On the global stability of a generalized cholera epidemiological model

Cheng, Yumin; Jin, Wang; Xiu-xiang, Yang

doi:10.1080/17513758.2012.728635

Cited by 26 publications

(11 citation statements)

References 43 publications

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“…According to Routh–Hurwitz criterion, the smoking-present equilibrium E ∗ is locally asymptotically stable. Next, we will apply the novel approach based on the works [20–25] to explore the global stability of the smoking-present equilibrium E ∗ . From Theorem 1, we know that the smoking-free equilibrium E 0 is unstable if ℛ 0 > 1.…”

Section: Basic Properties Of the Model And Parameter Valuesmentioning

confidence: 99%

The Cost-Effectiveness Analysis and Optimal Strategy of the Tobacco Control

Pang

Liu

Zhang

et al. 2019

Computational and Mathematical Methods in Medicine

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This paper aims at investigating how the media coverage and smoking cessation treatment should be implemented, for a certain period, to reduce the numbers of smokers and patients caused by smoking while minimizing the total cost. To this end, we first propose a new mathematical model without any control strategies to investigate the dynamic behaviors of smoking. Furthermore, we calculate the basic reproduction number R0 and discuss the global asymptotic stabilities of the equilibria. Then, from the estimated parameter values, we know that the basic reproduction number R0 is more than 1, which reveals that smoking is one of the enduring problems of the society. Hence, we introduce two control measures (media coverage and smoking cessation treatment) into the model. Finally, in order to investigate their effects in smoking control and provide an analytical method for the strategic decision-makers, we apply a concrete example to calculate the incremental cost-effectiveness ratios and analyze the cost-effectiveness of all possible combinations of the two control measures. The results indicate that the combination of media coverage and smoking cessation treatment is the most cost-effective strategy for tobacco control.

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Section: Basic Properties Of the Model And Parameter Valuesmentioning

confidence: 99%

The Cost-Effectiveness Analysis and Optimal Strategy of the Tobacco Control

Pang

Liu

Zhang

et al. 2019

Computational and Mathematical Methods in Medicine

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“…Before communicable diseases were identified, infections were often attributed to various conditions: asters, environmental changes, acts of God, or spiritual reasons. 2 – 4 The notions of transmissible and spreadable diseases emerged first, and those of contagious and infectious diseases emerged much later. 5 In Europe between the 5th and the 15th centuries, contagious diseases had a substantial negative impact on public health.…”

Section: Introductionmentioning

confidence: 99%

<p>Strategies to Prevent Healthcare-Associated Infections: A Narrative Overview</p>

Haque¹,

McKimm²,

Sartelli³

et al. 2020

RMHP

122

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Healthcare-associated infections (HCAIs) are a major source of morbidity and mortality and are the second most prevalent cause of death. Furthermore, it has been reported that for every one-hundred patients admitted to hospital, seven patients in high-income economies and ten in emerging and low-income economies acquire at least one type of HCAI. Currently, almost all pathogenic microorganisms have developed antimicrobial resistance, and few new antimicrobials are being developed and brought to market. The literature search for this narrative review was performed by searching bibliographic databases (including Google Scholar and PubMed) using the search terms: "Strategies," "Prevention," and "Healthcare-Associated Infections," followed by snowballing references cited by critical articles. We found that although hand hygiene is a centuries-old concept, it is still the primary strategy used around the world to prevent HCAIs. It forms one of a bundle of approaches used to clean and maintain a safe hospital environment and to stop the transmission of contagious and infectious microorganisms, including multidrug-resistant microbes. Finally, antibiotic stewardship also has a crucial role in reducing the impact of HCAIs through conserving currently available antimicrobials.

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“…Experiments for spreading of infectious disease in individual are unethical. Epidemiologists and other researchers use mathematical modeling and numerical simulation for scientific understanding about the dynamics and preventive method of an infectious disease, for determining sensitivities, changes of parameter values, and to forecasting [5,[9][10][11][12][13][14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Analysis of Cholera Epidemic Controlling Using Mathematical Modeling

Hntsa

Kahsay

2020

International Journal of Mathematics and Mathematical Sciences

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The purpose of this study is to see whether it is possible to eradicate the disease theoretically using mathematical modeling with the aid of numerical simulation when disease occurs in a population by implementing adequate preventive measures. For this, we consider a mathematical model for the transmission dynamics of cholera and its preventive measure as one cohort of individuals, namely, a protected cohort in addition to susceptible, infected, and recovered cohorts of individuals including the concentration of Vibrio cholerae in the contaminated aquatic reservoir with small modifications. We calculate the basic reproduction number, ℛ0, and investigate the existence and stability of equilibria. The model possessed forward bifurcation. Moreover, we compute the sensitivity indices of each parameter in relating to ℛ0 of the model. Numerical simulations are carried out to validate our theoretical results. The result indicates that the disease dies out in areas with adequate preventive measures and widespread and kills more people in areas with the inadequate preventive measures.

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On the global stability of a generalized cholera epidemiological model

Cited by 26 publications

References 43 publications

The Cost-Effectiveness Analysis and Optimal Strategy of the Tobacco Control

The Cost-Effectiveness Analysis and Optimal Strategy of the Tobacco Control

<p>Strategies to Prevent Healthcare-Associated Infections: A Narrative Overview</p>

Analysis of Cholera Epidemic Controlling Using Mathematical Modeling

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