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Related papers: Does random dispersion help survival?

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Many species live in colonies that thrive for a while and then collapse. Upon collapse very few individuals survive. The survivors start new colonies at other sites that thrive until they collapse, and so on. We introduce spatial and…

Probability · Mathematics 2019-03-05 Fábio Prates Machado , Alejandro Roldán-Correa , Rinaldo B. Schinazi

We consider stochastic growth models to represent population subject to catastrophes. We analyze the subject from different set ups considering or not spatial restrictions, whether dispersion is a good strategy to increase the population…

Probability · Mathematics 2019-03-05 Valdivino Vargas Junior , Fábio Prates Machado , Alejandro Roldán-Correa

We consider the dynamics of a population spatially structured in colonies that are vulnerable to catastrophic events occurring at random times, which randomly reduce their population size and compel survivors to disperse to neighboring…

Probability · Mathematics 2024-07-23 Valdivino V. Junior , Fábio P. Machado , Alejandro Roldán-Correa

Recently, different dispersion strategies in population models subject to geometric catastrophes have been considered as strategies to improve the chance of po\-pu\-lation's survival. Such dispersion strategies have been contrasted with the…

Probability · Mathematics 2023-03-17 Valdivino Vargas Junior , Fábio Prates Machado , Alejandro Roldán-Correa

We consider stochastic growth models to represent population dynamics subject to geometric catastrophes. We analyze different dispersion schemes after catastrophes, to study how these schemes impact the population viability and comparing…

Probability · Mathematics 2020-12-23 Valdivino Vargas Junior , Fábio Prates Machado , Alejandro Roldan-Correa

We consider stochastic growth models for populations organized in colonies and subject to uniform catastrophes. To assess population viability, we analyze scenarios in which individuals adopt dispersion strategies after catastrophic events.…

Probability · Mathematics 2026-02-09 Joan Amaya , Valdivino V. Junior , Fábio P. Machado , Alejandro Roldán-Correa

How should dispersal strategies be chosen to increase the likelihood of survival of a species? We obtain the answer for the spatially extended versions of three well-known models of two competing species with unequal diffusivities. Though…

Populations and Evolution · Quantitative Biology 2020-07-08 Tapas Singha , Prasad Perlekar , Mustansir Barma

Populations are often subject to catastrophes that cause mass removal of individuals. Many stochastic growth models have been considered to explain such dynamics. Among the results reported, it has been considered whether dispersion…

Probability · Mathematics 2023-08-21 F. Duque , V. V. Junior , F. P. Machado , A. Roldan-Correa

Linyphiid spiders have evolved the ability to disperse long distances by a process known as ballooning. It has been hypothesized that ballooning may allow populations to persist in the highly disturbed agricultural areas that the spiders…

Populations and Evolution · Quantitative Biology 2010-01-15 Leah R. Johnson

An organism that is newly introduced into an existing population has a survival probability that is dependent on both the population density of its environment and the competition it experiences with the members of that population.…

Populations and Evolution · Quantitative Biology 2024-12-17 Jason M. Gray , Rowan J. Barker-Clarke , Jacob G. Scott , Michael Hinczewski

Transposons are small, self-replicating DNA sequences found in every branch of life. Often, one transposon will parasitize another, forming a tiny intracellular ecosystem. In some species these ecosystems thrive, while in others they go…

Populations and Evolution · Quantitative Biology 2025-05-21 Aria Yom , Nathan E. Lewis

The evolution of dispersal rate is studied with a model of several local populations linked by dispersal. Three dispersal strategies are considered where all, half, or none of the offspring disperse. The spatial scale (number of patches)…

Populations and Evolution · Quantitative Biology 2019-03-12 Emmanuel Paradis

We investigate a basic immigration process where colonies grow, during a random time, according to a general counting process until collapse. Upon collapse a random amount of individuals survive. These survivors try independently…

Probability · Mathematics 2016-12-21 Valdivino V. Junior , Fábio P. Machado , Alejandro Roldán-Correa

We study a class of branching processes in which the offspring distribution is not specified directly but is induced by a cycle of internal colony growth, catastrophic reduction and structured dispersal. The parameters governing growth,…

Probability · Mathematics 2026-05-07 Lucas R. de Lima , Fábio P. Machado

Dispersal between different habitats influences the dynamics and stability of populations considerably. Furthermore, these effects depend on the local interactions of a population with other species. Here, we perform a general and…

Biological Physics · Physics 2016-03-18 Philipp Gramlich , Sebastian J. Plitzko , Lars Rudolf , Barbara Drossel , Thilo Gross

Researchers puzzle over questions as to how rare species survive extinction, and why a significant proportion of microbial taxa are dormant. Computational simulation modeling by a genetic algorithm provides some answers. First, a…

Populations and Evolution · Quantitative Biology 2025-07-01 Sasanka Sekhar Chanda

A simplified model for the growth of a population is studied in which random effects arise because reproducing individuals have a certain probability of surviving until the next breeding season and hence contributing to the next generation.…

Populations and Evolution · Quantitative Biology 2016-04-05 Henry C. Tuckwell

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

We consider branching like models in local, global and fixed environments. We show that survival is more likely in a locally changing environment than in a fixed environment and that survival in a fixed environment is itself more likely…

Probability · Mathematics 2016-07-12 Rinaldo B. Schinazi

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
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