Modelling the impact of misdiagnosis and treatment on the dynamics of malaria concurrent and co-infection with pneumonia

Akinyi, Okaka C.; J.Y.T., Mugisha; Manyonge, Alfred; Ouma, Collins

doi:10.12988/ams.2013.39521

Cited by 7 publications

(4 citation statements)

References 5 publications

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“…e findings of this investigation demonstrated that among the suggested techniques, preventing infectious disease and treating pneumonia seem to be the most cost-effective. Many researchers have examined co-infection of communicable ailments with HIV and pneumonia co-infection [23], while Akinyi et al [24] looked into bacterial meningitis and plasmodium co-infection.…”

Section: Introductionmentioning

confidence: 99%

Novel Numerical Estimates of the Pneumonia and Meningitis Epidemic Model via the Nonsingular Kernel with Optimal Analysis

Rashid

Kanwal

Ahmad³

et al. 2022

Complexity

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In this article, we investigated a deterministic model of pneumonia-meningitis coinfection. Employing the Atangana–Baleanu fractional derivative operator in the Caputo framework, we analyze a seven-component approach based on ordinary differential equations (DEs). Furthermore, the invariant domain, disease-free as well as endemic equilibria, and the validity of the model’s potential results are all investigated. According to controller design evaluation and modelling, the modulation technique devised is effective in diminishing the proportion of incidences in various compartments. A fundamental reproducing value is generated by exploiting the next generation matrix to assess the properties of the equilibrium. The system’s reliability is further evaluated. Sensitivity analysis is used to classify the impact of each component on the spread or prevention of illness. Using simulation studies, the impacts of providing therapy have been determined. Additionally, modelling the appropriate configuration demonstrated that lowering the fractional order from 1 necessitates a rapid initiation of the specified control technique at the largest intensity achievable and retaining it for the bulk of the pandemic’s duration.

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Section: Introductionmentioning

confidence: 99%

Novel Numerical Estimates of the Pneumonia and Meningitis Epidemic Model via the Nonsingular Kernel with Optimal Analysis

Rashid

Kanwal

Ahmad³

et al. 2022

Complexity

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“…Several researchers developed various mathematical models by taking into account different biological feasible parameters to further elaborate the co-infection of the diseases in the community [17] , [18] , [19] . Particularly, Akinyi et al., had formulated a mathematical model elaborating the consequences of wrong diagnosis and cure of pneumonia as malaria [20] . The result of the study suggests that the diagnosis of pneumonia and malaria can accurately be done if the basic reproductive number is less then unity.…”

Section: Introductionmentioning

confidence: 99%

Co-infection of Middle Eastern respiratory syndrome coronavirus and pulmonary tuberculosis

Bibi

Zaman

2020

Chaos, Solitons & Fractals

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Highlights We develop a mathematical model to represents the Middle East respiratory syndrome coronavirus and tuberculosis (TB) co-infection. We find basic reproductive number by using next generation method and discuss the stability of the model. We also study the bifurcation analysis of the model using the central manifold theory. Sensitivity of the basic reproductive number is performed to understand the most sensitive parameters. Finally, we show the feasibility of the analytical work, by numerical simulation.

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“…The result of the study revealed that prevention of typhoid fever and treatment of pneumonia is the most cost-effective strategies from the proposed ones. Different authors have studied co-infection of various diseases: [10] studied co-infection of HIV and pneumonia, [11] studied co-infection of pneumonia and malaria. However, to the best of our knowledge, no one has investigated co-infection of pneumonia and meningitis.…”

Section: Introductionmentioning

confidence: 99%

Modeling co-dynamics of pneumonia and meningitis diseases

Tilahun

2019

Adv Differ Equ

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In this paper an SIR deterministic mathematical model for co-infection of pneumonia and meningitis is proposed. We use a seven compartment model by using ordinary differential equations. The positivity of future solution of the model, the invariant region, and disease-free as well as endemic equilibrium are studied. To study the stability of the equilibria, a basic reproduction number is obtained by using the next generation matrix. The robustness of the model is also investigated. To identify the effect of each parameter on the expansion or control of the diseases, sensitivity analysis is performed. The effects of treating pneumonia infected only, meningitis infected only, and co-infected individuals have been identified by using the numerical simulation.

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Modelling the impact of misdiagnosis and treatment on the dynamics of malaria concurrent and co-infection with pneumonia

Cited by 7 publications

References 5 publications

Novel Numerical Estimates of the Pneumonia and Meningitis Epidemic Model via the Nonsingular Kernel with Optimal Analysis

Novel Numerical Estimates of the Pneumonia and Meningitis Epidemic Model via the Nonsingular Kernel with Optimal Analysis

Co-infection of Middle Eastern respiratory syndrome coronavirus and pulmonary tuberculosis

Modeling co-dynamics of pneumonia and meningitis diseases

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