Asymptotic behavior of a delay predator-prey system with stage structure and variable coefficients.
Asymptotic behavior of a predator-prey diffusion system with time delays.
Asymptotic behaviour of a discrete dynamical system generated by a simple evolutionary process
A simple model of phenotypic evolution is introduced and analysed in a space of population states. The expected values of the population states generate a discrete dynamical system. The asymptotic behaviour of the system is studied with the use of classical tools of dynamical systems. The number, location and stability of fixed points of the system depend on parameters of a fitness function and the parameters of the evolutionary process itself. The influence of evolutionary process parameters on...
Asymptotic behaviour of semigroups of nonnegative operators on a Banach lattice
Asymptotic convergence theorems for semigroups of nonnegative operators on a Banach lattice, on C(X) and on (1 ≤ p ≤ ∞) are proved. The general results are applied to a class of semigroups generated by some differential equations.
Asymptotic estimates of the solutions of nonlinear integral equations and asymptotic speeds for the spread of populations.
Asymptotic sampling formulae for -coalescents
We present a robust method which translates information on the speed of coming down from infinity of a genealogical tree into sampling formulae for the underlying population. We apply these results to population dynamics where the genealogy is given by a -coalescent. This allows us to derive an exact formula for the asymptotic behavior of the site and allele frequency spectrum and the number of segregating sites, as the sample size tends to . Some of our results hold in the case of a general -coalescent...
Asymptotical behaviors of nonautonomous discrete Kolmogorov system with time lags.
Bacteriophage Infection Dynamics: Multiple Host Binding Sites
We construct a stochastic model of bacteriophage parasitism of a host bacteria that accounts for demographic stochasticity of host and parasite and allows for multiple bacteriophage adsorption to host. We analyze the associated deterministic model, identifying the basic reproductive number for phage proliferation, showing that host and phage persist when it exceeds unity, and establishing that the distribution of adsorbed phage on a host is binomial with slowly evolving mean. Not surprisingly,...
Bifurcation in a model of the population dynamics.
Boundedness and global stability for a predator-prey system with the Beddington-DeAngelis functional response.
Bounds for graph expansions via elasticity.
Branching processes and models of epidemics [Book]
Cell Modelling of Hematopoiesis
In this work, we introduce a new software created to study hematopoiesis at the cell population level with the individually based approach. It can be used as an interface between theoretical works on population dynamics and experimental observations. We show that this software can be useful to study some features of normal hematopoiesis as well as some blood diseases such as myelogenous leukemia. It is also possible to simulate cell communication and the formation of cell colonies in the bone marrow. ...
Chaos in a predator-prey system with impulsive perturbations and stage structure for the predator.
Characteristic equations for the spectrum of generators
Coalescent processes in subdivided populations subject to recurrent mass extinctions.
Coexistence of small and large amplitude limit cycles of polynomial differential systems of degree four
A class of degree four differential systems that have an invariant conic , , is examined. We show the coexistence of small amplitude limit cycles, large amplitude limit cycles, and invariant algebraic curves under perturbations of the coefficients of the systems.
Commande optimale hiérarchisée d'une population de chaînes de Markov
Compact attractors for time-periodic age-structured population models.
Comparison of Perron and Floquet Eigenvalues in Age Structured Cell Division Cycle Models
We study the growth rate of a cell population that follows an age-structured PDE with time-periodic coefficients. Our motivation comes from the comparison between experimental tumor growth curves in mice endowed with intact or disrupted circadian clocks, known to exert their influence on the cell division cycle. We compare the growth rate of the model controlled by a time-periodic control on its coefficients with the growth rate of stationary models of the same nature, but with averaged coefficients....