In the current context of global infectious disease risks, a better understanding of the
dynamics of major epidemics is urgently needed. Time-series analysis has appeared as an …

We provide a review of some key literature results on the influence of seasonality and other
time heterogeneities of contact rates, and other parameters, such as vaccination rates, on …

Wavelet analysis is a powerful tool that is already in use throughout science and
engineering. The versatility and attractiveness of the wavelet approach lie in its …

The threat of unstoppable plagues, such as AIDS and Ebola, is always with us. In Europe,
the most devastating plagues were those from the Black Death pandemic in the 1300s to the …

A spatial SIR reaction–diffusion model for the transmission disease such as whoo**
cough is studied. The behaviour of positive solutions to a reaction–diffusion system with …

Infectious diseases remain among the top contributors to human illness and death
worldwide, among which many diseases produce epidemic waves of infection. The lack of …

A SIRS epidemic model with general seasonal variation in the contact rate is analysed. This
SIRS model has a unique disease free equilibrium (DFE) which is globally asymptotically …

In this paper, the two biological models ie Nitrogen, Phytoplankton and Zooplankton (NPZ)
and whoo** cough SIR models (Charpentier et al., 2010) are being modified and solved …

In this paper we combine nonstandard finite-difference (NSFD) schemes and Richardson's
extrapolation method to obtain numerical solutions of two biological systems. The first …

Determining the distribution of disease prevalence among heterogeneous populations at the
national scale is fundamental for epidemiology and public health. Here, we use a …