Models are formulated for the population dynamics of a monoecious or dioecious species with an all-female parthenogenetic sibling species which is also gynogenetic. Continuous, deterministic reproduction and mortality, a stationary age distribution, random mating, and limited sexual competence for all individuals are posited. It is also supposed that in the dioecious case males do not distingui...

We propose an extension of the study of imitation in artefacts in which imitation takes place at the populationlevel. Instead of assuming a one-to-one teacher-student relation between agents, agents in our set-up take on no particular role and have to build up a repertoire of actions through imitative interaction with all other agents in the population. This allows us to study the sufficient an...

We study a general predator–prey system in a spatially heterogeneous environment. The predation process, which occurs on a behavioural time-scale, is much faster than the other processes (reproduction, natural mortality and migrations) occurring on the population dynamics time-scale. We show that, taking account of this difference in time-scales, and assuming that the prey have a refuge, the dy...

BACKGROUND Many studies compare the population dynamics of single species within multiple habitat types, while much less is known about the differences in population dynamics in closely related species in the same habitat. Additionally, comparisons of the effect of habitat types and species are largely missing. METHODOLOGY AND PRINCIPAL FINDINGS We estimated the importance of the habitat type...

In this work we derive an analytic expression for the Kolmogorov-Sinai entropy of dilute wet granular matter, valid for any spatial dimension. The grains are modeled as hard spheres and the influence of the wetting liquid is described according to the capillary model, in which dissipation is due to the hysteretic cohesion force of capillary bridges. The Kolmogorov-Sinai entropy is expanded in a...

In this work, we analyzed the impact of interventions on populations which exhibit unimodal dynamics. The six landmarks that characterize the “shape” of the unimodal reproduction curve   f x of the difference equation,   1 n n X f X   , are defined and used in order to examine and determine the behavior of dynamics of populations. By using the Li-Yorke criterion for determination of chaos...

Dispersal is a context-dependent adaptive trait. Different dispersal strategies arise as species need to optimize their fitness in the ever changing quality of habitats further imposed by abiotic and biotic factors. This work reviews the spread of populations under different dispersal strategies. Namely, we address the spread of a population when dispersal is driven by habitat fragmentations, d...

Computer simulations show that the extinction of megafauna is not correlated with the growth of human population. The population of megafauna remains constant during the nearly entire time of the rapid growth of human population. Model-generated growth of human population is also in direct conflict with the empirical evidence about the human population dynamics. Computer simulations do not supp...

A theorem on estimates of solutions of impulsive parabolic equations by means of solutions of impulsive ordinary differential equations is proved. An application to the population dynamics is given.