What is Influenza-Like Illness? Influenza-like illness (ILI) is a not a single disease, but is a large group of pathogens grouped together because they have similar symptoms. In the United States, ILI affects an estimated 9-49 million people every year. The CDC defines the presence ILI as a fever of at least 100 degrees Fahrenheit, …

Mathematical models of infectious diseases -- Consequences of underlying assumptions Mathematical models have been used to study various disease transmission dynamics and control for epidemics. Many of these studies are based on SEIR- types of compartmental models with exponentially distributed stage durations. We examine the underlying assumptions made in some of these models and present …

Stochasticity and Heterogeneity in the Aedes aegypti/Dengue Transmission System: Implications for Spread and Control of Infection The Aedes aegypti mosquito is the vector for several infections of public health concern, including dengue, chikungunya, Zika and yellow fever. The mosquito lives in close proximity to humans, typically only disperses over short distances and its population density …

Modeling rate of adaptive trait evolution using Cox–Ingersoll–Ross process: An Approximate Bayesian Computation approach Abstract: Over the past decades, the Gaussian process has been widely used to study trait evolution. In particular, two members of Gaussian processes, Brownian motion and the Ornstein-Uhlenbeck process, have been frequently applied for describing continuous trait evolution. Models have been …