ArticleTheory in biosciences = Theorie in den Biowissenschaften2020
A deterministic time-delayed SIR epidemic model: mathematical modeling and analysis.
Article in Theory in biosciences = Theorie in den Biowissenschaften, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
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8 citing papers in PubMed.
- Fractional caputo modeling of delayed disease dynamics: sensitivity analysis and control strategies incorporating environmental influences.Scientific reports · 2026Article
- Enhancing vaccination strategies for epidemic control through effective lockdown measures.Heliyon · 2024Article
- A cyclic behavioral modeling aspect to understand the effects of vaccination and treatment on epidemic transmission dynamics.Scientific reports · 2023Article
- Risk assessment and analysis of Traditional Chinese Medicine intervention in coronavirus disease.Journal of traditional Chinese medicine = Chung i tsa chih ying wen pan · 2022Article
- Effects of Nonmonotonic Functional Responses on a Disease Transmission Model: Modeling and Simulation.Communications in mathematics and statistics · 2022Article
- Stability behavior of a two-susceptibility SHIR epidemic model with time delay in complex networks.Nonlinear dynamics · 2021Article
- Vaccination control of an epidemic model with time delay and its application to COVID-19.Nonlinear dynamics · 2021Article
- A study on the stability behavior of an epidemic model with ratio-dependent incidence and saturated treatment.Theory in biosciences = Theorie in den Biowissenschaften · 2020Article
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3 authors.
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Abstract
In this paper, a deterministic model for transmission of an epidemic has been proposed by dividing the total population into three subclasses, namely susceptible, infectious and recovered. The incidence rate of infection is taken as a nonlinear functional along with time delay, and treatment rate of infected is considered as Holling type III functional. We have structured a deterministic transmission model of the epidemic taking into account the factors that affect the epidemic transmission such as social and natural factors, inhibitory effects and numerous control measures. The delayed model has been analyzed mathematically for two equilibria, namely disease-free equilibrium (DFE) and endemic equilibrium. It is found that DFE is locally and globally asymptotically stable when the basic reproduction number [Formula: see text] is less than unity. It has also been shown that the delayed system for DFE at [Formula: see text] is linearly neutrally stable. The existence of an endemic equilibrium has been shown and found that under some conditions, endemic equilibrium is locally asymptotically stable, and is globally asymptotically stable when [Formula: see text]. Further, the endemic equilibrium exhibits Hopf bifurcation under some conditions. Finally, an undelayed system has been analyzed, and it is shown that at [Formula: see text], DFE exhibits a forward bifurcation.
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