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This paper applies a recently developed power allocation game in Li and Morse (2017) to study the countries' survival problem in networked international environments. In the game, countries strategically allocate their power to support the…

Social and Information Networks · Computer Science 2017-10-10 Yuke Li , A. Stephen Morse , Ji Liu , Tamer Başar

Organisms that grow and survive in uncertain environments may need to change their physiological state as the environment changes. When the environment is uncertain, one strategy known as bet-hedging is to make these changes randomly and…

Cell Behavior · Quantitative Biology 2023-04-28 David Lacoste , Olivier Rivoire , David S. Tourigny

Phenotypic plasticity and its evolution may help evolutionary rescue in a novel and stressful environment, especially if environmental novelty reveals cryptic genetic variation that enables the evolution of increased plasticity. However,…

Populations and Evolution · Quantitative Biology 2016-09-23 Jaime Ashander , Luis-Miguel Chevin , Marissa L. Baskett

We consider here a logistic equation, modeling processes of nonlocal character both in the diffusion and proliferation terms. More precisely, for populations that propagate according to a L\'evy process and can reach resources in a…

Analysis of PDEs · Mathematics 2016-01-22 Luis Caffarelli , Serena Dipierro , Enrico Valdinoci

A robotic swarm that is required to operate for long periods in a potentially unknown environment can use both evolution and individual learning methods in order to adapt. However, the role played by the environment in influencing the…

Neural and Evolutionary Computing · Computer Science 2018-04-23 Andreas Steyven , Emma Hart , Ben Paechter

Biochemistry, ecology, and neuroscience are examples of prominent fields aiming at describing interacting systems that exhibit non-trivial couplings to complex, ever-changing environments. We have recently shown that linear interactions and…

Statistical Mechanics · Physics 2022-08-10 Giorgio Nicoletti , Daniel Maria Busiello

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

Most real life systems have a random component: the multitude of endogenous and exogenous factors influencing them result in stochastic fluctuations of the parameters determining their dynamics. These empirical systems are in many cases…

General Finance · Quantitative Finance 2010-01-04 Gur Yaari , Sorin Solomon

In this paper we investigate the evolution of cooperation when the interaction structure is strictly local, and hence fitness only depends on local behaviors, while the competition structure is partly global, and hence selection can happen…

Frequency-dependent selection reflects the interaction between different species as they battle for limited resources in their environment. In a stochastic evolutionary game the species relative fitnesses guides the evolutionary dynamics…

Probability · Mathematics 2020-12-29 Lea Popovic , Liam Peuckert

The focus of a survival study is partly on the distribution of survival times, and partly on the health or quality of life of patients while they live. Health varies over time, and survival is the most basic aspect of health, so the two…

Methodology · Statistics 2016-01-20 Walter Dempsey , Peter McCullagh

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

Resource are often not uniformly distributed within a population. Spatial variations of concentration of a resource, change the fitness of competing strategies locally. The notion of fitness varying with respect to both genotype and…

Populations and Evolution · Quantitative Biology 2022-04-08 Hossein Nemati , Mohammad Reza Ejtehadi , Kamran Kaveh

We consider a random walk with death in $[-N,N]$ moving in a time dependent environment. The environment is a system of particles which describes a current flux from $N$ to $-N$. Its evolution is influenced by the presence of the random…

Probability · Mathematics 2015-07-29 Anna De Masi , Errico Presutti , Dimitrios Tsagkarogiannis , Maria Eulalia Vares

We conducted an investigation of the effect that extreme variability of the individual's environment has in the individual's adaptability and, in general, in the co-evolution of a population. First we assume that the individuals are a kind…

Biological Physics · Physics 2008-04-21 Juan G. Diaz Ochoa

Environmental changes play a critical role in determining the evolution of social dilemmas in many natural or social systems. Generally, the environmental changes include two prominent aspects: the global time-dependent fluctuations and the…

Physics and Society · Physics 2022-12-14 Yishen Jiang , Xin Wang , Longzhao Liu , Ming Wei , Jingwu Zhao , Zhiming Zheng , Shaoting Tang

Competition between species and genotypes is a dominant factor in a variety of ecological and evolutionary processes. Biological dynamics are typically highly stochastic, and therefore, analyzing a competitive system requires accounting for…

Populations and Evolution · Quantitative Biology 2025-01-09 Ori Turkia , Nadav M. Shnerb

Global environmental change is affecting species distribution and their interactions with other species. In particular, the main drivers of environmental change strongly affect the strength of interspecific interactions with considerable…

Populations and Evolution · Quantitative Biology 2013-08-19 Serguei Saavedra , Rudolf P. Rohr , Vasilis Dakos , Jordi Bascompte

We consider the critical branching processes in correlated random environment which is positively associated and study the probability of survival up to the n-th generation. Moreover, when the environment is given by fractional Brownian…

Probability · Mathematics 2019-03-28 Xinxin Chen , Nadine Guillotin-Plantard

Interactions among individuals in natural populations often occur in a dynamically changing environment. Understanding the role of environmental variation in population dynamics has long been a central topic in theoretical ecology and…

Populations and Evolution · Quantitative Biology 2021-05-18 Feng Huang , Ming Cao , Long Wang
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