27 papers · ranked by Valyu relevance
Loïc Marrec, Claudia Bank, Thibault Bertrand
Population growth is a fundamental process in ecology, evolution, and epidemiology. The population size dynamics during growth are often described by deterministic equations derived from kinetic models. Here, we simulate several population growth models and compare the size averaged over many stochastic realizations…
Alessio Zaccone, Kostya Trachenko
We show that a simple nonlinear differential equation (originally studied in the physics of disordered systems) is able to mathematically describe the global population growth over the past 12000 years. Different regimes of population growth since the early Neolithic until today are shown to be all solutions to the…
Lars Witting
Ecological dynamics is increasingly explained by eco-evolutionary processes, with this study analysing natural selection effects on the population dynamics of birds and mammals. Fitting single-species population dynamic models to 3,369 and 483 timeseries for 900 species of birds and 208 mammals, I find selection-based…
John Reinitz, Sergey Vakulenko, Dmitri Grigoriev, Andreas Weber
We consider evolution of a large population, where fitness of each organism is defined by many phenotypical traits. These traits result from expression of many genes. Under some assumptions on fitness we prove that such model organisms are capable, to some extent, to recognize the fitness landscape. That fitness…
Michael Doebeli, Eduardo Cancino Jaque, Yaroslav Ispolatov
The processes and mechanisms underlying the origin and maintenance of biological diversity have long been of central importance in ecology and evolution. The competitive exclusion principle states that the number of coexisting species is limited by the number of resources, or by the species’ similarity in resource use.…
Mohammad-Reza Namazi-Rad, Payam Mokhtarian, Pascal Perez, Frederic Amblard
'Frederic Amblard'] Generating a reliable computer-simulated synthetic population is necessary for knowledge processing and decision-making analysis in agent-based systems in order to measure, interpret and describe each target area and the human activity patterns within it. In this paper, both synthetic reconstruction…
Christopher Bystroff
Projections of future global human population are traditionally made using birth/death trend extrapolations, but these methods ignore limits. Expressing humanity as a K-selected species whose numbers are limited by the global carrying capacity produces a different outlook. Population data for the second millennium up…
Janusz Uchmański
The logistic equation treats the definition of its variable freely. It is undoubtedly the population density. The logistic equation in the differential version requires continuity of processes occurring in the population. In the differential version, we do not know what happens to the population between time steps.…
Z. C. Feng, Y. Charles Li
We introduce a population-age-time (PAT) model which describes the temporal evolution of the population distribution in age. The surprising result is that the qualitative nature of the population distribution dynamics is robust with respect to the birth rate and death rate distributions in age, and initial conditions.…
Julio Arrontes
Training in Population Ecology asks for scalable applications capable of embarking students on a trip from basic concepts to the projection of populations under the various effects of density dependence and stochasticity. Demography_Lab is an educational tool for teaching Population Ecology aspiring to cover such a…
Bnaya Steinmetz, Immanuel Meyer, Nadav M. Shnerb
Evolutionary processes take place in fluctuating environments, where carrying capacities and selective forces vary over time. The fate of a mutant type and the persistence time of polymorphic states were studied in some specific cases of varying environments, but a generic methodology is still lacking. Here, we present…
Branimir K. Hackenberger
Euler was also concerned with population growth considering its age structure. He divided the population into age classes and used life tables to calculate the probability of reaching a particular age class. The life tables used by Euler were created by Edmond Halley almost a century before. Even today, similar life…
Fabiano L. Ribeiro
In this work, some phenomenological models, those that are based only on the population information (macroscopic level), are deduced in an intuitive way. These models, as for instance Verhulst, Gompertz and Bertalanffy models, are posted in such a manner that all the parameters involved have physical interpretation. A…
Andrey Korotayev, Artemy Malkov
