Preface to “Mathematical Methods, Modelling and Applications”

Jódar, L.; Company, Rafael

doi:10.3390/math10091607

Cited by 3 publications

(2 citation statements)

References 21 publications

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“…These models can be generated for almost every field of health sciences including infectious diseases, cancer, tumors etc. [10,11,12]. For example, in our previous study, ESBL resistance in Escherichia coli isolates was evaluated via mathematical modelling [13].…”

Section: Introductionmentioning

confidence: 99%

Compartmental Mathematical Model with Optimal Control: Can awareness against Methicillin Resistant Staphylococcus aureus prevent its transmission?

Gokbulut,

Hurdoganoglu,

Sultanoglu

et al. 2023

Preprint

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The number of Methicillin Resistance Staphylococcus aureus cases in community and hospitals is on the rise worldwide. Hence, the study aimed to analyze transmission interventions and control strategies that could be used to prevent transmission in this manner. In this regard, compartmental mathematical model was used with and without an optimal control to visualize the effectiveness of awareness in interventions that could be applied in the prevention of transmission. A total of seven years of data gathered from hospital consisting of inpatients and outpatients of MRSA were used in this model. The results suggested that the number of cases of the four compartments: Community-acquired (CA) Staphylococcus aureus, CA Methicillin Resistant Staphylococcus aureus (MRSA), Hospital-acquired (HA) Staphylococcus aureus, HA-MRSA in the designed mathematical model without the control were on an increasing trend. When optimal control was applied as a second model, it was determined that increasing awareness of hand hygiene and wearing a mask were the key controlling measures to prevent the spread of CA-MRSA and HA- MRSA. Lastly, it is concluded that both CA-MRSA and HA-MRSA cases are on the rise and increasing awareness in regard to transmission is significant in preventing further spread.

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Section: Introductionmentioning

confidence: 99%

Compartmental Mathematical Model with Optimal Control: Can awareness against Methicillin Resistant Staphylococcus aureus prevent its transmission?

Gokbulut,

Hurdoganoglu,

Sultanoglu

et al. 2023

Preprint

View full text Add to dashboard Cite

show abstract

Section: Introductionmentioning

confidence: 99%

Dynamical Analysis of Methicillin Resistant Staphylococcus Aureus Infection in North Cyprus with Optimal Control: Prevalence and Awareness

Gokbulut,

Farman,

Hurdoganoglu

et al. 2023

Preprint

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The number of Methicillin Resistance Staphylococcus aureus cases in communities and hospitals is on the rise worldwide. In this work, we developed the nonlinear deterministic model for the dynamics of Methicillin Resistance Staphylococcus aureus infection in society to visualize the effectiveness of awareness in interventions that could be applied in the prevention of transmission with and without optimal control. Positivity and uniqueness are verified for the proposed corruption model to identify the level of resolution of infection factors in society. Furthermore, it explores how various parameters affect the reproductive number \({R}_{0}\) and sensitivity analysis of the proposed model through mathematical and figures. Establishes the global stability of model equilibria analysis by using Lyapunov functions with the first derivative test. A total of seven years of data gathered from hospitals consisting of inpatients and outpatients of MRSA were used in this model for numerical simulations and observing the dynamics of infection by using a Non-Standard Finite Difference (NSFD) scheme. When optimal control was applied as a second model, it was determined that increasing awareness of hand hygiene and wearing a mask were the key controlling measures to prevent the spread of CA-MRSA and HA- MRSA. Lastly, it is concluded that both CA-MRSA and HA-MRSA cases are on the rise, and increasing awareness concerning transmission is significant in preventing further spread.

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Dynamical analysis of methicillin-resistant Staphylococcus aureus infection in North Cyprus with optimal control: prevalence and awareness

Gokbulut,

Farman,

Hurdoganoglu

et al. 2024

Sci Rep

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Preface to “Mathematical Methods, Modelling and Applications”

Abstract: The reality is more complex than it seems [...]

Cited by 3 publications

References 21 publications

Compartmental Mathematical Model with Optimal Control: Can awareness against Methicillin Resistant Staphylococcus aureus prevent its transmission?

Compartmental Mathematical Model with Optimal Control: Can awareness against Methicillin Resistant Staphylococcus aureus prevent its transmission?

Dynamical Analysis of Methicillin Resistant Staphylococcus Aureus Infection in North Cyprus with Optimal Control: Prevalence and Awareness

Dynamical analysis of methicillin-resistant Staphylococcus aureus infection in North Cyprus with optimal control: prevalence and awareness

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