Many natural systems are subject to seasonal environmental change. As a consequence
many species exhibit seasonal changes in their life history parameters—such as a peak in …

Resonance between some natural period of an endemic disease and a seasonal periodic
contact rate has been the subject of intensive study. This paper does not focus on resonance …

In epidemiology, knowing when a disease is endemic is important. This is usually done by
finding the basic reproductive number, R0, using equilibrium-based calculations. However …

Many present-day aquatic ecosystems are defined by anthropogenic activities such as the
introduction of non-native species, habitat loss, and eutrophication. On Prince Edward …

Mathematical models are of fundamental importance in the understanding of complex
population dynamics. For instance, they can be used to predict the population evolution …

Top‐down and bottom‐up theories of trophic control have been fundamental to our
understanding of community dynamics and structure. However, most ecological theories …

Much progress has been made in understanding the effect of periodic forcing on
epidemiological and ecological systems when that forcing acts on just one part of the …

The auxiliary function method allows computation of extremal long-time averages of
functions of dynamical variables in autonomous nonlinear ordinary differential equations via …

The environmental determinants of vector-and host-borne diseases include time-varying
components that modify key transmission parameters, resulting in transient couplings …

Increasing concerns about the changing environment and the emergence of pathogens that
cross species boundaries have added to the urgency of understanding the dynamics of …