We propose an extremely simple mathematical model that is shown to be able to account for more than 99 per cent of all the variation in economic and demographic macrodynamics of the world for almost two millennia of its history. This appears to suggest a novel approach to the formation of the general theory of social…
Georgy P. Karev
Replicator equations (RE) are among the basic tools in mathematical theory of selection and evolution. The method of Hidden keystone variables (HKV) for reducing a wide class of RE of high or even infinite dimensionality to low-dimensional escort systems of ODEs, which can be explored analytically in many cases was…
Neha Pandey, Amitabh Joshi
Density-dependent selection, especially together with r-K trade-offs, has been one of the most plausible suggested mechanisms for the evolution of population stability. However, experimental support for this explanation has been both meagre and mixed. One study with Drosophila melanogaster yielded no evidence for…
Mateusz Krukowski
The paper is devoted to the study of Darwinian evolution in two mathematical models. The first one is a variation on the Malthusian population growth model with Verhulst's environmental capacity. The second model is grounded in the theory of Markov chains and their stationary distributions. We prove preliminary results…
Neha Pandey, Amitabh Joshi
Mechanisms through which population dynamics evolve to be stable have been a subject of considerable interest in population biology. One of the ways through which population stability is likely to evolve is via density-dependent selection with or without an r and K trade-off. In this paper, we test whether the specific…
Yifan Lai, Wenxiang Ying, Pengfei Huo
We derive an analytic expression of the non-equilibrium Fermi's golden rule (NE-FGR) expression for a Holstein-Tavis-Cumming Hamiltonian, a universal model for many molecules collectively coupled to the optical cavity. These NE-FGR expressions capture the full-time-dependent behavior of the rate constant for…
Snigdhadip Dey, Joy Bose, Amitabh Joshi
Density-dependent selection is expected to lead to population stability, especially if r and K tradeoff. Yet, there is no empirical evidence of adaptation to crowding leading to the evolution of stability. We show that populations of Drosophila ananassae selected for adaptation to larval crowding have higher K and…
Authors not listed
Hybridization of a molecular exciton with a quantized photon creates a polariton. Despite extensive experimental investigations, the apparent lifetime of the exciton-polariton is not well understood. We examined the steady-state population dynamics for a Holstein-Tavis-Cumming Hamiltonian to illuminate the long-term…
Authors not listed
An exhaustive benchmark of density functional approximations (DFAs) for nonadiabatic dynamics is reported on the trans-cis photoisomerization of the protonated Schiff base 3 (PSB3), which presents numerous challenges for time-dependent density functional theory (TD-DFT). We introduce a rigorous protocol for…
Neha Pandey, Rishabh Malhotra, Amitabh Joshi
Since the realization in the 1970s that simple discrete-time population growth models can show complex unstable dynamics of population size, many explanations were proposed for the evolution of enhanced population stability. The most plausible of these was density-dependent selection, suggested to favour greater…
Eric Koessler, Arkajit Mandal, Pengfei Huo
We derive the L-MFE method to incorporate Lindblad jump operator dynamics into the mean-field Ehrenfest (MFE) approach. We map the density matrix evolution of Lindblad dynamics onto pure state coefficients using trajectory averages. We use simple assumptions to construct the L-MFE method that satisfies this exact…
Authors not listed
The $a-m$ model governed by the equation $ay^3+y=mx$ with $a>0$, traces S-curves on an $xy-$ plane. Their superposition has been used to model the protease kinetic activity on various substrates as well as growth of yeast cultures, bacterial colonies, plants, and animals. Enzyme kinetics and growth are dynamic…
Authors not listed
Dynamics of population growth or enzyme kinetics do not follow a constant rate making them difficult to quantify. Therefore, a single measure of dynamics is desired to profile the kinetic activities of enzymes with respect to various substrates. In this work, we use a growth model to model enzyme kinetics and provide a…
Brianna Greenstein, Danielle Elsey, Geoffrey Hutchison
Genetic algorithms (GAs) are a powerful tool to search large chemical spaces for inverse molecular design. However, GAs have multiple hyperparameters that have not been thoroughly investigated for chemical space searches. In this work, we examine the general effects of a number of hyperparameters, such as population…