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We consider a stochastic model for an evolving population. We show that in the presence of genotype extinctions the population dies out for a low mutation probability but may survive for a high mutation probability. This turns upside down…

Populations and Evolution · Quantitative Biology 2014-10-24 Rinaldo B. Schinazi

A survival model is derived from the exponential function using the concept of fractional differentiation. The hazard function of the proposed model generates various shapes of curves including increasing, increasing-constant-increasing,…

Statistics Theory · Mathematics 2007-06-13 Cheng K. Lee , Jenq-Daw Lee

Matsushita et al (1992) have done an interesting finding. They observed that the shape parameter of the Weibull model presented systematic changes over time and age when applied to mortality data for males and females in Japan. They have…

Populations and Evolution · Quantitative Biology 2019-04-24 Christos H Skiadas , Charilaos Skiadas

Well protected human and laboratory animal populations with abundant resources are evolutionary unprecedented, and their survival far beyond reproductive age may be a byproduct rather than tool of evolution. Physical approach, which takes…

Populations and Evolution · Quantitative Biology 2015-06-26 Mark Ya. Azbel'

Aging is a fundamental aspect of living systems that undergo a progressive deterioration of physiological function with age and an increase of vulnerability to disease and death. Living systems, known as complex systems, require complexity…

Populations and Evolution · Quantitative Biology 2010-11-15 Byung Mook Weon , Jung Ho Je

We study the dynamics of an age-structured population in which the life expectancy of an offspring may be mutated with respect to that of its parent. When advantageous mutation is favored, the average fitness of the population grows…

Statistical Mechanics · Physics 2009-10-31 W. Hwang , P. L. Krapivsky , S. Redner

We are living in an uncertain and dynamically changing world, where optimal decision-making under uncertainty is directly linked to the survival of species. However, evolutionary selection pressures that shape value-based decision-making…

Populations and Evolution · Quantitative Biology 2018-04-04 Erdem Pulcu

We study a generic reaction-diffusion model for single-species population dynamics that includes reproduction, death, and competition. The population is assumed to be confined in a refuge beyond which conditions are so harsh that they lead…

Statistical Mechanics · Physics 2009-11-10 C. Escudero , J. Buceta , F. J. de la Rubia , Katja Lindenberg

In this paper we explore the life expectancy limits by based on the stochastic modeling of mortality and applying the first exit or hitting time theory of a stochastic process. The main assumption is that the health state or the "vitality",…

Chaotic Dynamics · Physics 2011-01-11 Christos H Skiadas , Charilaos Skiadas

Recent interest in human dynamics has stimulated the investigation of the stochastic processes that explain human behaviour in various contexts, such as mobile phone networks and social media. In this paper, we extend the stochastic…

Physics and Society · Physics 2016-03-23 Trevor Fenner , Mark Levene , George Loizou

Essential to each other, growth and exploration are jointly observed in populations, be it alive such as animals and cells or inanimate such as goods and money. But their ability to move, crucial to cope with uncertainty and optimize…

Statistical Mechanics · Physics 2020-10-06 Thomas Gueudré , David Martin

Genetic information and environmental factors determine the path of an individuals life and therefore, the evolution of its entire species. We have succeeded in proposing and studying a model that captures this idea. In our model, a…

Populations and Evolution · Quantitative Biology 2021-07-28 N. Abadi , G. Abramson

Life on earth is distinguished by long-lived correlations in time. The patterns of material organization that characterize living organisms today are contingent on events that occurred billions of years ago. This contingency is a necessary…

Soft Condensed Matter · Physics 2021-01-06 Peter M. Tzelios , Kyle J. M. Bishop

While fields like Artificial Life have made huge strides in quantifying the mechanisms that distinguish living systems from non-living ones, particular mechanisms remain difficult to reproduce in silico. Known as open-endedness, we've been…

Biological Physics · Physics 2024-07-18 Alyssa M Adams , Eliott Jacopin , Praful Gagrani , Olaf Witkowski

Biological aging is characterized by an age-dependent increase in the probability of death and by a decrease in the reproductive capacity. Individual age-dependent rates of survival and reproduction have a strong impact on population…

Populations and Evolution · Quantitative Biology 2016-02-03 Arian Šajina , Dario Riccardo Valenzano

Humankind has spread worldwide supported by cultural and technological knowledge, but the environmental sustainability on the human niche evolution depends on a new human beings relationship with the biosphere. Human lifestyles nowadays are…

Populations and Evolution · Quantitative Biology 2022-01-03 Miguel da Silva Pinheiro , Pablo José Francisco Pena Rodrigues

The question of whether a population will persist or go extinct is of key interest throughout ecology and biology. Various mathematical techniques allow us to generate knowledge regarding individual behaviour, which can be analysed to…

Populations and Evolution · Quantitative Biology 2021-04-28 Stuart T. Johnston , Matthew J. Simpson , Edmund J. Crampin

With exponential growth in the human population, it is vital to conserve natural resources without compromising on producing enough food to feed everyone. Doing so can improve people's livelihoods, health, and ecosystems for the present and…

Machine Learning · Computer Science 2022-09-16 Fiona Victoria Stanley Jothiraj

The problem of natural selection in dispersal-structured populations consisting of individuals characterized by different diffusion coefficients is studied. The competition between the organisms is taken into account through the assumption…

Adaptation and Self-Organizing Systems · Physics 2020-05-01 E. Heinsalu , D. Navidad Maeso , M. Patriarca

Natural selection favors the more successful individuals. This is the elementary premise that pervades common models of evolution. Under extreme conditions, however, the process may no longer be probabilistic. Those that meet certain…

Physics and Society · Physics 2014-03-07 Attila Szolnoki , Alberto Antonioni , Marco Tomassini , Matjaz Perc