Miranda I. Teboh-Ewungkem

TL;DR: The 2014 Ebola outbreaks are controllable using a moderately-effective basic public health intervention strategy alone, and a much higher disease burden would have been recorded in the absence of such intervention.

TL;DR: In the absence of disease-induced mortality, the model has a globally-asymptotically stable disease-free equilibrium whenever a certain epidemiological threshold, known as the basic reproduction number, is less than unity.

TL;DR: A deterministic ordinary differential equation model that explicitly integrates the demography and life style of the malaria vector and its interaction with the human population is developed and analyzed, and results indicate the existence of nontrivial disease free and endemic steady states.

TL;DR: A mathematical model that simulates the within-vector dynamics of Plasmodium falciparum in an Anopheles mosquito is developed and shows that reducing the gametocyte density in the blood meal most significantly lowers sporozoite load in the salivary glands and hence mosquito infectivity, and is thus an attractive target for malaria control.

TL;DR: Malaria dynamics are indeed oscillatory when the methodology of explicitly incorporating the mosquito’s demography, feeding and reproductive patterns is considered in modeling the mosquito population dynamics, and uncertainties in the estimations of the rates at which exposed humans become infectious and infectious humans recover from malaria are critical in generating uncertainties.