The minimum effort required to eradicate infections in models with backward bifurcation
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چکیده
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Memoirs inspire effort to eradicate human papillomavirus.
Kristen graduated from Indiana University Purdue University Indianapolis (IUPUI) with a bachelor’s degree in business and a double major in human resources and management. She had just opened a new, exciting chapter in her life. Fresh out of college, she began a promising career with Walgreen’s Drug Store in management. The very next month, however, her right ankle swelled up and she spent the ...
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In all of the West Nile virus (WNV) compartmental models in the literature, the basic reproduction number serves as a crucial control threshold for the eradication of the virus. However, our study suggests that backward bifurcation is a common property shared by the available compartmental models with a logistic type of growth for the population of host birds. There exists a subthreshold condit...
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In this paper, dynamical systems theory and bifurcation theory are applied to investigate the rich dynamical behaviours observed in three simple disease models. The 2and 3-dimensional models we investigate have arisen in previous investigations of epidemiology, in-host disease, and autoimmunity. These closely related models display interesting dynamical behaviors including bistability, recurren...
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An epidemiological model is presented that provides a comprehensive description of the transmission pathways involved for recurrent tuberculosis (TB), whereby cured individuals can become reinfected. Our main goal is to determine conditions that lead to the appearance of a backward bifurcation. This occurs when an asymptotically stable infection free equilibrium concurrently exists with a stabl...
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ژورنال
عنوان ژورنال: Journal of Mathematical Biology
سال: 2006
ISSN: 0303-6812,1432-1416
DOI: 10.1007/s00285-006-0028-8