ArticleComputational and mathematical methods in medicine2012
Global stability analysis of SEIR model with holling type II incidence function.
Article in Computational and mathematical methods in medicine, 2012. 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.
- A Lyapunov-PINN framework for global stability of an SEIR epidemic model with educational interventions.Scientific reports · 2026Article
- Modelling the dynamically consistent numerical methods for COVID-19 disease with cost effectiveness strategies.Scientific reports · 2025Article
- Mathematical computations on epidemiology: a case study of the novel coronavirus (SARS-CoV-2).Theory in biosciences = Theorie in den Biowissenschaften · 2021Article
- Predicting the dynamical behavior of COVID-19 epidemic and the effect of control strategies.Chaos, solitons, and fractals · 2021Article
- COVID-19: Perturbation dynamics resulting chaos to stable with seasonality transmission.Chaos, solitons, and fractals · 2021Article
- Mathematical modeling of COVID-19 in India and Nepal with optimal control and sensitivity analysis.European physical journal plus · 2021Article
- Condition for Global Stability for a SEIR Model Incorporating Exogenous Reinfection and Primary Infection Mechanisms.Computational and mathematical methods in medicine · 2020Article
- Impact of reduction in contact time activity of infected individuals on the dynamics and control of directly transmitted respiratory infections in SIR models.Advances in difference equations · 2020Article
- Estimation of the Basic Reproduction Number and Vaccination Coverage of Influenza in the United States (2017-18).Journal of research in health sciences · 2018Article
- Mathematical assessment of the role of vector insecticide resistance and feeding/resting behavior on malaria transmission dynamics: Optimal control analysis.Infectious Disease Modelling · 2018Article
- Disease control of delay SEIR model with nonlinear incidence rate and vertical transmission.Computational and mathematical methods in medicine · 2013Article
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Abstract
A deterministic model for the transmission dynamics of a communicable disease is developed and rigorously analysed. The model, consisting of five mutually exclusive compartments representing the human dynamics, has a globally asymptotically stable disease-free equilibrium (DFE) whenever a certain epidemiological threshold, known as the basic reproduction number (ℛ₀), is less than unity; in such a case the endemic equilibrium does not exist. On the other hand, when the reproduction number is greater than unity, it is shown, using nonlinear Lyapunov function of Goh-Volterra type, in conjunction with the LaSalle's invariance principle, that the unique endemic equilibrium of the model is globally asymptotically stable under certain conditions. Furthermore, the disease is shown to be uniformly persistent whenever ℛ₀ > 1.
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