A model for Chagas disease with oral and congenital transmission.

This work presents a new mathematical model for the domestic transmission of Chagas disease, a parasitic disease affecting humans and other mammals throughout Central and South America. The model takes into account congenital transmission in both humans and domestic mammals as well as oral transmission in domestic mammals. The model has time-dependent coefficients to account for seasonality and consists of four nonlinear differential equations, one of which has a delay, for the populations of vectors, infected vectors, infected humans, and infected mammals in the domestic setting.

A logistic delay differential equation model for Chagas disease with interrupted spraying schedules.

This work studies a mathematical model for the dynamics of Chagas disease, a parasitic disease that affects humans and domestic mammals throughout rural areas in Central and South America. It presents a modified version of the model found in Spagnuolo et al. [A model for Chagas disease with controlled spraying, J.

A model for Vibrio cholerae colonization of the human intestine.

Vibrio cholerae is a strict human pathogen that causes the disease cholera. It is an old-world pathogen that has re-emerged as a new threat since the early 1990s. V.

Modeling HIV-1 dynamics and the effects of decreasing activated infected T-cell count by filtration.

Over the past 10 years mathematical models have been developed using differential equations for the progression of HIV-1 to AIDS in an infected patient. Additional terms and formulations are presented over time, as the disease is better understood. Experimentation has been used to obtain many of the modeling parameters.