Deterministic Mathematical Model for Dynamics of Water Borne Diseases

Improved Mathematical Model for Helicopters Flight Dynamics Applications

The purpose of this paper is concerned with the mathematical model development issues, necessary for a better prediction of dynamic responses of articulated rotor helicopters. The methodology is laid out based on mathematical model development for an articulated rotor helicopters, using the theories of aeroelastisity, finite element and the time domain compressible unsteady aerodynamics. The he...

A Mathematical Model for the Estimation of Ghanats Water Storages.

A Mathematical Model for the Estimation of Ghanats Water Storages.

A Reduce and Replace Strategy for Suppressing Vector-Borne Diseases: Insights from a Deterministic Model

Genetic approaches for controlling disease vectors have aimed either to reduce wild-type populations or to replace wild-type populations with insects that cannot transmit pathogens. Here, we propose a Reduce and Replace (R&R) strategy in which released insects have both female-killing and anti-pathogen genes. We develop a mathematical model to numerically explore release strategies involving an...

The dynamics of vector-borne relapsing diseases.

In this paper, we describe the dynamics of a vector-borne relapsing disease, such as tick-borne relapsing fever, using the methods of compartmental models. After some motivation and model description we provide a proof of a conjectured general form of the reproductive ratio R0, which is the average number of new infections produced by a single infected individual. A disease free equilibrium und...