A widespread tenet is that evolution of pathogens maximises their basic reproduction ratio,
R 0. The breakdown of this principle is typically discussed as exception. Here, we argue that …

The concept of the basic reproduction number (0) occupies a central place in epidemic
theory. The value of 0 determines the proportion of the population that becomes infected …

We consider SIS, SIR and MSIR models with standard mass action and varying population,
with n different pathogen strains of an infectious disease. We also consider the same models …

Several articles in the recent literature discuss the complexities of the impact of vaccination
on competing subtypes of one micro-organism. Both with competing virus strains and …

We study an SIR epidemic model with a variable host population size. We prove that if the
model parameters satisfy certain inequalities then competition between n pathogens for a …

We report about field and theoretical studies on the ecology of the aquatic snails (Bulinus
spp. and Biomphalaria pfeifferi) that serve as obligate intermediate hosts in the complex life …

An SI epidemic model for a host with two viral infections circulating within the population is
developed, analyzed, and numerically simulated. The model is a system of four differential …

Classical models of parasite competition show that coexistence is impossible if different
strains give complete cross-immunity. However, parasite coexistence is possible if some of …

Disease outbreaks affect many ecosystems threatening species that also fight against other
natural enemies. We investigate a cyclic game system with 5 species, whose organisms …

The theory of life-history evolution provides a powerful framework to understand the
evolutionary dynamics of pathogens. It assumes, however, that host populations are large …