ArticleAdvances in difference equations2021
Modeling the transmission dynamics of delayed pneumonia-like diseases with a sensitivity of parameters.
Article in Advances in difference equations, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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6 citing papers in PubMed.
- Existence, Stability, and Control of Glucose-Insulin Dynamics via Caputo-Fabrizio Fractal-Fractional Operators.MethodsX · 2026Article
- Study of fractional order rabies transmission model via Atangana-Baleanu derivative.Scientific reports · 2024Article
- Statistical methods for the computation and parameter estimation of a fractional SIRC model with Salmonella infection.Heliyon · 2024Article
- Optimal control of pneumonia transmission model with seasonal factor: Learning from Jakarta incidence data.Heliyon · 2023Article
- Investigating the Effects of Intervention Strategies on Pneumonia and HIV/AIDS Coinfection Model.BioMed research international · 2023Article
- Dynamical Analysis on a Malaria Model with Relapse Preventive Treatment and Saturated Fumigation.Computational and mathematical methods in medicine · 2022Article
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6 authors.
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Abstract
Pneumonia is a highly transmitted disease in children. According to the World Health Organization (WHO), the most affected regions include South Asia and sub-Saharan Africa. 15% deaths of children are due to pneumonia. In 2017, 0.88 million children were killed under the age of five years. An analysis of pneumonia disease is performed with the help of a delayed mathematical modelling technique. The epidemiological system contemplates subpopulations of susceptible, carriers, infected and recovered individuals, along with nonlinear interactions between the members of those subpopulations. The positivity and the boundedness of the ongoing problem for nonnegative initial data are thoroughly proved. The system possesses pneumonia-free and pneumonia existing equilibrium points, whose stability is studied rigorously. Moreover, the numerical simulations confirm the validity of these theoretical results.
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