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Mutualistic interactions, where individuals from different species can benefit from each other, are widespread across ecosystems. This study develops a general deterministic model of mutualism involving two populations, assuming that…

Populations and Evolution · Quantitative Biology 2026-02-26 Chloë Mian , Sylvain Billiard , Violaine Llaurens , Charline Smadi

For networked systems, Persistent Excitation and Integral Scrambling Condition are conditions ensuring that communication failures between agents can occur, but a minimal level of service is ensured. We consider cooperative multi-agent…

Optimization and Control · Mathematics 2024-07-16 Fabio Ancona , Mohamed Bentaibi , Francesco Rossi

We consider a biological population in which a beneficial mutation is undergoing a selective sweep when a second beneficial mutation arises at a linked locus and we investigate the probability that both mutations will eventually fix in the…

Probability · Mathematics 2008-12-02 Feng Yu , Alison Etheridge , Charles Cuthbertson

Structure, composition and stability of ecological populations are shaped by the inter- and intra-species interactions within these communities. It remains to be fully understood how the interplay of these interactions with other factors,…

Populations and Evolution · Quantitative Biology 2023-01-16 Nava Leibovich , Jeremy Rothschild , Sidhartha Goyal , Anton Zilman

Communication noise is a common feature in several real-world scenarios where systems of agents need to communicate in order to pursue some collective task. In particular, many biologically inspired systems that try to achieve agreements on…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-03 Francesco d'Amore , Isabella Ziccardi

Consensus is a most fundamental task in distributed computing. This paper studies the consensus problem for a set of processes connected by a dynamic directed network, in which computation and communication is lock-step synchronous but…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-28 Ami Paz , Hugo Rincon Galeana , Stefan Schmid , Ulrich Schmid , Kyrill Winkler

The evolution of multicellularity was a major transition in the history of life on earth. Conditions under which multicellularity is favored have been studied theoretically and experimentally. But since the construction of a multicellular…

Populations and Evolution · Quantitative Biology 2018-03-19 Jason Olejarz , Kamran Kaveh , Carl Veller , Martin A. Nowak

An active area of research interest is the inference of ecological models of complex microbial communities. Inferring such ecological models entails understanding the interactions between microbes and how they affect each other's growth.…

Applications · Statistics 2022-10-19 William Krinsman

In evolutionary dynamics, a key measure of a mutant trait's success is the probability that it takes over the population given some initial mutant-appearance distribution. This "fixation probability" is difficult to compute in general, as…

Populations and Evolution · Quantitative Biology 2022-02-18 Alex McAvoy , Benjamin Allen

Species coexistence is one of the central themes in modern ecology. Coexistence is a prerequisite of biological diversity. However, the question arises how biodiversity can be reconciled with the statement of competition theory, which…

Populations and Evolution · Quantitative Biology 2007-08-17 Dalius Balciunas

Resource competition in heterogeneous environments is still an unresolved problem of theoretical ecology. In this article I analyze competition between two phytoplankton species in a deep water column, where the distributions of main…

Populations and Evolution · Quantitative Biology 2012-01-26 Alexei B. Ryabov

The intestinal microbiota plays important roles in digestion and resistance against entero-pathogens. As with other ecosystems, its species composition is resilient against small disturbances but strong perturbations such as antibiotics can…

Quantitative Methods · Quantitative Biology 2015-06-04 Vanni Bucci , Serena Bradde , Giulio Biroli , Joao B. Xavier

We present new theoretical and empirical results on the probability distributions of species persistence times in natural ecosystems. Persistence times, defined as the timespans occurring between species' colonization and local extinction…

Populations and Evolution · Quantitative Biology 2012-03-21 S. Suweis , E. Bertuzzo , L. Mari , I. Rodriguez-Iturbe , A. Maritan , A. Rinaldo

We consider the problem of determining the existence of a sequence of matrices driving a discrete-time consensus system to consensus. We transform this problem into one of the existence of a product of the transition (stochastic) matrices…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-05 Pierre-Yves Chevalier , Julien M. Hendrickx , Raphaël M. Jungers

We study settings in which agents with incomplete preferences need to make a collective decision. We focus on a process of majority dynamics where issues are addressed one at a time and undecided agents follow the opinion of the majority.…

Computer Science and Game Theory · Computer Science 2022-05-03 Sirin Botan , Simon Rey , Zoi Terzopoulou

Apparent competition is an indirect interaction between species that share natural resources without any mutual aggression but negatively affect each other if there is a common enemy. The negative results of the apparent competition are…

Populations and Evolution · Quantitative Biology 2022-02-16 J. Menezes , B. Moura

This paper focuses on the problem of distributed consensus control of multi-agent systems while considering two main practical concerns (i) stochastic noise in the agent dynamics and (ii) predefined performance constraints over evolutions…

Systems and Control · Electrical Eng. & Systems 2022-03-09 Pushpak Jagtap , Dimos V. Dimarogonas

Regular vegetation patterns in semiarid ecosystems are believed to arise from the interplay between long-range competition and facilitation processes acting at smaller distances. We show that, under rather general conditions, long-range…

Populations and Evolution · Quantitative Biology 2014-07-24 Ricardo Martinez-Garcia , Justin M. Calabrese , Emilio Hernandez-Garcia , Cristobal Lopez

We study a stochastic spatial model of biological competition in which two species have the same birth and death rates, but different diffusion constants. In the absence of this difference, the model can be considered as an off-lattice…

Populations and Evolution · Quantitative Biology 2015-06-16 Simone Pigolotti , Roberto Benzi

This paper investigates the competition of two species in a heterogeneous environment subject to the effect of harvesting. The most realistic harvesting case is connected with the intrinsic growth rate, and the harvesting functions are…

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