Infectious diseases are a threat to human health and a hindrance to societal development.
Consequently, the spread of diseases in both time and space has been widely studied …

Allee effect that refers to a positive relationship between individual fitness and population
density provides an important conceptual framework in conservation biology. While …

Some phages encode anti-CRISPR (acr) genes, which antagonize bacterial CRISPR-Cas
immune systems by binding components of its machinery, but it is less clear how …

Allee effects are (broadly) defined as a decline in individual fitness at low population size or
density. They can result in critical population thresholds below which populations crash to …

Lyapunov functions for two-dimension SIR and SIRS compartmental epidemic models with
non-linear transmission rate of a very general form f (S, I) constrained by a few biologically …

We study global properties of a class of delay differential equations model for virus infections
with nonlinear transmissions. Compared with the typical virus infection dynamical model …

Classical models of virulence evolution conclude that the increased competition favoured by
multiple infection will select for increasing consumption and deterioration of the host …

The emergence and re-emergence of pathogens remains a major public health concern.
Unfortunately, when and where pathogens will (re-) emerge is notoriously difficult to predict …

In this paper, an HIV-1 infection model with a saturation infection rate and an intracellular
delay accounting for the time between viral entry into a target cell and the production of new …

Species interactions may profoundly influence disease outbreaks. However, disease
ecology has only begun to integrate interactions between hosts and their food resources …