This review covers permanence, oscillation, local and global stability of solutions for
Nicholson's blowflies differential equation. Some generalizations, including the most recent …

A model for the transmission of dengue fever in a constant human population and variable
vector population is discussed. A complete global analysis is given, which uses the results of …

The demand for unrelated haematopoietic cell (HPC) donors has risen threefold over the
last decade, and is likely to continue to rise over the next 10 years. The time taken from …

We study a system of differential equations that models the population dynamics of an SIR
vector transmitted disease with two pathogen strains. This model arose from our study of the …

A population with birth rate function B (N) N and linear death rate for the adult stage is
assumed to have a maturation delay T> 0. Thus the growth equation N′(t)= B (N (t− T)) N …

A model for the transmission of dengue fever with variable human population size is
analyzed. We find three threshold parameters which govern the existence of the endemic …

We propose a new threshold quantity for the analysis of the epidemiology of infectious
diseases. The quantity is similar in concept to the familiar basic reproduction ratio, R0, but it …

American trypanosomiasis, or Chagas disease, caused by the protozoan parasite
Trypanosoma cruzi and transmitted by blood-feeding triatomine bugs, is a chronic …

A nonlocal and time-delayed reaction-diffusion model of dengue fever is first proposed that
incorporates the aquatic stage, the winged stage, and the incubation periods of the dengue …

In this paper, a modified SIS model with an infective vector on complex networks is proposed
and analyzed, which incorporates some infectious diseases that are not only transmitted by …