Dynamics and control of multidrug-resistant bacterial infection in hospital with multiple delays

Das, Samhita; Das, Pritha; Das, Prasenjit

doi:10.1016/j.cnsns.2020.105279

Cited by 19 publications

(7 citation statements)

References 37 publications

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“… 48 , 49 The accurate typing of infections is vital for control of nosocomial infections. 50 , 51 We analyzed 23 E coli clinical strains from Peking Union Medical College Hospital. Before FT-IR typing , we first performed their MALDI-TOF MS identification to determine bacterial species ( Figure S5 , Table S2 in the supplemental information ) and results confirmed themy all belonged to the same species.…”

Section: Expected Outcomesmentioning

confidence: 99%

Protocol for bacterial typing using Fourier transform infrared spectroscopy

Yang¹,

Shi²,

Feng³

et al. 2023

STAR Protocols

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Section: Expected Outcomesmentioning

confidence: 99%

Protocol for bacterial typing using Fourier transform infrared spectroscopy

Yang¹,

Shi²,

Feng³

et al. 2023

STAR Protocols

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“…If (13) and (14) are satisfied, the eigen values for animal subsystem have negative real part i.e. D 1 of animal subsystem is LAS.…”

Section: Local Stability Of Equilibriamentioning

confidence: 99%

“…Significantly, it is proved that D 1 " pS p ,Ī p q can coexist with disease free equilibrium of subsystem=pS p , 0q (Table 2) even if the basic reproduction number R p ă 1. Conditions (13) and (14) imply that stability of D 1 is ensured by number of infected crossing a threshold value. All those facts points towards backward bifurcation.…”

Section: Bifurcation Analysismentioning

confidence: 99%

“…Various studies on emerging zoonotic disease dynamics using mathematical modelling has been done [9][10][11][12][13][14][15]. In deterministic model the deduction of basic reproduction number [16], existence of different equilibrium points, stability analysis are covered by most studies, with some additional features like vaccination [17], relapse [18], isolation [19], optimal control [20,21], parameter sensitivity [22] etc.…”

Section: Introductionmentioning

confidence: 99%

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Control of Nipah virus outbreak in commercial pig-farm with biosecurity and culling

Das

2020

Math. Model. Nat. Phenom.

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A coupled pig-human Nipah virus disease model is studied in a commercial farm to understand dynamics of disease spillover from pig to human. To portray the specific scenario, two parameters representing biosecurity level and selective culling are included in the system. Along with standard equilibrium analysis, backward and Hopf bifurcation phenomena are demonstrated analytically and numerically. Optimal control of culling alone and also with other controls for the minimization of loss are discussed. It is observed that, irrespective of its application rate, culling is more effective in presence of other controls. Parameter sensitivity analysis of system solution has been used to identify significant parameters for the change of disease dynamics. Sensitivity test is also performed on the objective function of optimal control problem, which singled out crucial parameters influencing the economic loss of farm-owner. Based on this study, some strategies regarding application of various controls are suggested.

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“…Huang et al 14 study the effect of three intervention strategies in reducing new MRSA colonization through a deterministic MRSA model with seasonal oscillations of the antibiotic prescription rate. Das et al 15 in their study of Acinatobactor baumannii transmission using a delay model observe the impact of antibiotic stewardship program as a preventive measure. Even though all these aforementioned pathogens and C. auris have common routes of transmission, 16 a significant difference comes from the fact that C. auris can go either unidentified or misidentified through conventional laboratory identification methods which plays a huge role in its transmission dynamics and lead to more patients developing invasive infections.…”

Section: Introductionmentioning

confidence: 99%

Optimal control analysis for a Candida auris nosocomial infection model with environmental transmission

Kumaran¹,

Rajagopal²

2022

Math Methods in App Sciences

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In this paper, we propose a mathematical model to investigate the role of environmental reservoirs in the transmission dynamics of the rising Candida auris infections in nosocomial settings. The ability of the pathogen to resist commonly used hospital disinfectants ensures its persistent contamination of hospital surfaces and medical equipment readily leading to patient colonization.Colonized patients shed the pathogen into their surroundings thereby increasing the fungal concentration in the hospital environment. We analyze the model for its basic mathematical properties, perform sensitivity analysis, and formulate an optimal problem to determine the efficiency of control interventions, namely, standard transmission precautions, proper laboratory identification, and isolation of patients identified with colonization in reducing the contamination and transmission of C. auris infections. We characterize the optimal controls using Pontryagin's Minimum Principle and further prove the uniqueness of the optimality system. Numerical simulations are performed to substantiate the theoretical analysis, and the results are illustrated graphically.

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Dynamics and control of multidrug-resistant bacterial infection in hospital with multiple delays

Cited by 19 publications

References 37 publications

Protocol for bacterial typing using Fourier transform infrared spectroscopy

Protocol for bacterial typing using Fourier transform infrared spectroscopy

Control of Nipah virus outbreak in commercial pig-farm with biosecurity and culling

Optimal control analysis for a Candida auris nosocomial infection model with environmental transmission

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