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The logistic birth and death process is perhaps the simplest stochastic population model that has both density-dependent reproduction, and a phase transition, and a lot can be learned about the process by studying its extinction time,…

Probability · Mathematics 2023-06-22 Eric Foxall

The extinction of species is a major problem of concern with a large literature. Our investigation gives insight into when species extinctions must occur, with an emphasis on determining which species might possibly die out and on how fast…

Dynamical Systems · Mathematics 2023-05-10 Naghmeh Akhavan , James A. Yorke

The number of people able to end Earth's technical civilization has heretofore been small. Emerging dual-use technologies, such as biotechnology, may give similar power to thousands or millions of individuals. To quantitatively investigate…

Popular Physics · Physics 2019-08-15 John G. Sotos

We study inhomogeneous host-pathogen dynamics to model the global amphibian population extinction in a lake basin system. The lake basin system is modeled as quenched disorder. In this model we show that once the pathogen arrives at the…

Populations and Evolution · Quantitative Biology 2015-02-03 Trilochan Bagarti

A simple mathematical homogeneous model of competition is used to describe Neanderthal extinction in Europe. It considers two interacting species, Neanderthals and Early Modern Men, in the same ecological niche. Using paleontological data…

Biological Physics · Physics 2007-05-23 J. C. Flores

This report provides insights into global population dynamics since the beginning of the Anthropocene, focusing on empirical data and minimizing a priori the impact of model assumptions. It explores the Relative Growth Rate concept,…

Physics and Society · Physics 2025-11-13 Aleksandra Drozd-Rzoska , Agata Angelika Sojecka , Sylwester J. Rzoska

Estimating the human longevity and computing of life expectancy are central to the population dynamics. These aspects were studied seriously by scientists since fifteenth century, including renowned astronomer Edmund Halley. From basic…

Populations and Evolution · Quantitative Biology 2021-06-15 Arni S. R. Srinivasa Rao , James R. Carey

I study a population model in which the reproduction rate lambda is inherited with mutation, favoring fast reproducers in the short term, but conflicting with a process that eliminates agglomerations of individuals. The model is a variant…

Statistical Mechanics · Physics 2021-06-02 Ronald Dickman

Motivated by modeling the dynamics of a population living in a flowing medium where the environmental factors are random in space, we have studied an asymmetric variant of the one-dimensional contact process, where the quenched random…

Disordered Systems and Neural Networks · Physics 2015-06-16 Róbert Juhász

Given a sufficiently large universe, numerous civilizations almost surely exist. Some of these civilizations will be short-lived and die out relatively early in their development, i.e., before having the chance to spread to other planets.…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Austin Gerig , Ken D. Olum , Alexander Vilenkin

Habitat destruction threatens the viability of many populations, but its full consequences can take considerable time to unfold. Much of the discourse surrounding extinction debts--the number of species that persist transiently following…

Populations and Evolution · Quantitative Biology 2018-03-28 Katherine Meyer

Mathematical models of population extinction have a variety of applications in such areas as ecology, paleontology and conservation biology. Here we propose and investigate two types of sub-exponential models of population extinction.The…

Populations and Evolution · Quantitative Biology 2016-04-05 Georgy P. Karev , Irina G. Kareva

Comprehensive models of stochastic, clonally reproducing populations are defined in terms of general branching processes, allowing birth during maternal life, as for higher organisms, or by splitting, as in cell division. The populations…

Populations and Evolution · Quantitative Biology 2014-10-14 Kais Hamza , Peter Jagers , Fima C. Klebaner

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…

Populations and Evolution · Quantitative Biology 2021-11-30 Z. C. Feng , Y. Charles Li

In a recent study (Garrett, 2011), I described theoretical arguments and empirical evidence showing how civilization evolution might be considered from a purely physical basis. One implication is that civilization exhibits the property of…

Physics and Society · Physics 2011-02-01 Timothy J. Garrett

According to the competitive exclusion principle, in a finite ecosystem, extinction occurs naturally when two or more species compete for the same resources. An important question that arises is: when coexistence is not possible, which…

Populations and Evolution · Quantitative Biology 2017-08-16 Marcelo Martins de Oliveira , Ronald Dickman

In numerous papers, the behaviour of stochastic population models is investigated through the sign of a real quantity which is the growth rate of the population near the extinction set. In many cases, it is proven that when this growth rate…

Probability · Mathematics 2020-01-06 Dang H. Nguyen , Edouard Strickler

Several exoplanets have been discovered to date, and the next step is the search for extraterrestrial life. However, it is difficult to estimate the number of life-bearing exoplanets because our only template is based on life on Earth. In…

Earth and Planetary Astrophysics · Physics 2020-07-21 Kohji Tsumura

In this paper, the extinction problem for a class of distylous plant populations is considered within the framework of certain nonhomogeneous nearest-neighbor random walks in the positive quadrant. For the latter, extinction means…

Probability · Mathematics 2019-11-07 Gerold Alsmeyer , Kilian Raschel

The Great Filter hypothesis is an extension of the Fermi Paradox: "If life is so common in the universe, why don't we see it?" The Great Filter theory posits there are multiple obstacles or filters life must pass through which ultimately…

Populations and Evolution · Quantitative Biology 2026-02-10 Darren J. Dougan
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