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Most organisms grow in space, whether they are viruses spreading within a host tissue or invasive species colonizing a new continent. Evolution typically selects for higher expansion rates during spatial growth, but it has been suggested…

Populations and Evolution · Quantitative Biology 2022-05-18 Hyunseok Lee , Jeff Gore , Kirill S. Korolev

Mosquitoes are vectors of numerous diseases; a strategy to fight the spread of these diseases is to control the vector population. In this article, we focus on the use of the sterile insect technique. Starting from a reaction-diffusion…

Analysis of PDEs · Mathematics 2025-11-06 Luís Almeida , Alexis Léculier , Nga Nguyen , Nicolas Vauchelet

In the framework of Lotka-Volterra dynamics with evolutionary parameter variation, it is shown that a system of two competing species which is evolutionarily unstable, if left to themselves, is stabilized by a commmon predator preying on…

Condensed Matter · Physics 2009-11-10 Taksu Cheon , Shigemi Ohta

Bacteria typically reside in heterogeneous environments with various chemogradients where motile cells can gain an advantage over non-motile cells. Since motility is energetically costly, cells must optimize their swimming speed and…

Populations and Evolution · Quantitative Biology 2020-05-05 Gurdip Uppal , Weiyi Hu , Dervis Can Vural

Turbulence plays a major role in shaping marine community structure as it affects organism dispersal and guides fundamental ecological interactions. Below oceanographic mesoscale dynamics, turbulence also impinges on subtle…

Biological Physics · Physics 2019-10-29 Matteo Borgnino , Jorge Arrieta , Guido Boffetta , Filippo De Lillo , Idan Tuval

We investigate how perturbations propagate up and down a food chain with and without self-interaction and omnivory. A source of perturbation is a shift in death rate of a trophic level, and the measure of perturbation is the difference…

Populations and Evolution · Quantitative Biology 2017-02-07 Iaroslav Ispolatov , Michael Doebeli

In a diverse population, where many species are present, competitors can fight for surviving at individual and collective levels. In particular, species, which would beat each other individually, may form a specific alliance that ensures…

Populations and Evolution · Quantitative Biology 2023-01-03 Junpyo Park , Xiaojie Chen , Attila Szolnoki

The induced diffusion of tracers in a bacterial suspension is studied theoretically and experimentally at low bacterial concentrations. Considering the swimmer-tracer hydrodynamic interactions at low-Reynolds number and using a kinetic…

Soft Condensed Matter · Physics 2015-06-11 G. L. Miño , J. Dunstan , A. Rousselet , E. Clement , R. Soto

We model the growth, dispersal and mutation of two phenotypes of a species using reaction-diffusion equations, focusing on the biologically realistic case of small mutation rates. After verifying that the addition of a small linear mutation…

Analysis of PDEs · Mathematics 2017-09-19 Aled Morris , Luca Börger , Elaine Crooks

Run-and-tumble is a common but vital strategy that bacteria employ to explore environment suffused with boundaries, as well as to escape from entrapment. In this study we reveal how this strategy and the resulting dynamical behavior can be…

Soft Condensed Matter · Physics 2025-01-30 Premkumar Leishangthem , Xuan Wang , Junan Chen , Shengqi Yang , Xinliang Xu

Ecology and evolution under changing environments are important in many subfields of biology with implications for medicine. Here, we explore an example: the consequences of fluctuating environments on the emergence of antibiotic…

Populations and Evolution · Quantitative Biology 2021-04-13 Bryce Morsky , Dervis Can Vural

Competition between biological species in marine environments is affected by the motion of the surrounding fluid. An effective 2D compressibility can arise, for example, from the convergence and divergence of water masses at the depth at…

Populations and Evolution · Quantitative Biology 2019-01-24 Abigail Plummer , Roberto Benzi , David R. Nelson , Federico Toschi

Predicting the evolution of expanding population is critical to control biological threats such as invasive species and virus explosion. In this paper, we consider a two species chemotaxis system of parabolic-parabolic-elliptic type with…

Analysis of PDEs · Mathematics 2021-02-22 Lianzhang Bao , Wenxian Shen

Contact inhibition limits migration and proliferation of cells in cell colonies. We consider a multiphase field model to investigate the growth dynamics of a cell colony, composed of proliferating cells. The model takes into account the…

Soft Condensed Matter · Physics 2022-03-14 Harish P. Jain , Dennis Wenzel , Axel Voigt

Despite the importance that fluid flow plays in transporting and organizing populations, few laboratory systems exist to systematically investigate the impact of advection on their spatial evolutionary dynamics. To address this problem, we…

Soft Condensed Matter · Physics 2019-07-03 Severine Atis , Bryan T. Weinstein , Andrew W. Murray , David R. Nelson

Active swarms, consisting of individual agents which consume energy to move or produce work, are known to generate a diverse range of collective behaviors. Many examples of active swarms are biological in nature (e.g., fish shoals and bird…

Soft Condensed Matter · Physics 2019-02-06 Vladimir Khodygo , Martin T. Swain , Adil Mughal

We study the growth of a population of bacteria in a dynamical hostile environment corresponding to the immune system of the colonised organism. The immune cells evolve as subcritical open clusters of oriented percolation and are…

Populations and Evolution · Quantitative Biology 2013-10-07 Olivier Garet , Régine Marchand

Bacteria can spontaneously develop collective motions by aligning their motions in dense systems. Here, we show that bacteria can also respond collectively to an alternating electrical field and form dynamic clusters oscillating at the same…

Soft Condensed Matter · Physics 2022-10-11 Mei Mei Bao , Isaiah Eze Igwe , Kang Chen , Tian Hui Zhang

Active matter exhibits remarkable collective behavior in which flows, continuously generated by active particles, are intertwined with the orientational order of these particles. The relationship remains poorly understood as the activity…

A new kinetic model for the dynamics of myxobacteria colonies on flat surfaces is derived formally, and first analytical and numerical results are presented. The model is based on the assumption of hard binary collisions of two different…

Analysis of PDEs · Mathematics 2020-08-10 Sabine Hittmeir , Laura Kanzler , Angelika Manhart , Christian Schmeiser