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We examine the switching dynamics of a stochastic population subjected to a deterministically time-varying environment. Our approach is demonstrated in the realm of ecology on a problem of population establishment. Here, by assuming a…

Statistical Mechanics · Physics 2020-02-19 Tom Israeli , Michael Assaf

The propagation of a probe field in an N-type four level cold atomic system is investigated under the influence of multiple coherent fields. Coherent control of quantum interference enables switching of the probe field between transparency…

Quantum Physics · Physics 2025-08-27 Parkhi Bhardwaj , Poonam Yadav , Bodhaditya Santra , Shubhrangshu Dasgupta

Lots of bio-inspired research works have been conducted in self-adaptive software. They have focused on the external behavior of biological entities without their genetic material that causes this behavior and constitutes the challenge this…

Software Engineering · Computer Science 2019-04-30 Enas Nafar , Said Ghoul

A novel mechanism for sympatric speciation that takes into account complex bio-processes within each individual organism is proposed. According to dynamical systems theory, organisms with identical genotypes can possess differentiated…

Condensed Matter · Physics 2007-05-23 Kunihiko Kaneko , Tetsuya Yomo

There exist a number of results proving that for certain classes of interacting particle systems in population genetics, mutual invadability of types implies coexistence. In this paper we prove a sort of converse statement for a class of…

Probability · Mathematics 2013-03-21 Jan M. Swart

Severe impossibility results restrict the design of strategyproof random assignment mechanisms, and trade-offs are necessary when aiming for more demanding efficiency requirements, such as ordinal or rank efficiency. We introduce hybrid…

Computer Science and Game Theory · Computer Science 2017-07-11 Timo Mennle , Sven Seuken

We investigate structural transitions in adaptive networks where node states remain fixed and only the connections evolve via state-dependent rewiring. Using a general framework characterized by probabilistic rules for disconnection and…

Physics and Society · Physics 2026-01-23 R. Cárdenas-Sabando , M. G. Cosenza , J. C. González-Avella

We consider a model for substrate-depletion oscillations in genetic systems, based on a stochastic differential equation with a slowly evolving external signal. We show the existence of critical transitions in the system. We apply two…

Chaotic Dynamics · Physics 2014-03-13 Jesse Berwald , Marian Gidea

In biology and ecology, individuals or communities of individuals living in unpredictable environments often alternate between different evolutionary strategies to spread and reduce risks. Such behavior is commonly referred to as…

Populations and Evolution · Quantitative Biology 2015-03-11 Jorge Hidalgo , Simone Pigolotti , Miguel A. Munoz

A control strategy is employed that modifies the stochastic escape times from one basin of attraction to another in a model of a double-gyre flow. The system studied captures the behavior of a large class of fluid flows that circulate and…

Fluid Dynamics · Physics 2014-10-23 Christoffer R. Heckman , M. Ani Hsieh , Ira B. Schwartz

We consider the evolutionary dynamics of a cooperative game on an adaptive network, where the strategies of agents (cooperation or defection) feed back on their local interaction topology. While mutual cooperation is the social optimum,…

Physics and Society · Physics 2010-09-13 Gerd Zschaler , Arne Traulsen , Thilo Gross

Horizontal gene transfer consists in exchanging genetic materials between microorganisms during their lives. This is a major mechanism of bacterial evolution and is believed to be of main importance in antibiotics resistance. We consider a…

Probability · Mathematics 2019-12-18 Nicolas Champagnat , Sylvie Méléard , Viet Chi Tran

Cooperative behaviors are defined as the production of common goods benefitting all members of the community at the producer's cost. They could seem to be in contradiction with natural selection, as non-cooperators have an increased fitness…

Populations and Evolution · Quantitative Biology 2014-03-17 Bahram Houchmandzadeh

Cooperation is a major factor in the evolution of human societies. The structure of human social networks, which affects the dynamics of cooperation and other interpersonal phenomena, have common structural signatures. One of these…

Social and Information Networks · Computer Science 2018-07-10 Babak Fotouhi , Naghmeh Momeni , Benjamin Allen , Martin A. Nowak

When a Genetic Algorithm (GA), or a stochastic algorithm in general, is employed in a statistical problem, the obtained result is affected by both variability due to sampling, that refers to the fact that only a sample is observed, and…

Computation · Statistics 2019-03-07 Manuel Rizzo , Francesco Battaglia

Epistasis describes the phenomenon that mutations at different loci do not have independent effects with regard to certain phenotypes. Understanding the global epistatic landscape is vital for many genetic and evolutionary theories. Current…

Molecular Networks · Quantitative Biology 2015-02-11 Brandon Barker , Lin Xu , Zhenglong Gu

This paper investigates contraction properties of switched dynamical systems for the case that all modes are non-contracting, thereby extending existing results that require at least one mode to be contracting. Leveraging the property that…

Systems and Control · Electrical Eng. & Systems 2025-12-19 Edwin Baum , Zonglin Liu , Yuzhen Qin , Olaf Stursberg

Self-organized bistability (SOB) stands as a critical behavior for the systems delicately adjusting themselves to the brink of bistability, characterized by a first-order transition. Its essence lies in the inherent ability of the system to…

Adaptation and Self-Organizing Systems · Physics 2024-01-08 Md Sayeed Anwar , Nikita Frolov , Alexander E. Hramov , Dibakar Ghosh

Transcriptional delay can significantly impact the dynamics of gene networks. Here we examine how such delay affects bistable systems. We investigate several stochastic models of bistable gene networks and find that increasing delay…

Molecular Networks · Quantitative Biology 2015-06-16 Chinmaya Gupta , José Manuel López , William Ott , Krešimir Josíc , Matthew R. Bennett

Many real-world systems studied are governed by complex, nonlinear dynamics. By modeling these dynamics, we can gain insight into how these systems work, make predictions about how they will behave, and develop strategies for controlling…

Machine Learning · Statistics 2019-06-05 Josue Nassar , Scott W. Linderman , Monica Bugallo , Il Memming Park
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