The theory of reaction–diffusion waves begins in the 1930s with the works in population
dynamics, combustion theory and chemical kinetics. At the present time, it is a well …

Background Drug-induced drug resistance in cancer has been attributed to diverse
biological mechanisms at the individual cell or cell population scale, relying on …

Quantitative approaches to evolutionary biology traditionally consider evolutionary change
in isolation from an important pressure in natural selection: the demography of coevolving …

Resistance to chemotherapies, particularly to anticancer treatments, is an increasing
medical concern. Among the many mechanisms at work in cancers, one of the most …

Nonlocal Lotka–Volterra models have the property that solutions concentrate as Dirac
masses in the limit of small diffusion. Is it possible to describe the dynamics of the limiting …

Dans un second temps, nous considérons un espace des traits non borné, Θ=+∞. Dans ce
cas le front accélère sans cesse et nous montrons heuristiquement que la loi de propagation …

We consider parabolic partial differential equations of Lotka-Volterra type, with a non-local
nonlinear term. This models, at the population level, the darwinian evolution of a population; …

ON SELECTION DYNAMICS FOR CONTINUOUS STRUCTURED POPULATIONS∗ 1.
Introduction We are concerned with nonlinear selection (or com Page 1 COMMUN. MATH. SCI. c …

We study two equations of Lotka-Volterra type that describe the Darwinian evolution of a
population density. In the first model a Laplace term represents the mutations. In the second …

We consider a system of two coupled integro-differential equations modelling populations of
healthy and cancer cells under chemotherapy. Both populations are structured by a …