters.Advances in difference equations · 2021Article
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Authors and funding
5 authors at 5 institutions in 3 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
In this study, a novel reaction-diffusion model for the spread of the new coronavirus (COVID-19) is investigated. The model is a spatial extension of the recent COVID-19 SEIR model with nonlinear incidence rates by taking into account the effects of random movements of individuals from different compartments in their environments. The equilibrium points of the new system are found for both diffusive and non-diffusive models, where a detailed stability analysis is conducted for them. Moreover, the stability regions in the space of parameters are attained for each equilibrium point for both cases of the model and the effects of parameters are explored. A numerical verification for the proposed model using a finite difference-based method is illustrated along with their consistency, stability and proving the positivity of the acquired solutions. The obtained results reveal that the random motion of individuals has significant impact on the observed dynamics and steady-state stability of the spread of the virus which helps in presenting some strategies for the better control of it.
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