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- Botanical identification methods (BIM) (1)
- Cholera model (1)
- Cholera modelling (1)
- Contact rate (1)
- Epidemic and endemic dynamics (1)
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- Geometric approach (1)
- Global asymptotic stability (1)
- Global stability (1)
- Infectious diseases (1)
- Mathematical model (1)
- Nonlinear incidence (1)
- Ordinary differential equations (1)
- Periodic orbits (1)
- Qualitative methods (1)
- Reproduction numbers (1)
- Seir model (1)
- Stability (1)
- Statistical model (1)
- Vibrio cholerae (1)
Articles 1 - 3 of 3
Full-Text Articles in Physical Sciences and Mathematics
Probability Of Identification: A Statistical Model For The Validation Of Qualitative Botanical Identification Methods, Robert A. Labudde, James M. Harnly
Probability Of Identification: A Statistical Model For The Validation Of Qualitative Botanical Identification Methods, Robert A. Labudde, James M. Harnly
Mathematics & Statistics Faculty Publications
A qualitative botanical identification method (BIM) is an analytical procedure that returns a binary result (1 = Identified, 0 = Not Identified). A BIM may be used by a buyer, manufacturer, or regulator to determine whether a botanical material being tested is the same as the target (desired) material, or whether it contains excessive nontarget (undesirable) material. The report describes the development and validation of studies for a BIM based on the proportion of replicates identified, or probability of identification (POI), as the basic observed statistic. The statistical procedures proposed for data analysis follow closely those of the probability of …
A Generalized Cholera Model And Epidemic-Endemic Analysis, Jin Wang, Shu Liao
A Generalized Cholera Model And Epidemic-Endemic Analysis, Jin Wang, Shu Liao
Mathematics & Statistics Faculty Publications
The transmission of cholera involves both human-to-human and environment-to-human pathways that complicate its dynamics. In this paper, we present a new and unified deterministic model that incorporates a general incidence rate and a general formulation of the pathogen concentration to analyse the dynamics of cholera. Particularly, this work unifies many existing cholera models proposed by different authors. We conduct equilibrium analysis to carefully study the complex epidemic and endemic behaviour of the disease. Our results show that despite the incorporation of the environmental component, there exists a forward transcritical bifurcation at R0 = 1 for the combined human-environment epidemiological …
On The Global Stability Of A Generalized Cholera Epidemiological Model, Yuanji Cheng, Jin Wang, Xiuxiang Yang
On The Global Stability Of A Generalized Cholera Epidemiological Model, Yuanji Cheng, Jin Wang, Xiuxiang Yang
Mathematics & Statistics Faculty Publications
In this paper, we conduct a careful global stability analysis for a generalized cholera epidemiological model originally proposed in [J. Wang and S. Liao, A generalized cholera model and epidemic/endemic analysis, J. Biol. Dyn. 6 (2012), pp. 568-589]. Cholera is a water-and food-borne infectious disease whose dynamics are complicated by the multiple interactions between the human host, the pathogen, and the environment. Using the geometric approach, we rigorously prove the endemic global stability for the cholera model in three-dimensional (when the pathogen component is a scalar) and four-dimensional (when the pathogen component is a vector) systems. This work unifies the …