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Suppose an initial state is coupled to a continuum of energy states. The population of the initial state is expected to decrease with time, but is the decrease monotonic? The occupation probability of the initial state is the survival…

Quantum Physics · Physics 2024-02-02 James P. Lavine

We consider adaptive change of diet of a predator population that switches its feeding between two prey populations. We develop a novel 1 fast--3 slow dynamical system to describe the dynamics of the three populations amidst continuous but…

Dynamical Systems · Mathematics 2017-01-24 Sofia H. Piltz , Frits Veerman , Philip K. Maini , Mason A. Porter

This paper studies the idea of ``deception by motion'' through a two-player dynamic game played between a Mover who must retrieve resources at a goal location, and an Eater who can consume resources at two candidate goals. The Mover seeks…

Systems and Control · Electrical Eng. & Systems 2023-06-07 Violetta Rostobaya , Yue Guan , James Berneburg , Michael Dorothy , Daigo Shishika

Previous likelihood-based linear modeling of nutritional data has been limited by the availability of software that allows flexible error structures in the data. We demonstrate the use of a Bayesian modeling approach to the analysis of such…

Statistics Theory · Mathematics 2007-06-13 Andrew Lawson , Daniela Nitcheva

Theoretical models show that in a non-constant environment two predator species feeding on one and the same prey may coexist because the two species occupy different temporal niches: the one with the longer handling time has the advantage…

Populations and Evolution · Quantitative Biology 2021-10-01 Cecilia Berardo , Stefan Geritz

Abrupt changes in behavior can often be associated with changes in underlying behavioral states. When placed off food, the foraging behavior of C. elegans can be described as a change between an initial local-search behavior characterized…

Neurons and Cognition · Quantitative Biology 2025-06-03 Andrew Margolis , Andrew Gordus

A spatial three level food web model with a closed nutrient cycle is presented and analyzed via Monte Carlo simulations. The time evolution of the model reveals two asymptotic states: an absorbing one with all species being extinct, and a…

Populations and Evolution · Quantitative Biology 2015-06-12 Janusz Szwabiński

Integrated global food system analysis is hampered by the fragmentation of data among food types, processes, and scales. Studies also often neglect the connection to human metabolism -- the ultimate driver of food demand. Here we use a…

Physics and Society · Physics 2025-08-05 Maxwell Kaye , Graham K. MacDonald , Eric Galbraith

Intercellular exchange networks are essential for the adaptive capabilities of populations of cells. While diffusional exchanges have traditionally been difficult to map, recent advances in nanotechnology enable precise probing of exchange…

Statistical Mechanics · Physics 2024-12-13 Luís C. F. Latoski , Andrea De Martino , Daniele De Martino

Consider the following forest-fire model on the upper half-plane of the triangular lattice: Each site can be "vacant" or "occupied by a tree". At time 0 all sites are vacant. Then the process is governed by the following random dynamics:…

Probability · Mathematics 2014-06-10 Robert Graf

Quantitative characterization of bacterial growth has gathered substantial attention since Monod's pioneering study. Theoretical and experimental work has uncovered several laws for describing the log growth phase, in which the number of…

Biological Physics · Physics 2017-07-05 Yusuke Himeoka , Kunihiko Kaneko

Very recently, a fundamental observable has been introduced and analyzed to quantify the exploration of random walks: the time $\tau_k$ required for a random walk to find a site that it never visited previously, when the walk has already…

Statistical Mechanics · Physics 2024-06-21 L. Régnier , M. Dolgushev , O. Bénichou

This paper investigates the dynamics of biomass in a marine ecosystem. A stochastic process is defined in which organisms undergo jumps in body size as they catch and eat smaller organisms. Using a systematic expansion of the master…

Populations and Evolution · Quantitative Biology 2010-01-11 Samik Datta , Gustav W. Delius , Richard Law

We propose a variation of harvest-then-consume protocol with low complexity where the harvest and consume phases change when the battery energy level reaches certain thresholds. The proposed protocol allows us to control the possible energy…

Networking and Internet Architecture · Computer Science 2018-07-12 Sudarshan Guruacharya , Vandana Mittal , Ekram Hossain

Ecosystems frequently display the coexistence of diverse species under resource competition, typically resulting in skewed distributions of rarity and abundance. A potential driver of such coexistence is environmental fluctuations that…

Populations and Evolution · Quantitative Biology 2025-08-07 Davide Zanchetta , Deepak Gupta , Sofia Moschin , Samir Suweis , Amos Maritan , Sandro Azaele

Combining a spatiotemporal, multi-agent based model of a foraging ecosystem with linear, genetically programmed rules for the agents' behaviors results in implicit, endogenous, objective functions and selection algorithms based on "natural…

Neural and Evolutionary Computing · Computer Science 2023-06-01 John C Stevenson

Assuming some regression model, it is common to study the conditional distribution of survival given covariates. Here, we consider the impact of further conditioning, specifically conditioning on a marginal survival function, known or…

Applications · Statistics 2016-10-11 Roxane Duroux , Cécile Chauvel , John O'Quigley

We investigate the long-term web structure emerging in evolutionary food web models when different types of functional responses are used. We find that large and complex webs with several trophic layers arise only if the population dynamics…

Populations and Evolution · Quantitative Biology 2007-05-23 Barbara Drossel , Alan McKane , Christopher Quince

In this paper, we wish to investigate the dynamics of information transfer in evolutionary dynamics. We use information theoretic tools to track how much information an evolving population has obtained and managed to retain about different…

Populations and Evolution · Quantitative Biology 2021-04-09 Nicholas Guttenberg

We design a stochastic individual-based model structured in energy, for single species consuming an external resource, where populations are characterized by a typical energy at birth in $\mathbb{R}^{*}_{+}$. The resource is maintained at a…

Probability · Mathematics 2025-01-27 Sylvain Billiard , Virgile Brodu , Nicolas Champagnat , Coralie Fritsch