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The transient behavior of an ecosystem with N random interacting species in the presence of a multiplicative noise is analyzed. The multiplicative noise mimics the interaction with the environment. We investigate different asymptotic…

Statistical Mechanics · Physics 2009-11-10 B. Spagnolo , D. Valenti , A. Fiasconaro

Population dynamics of individuals undergoing birth and death and diffusing by short or long ranged twodimensional spatial excursions (Gaussian jumps or L\'{e}vy flights) is studied. Competitive interactions are considered in a global case,…

Statistical Mechanics · Physics 2013-10-25 E. Heinsalu , E. Hernandez-Garcia , C. Lopez

Understanding under what conditions interacting populations, whether they be plants, animals, or viral particles, coexist is a question of theoretical and practical importance in population biology. Both biotic interactions and…

Populations and Evolution · Quantitative Biology 2011-04-26 Sebastian J. Schreiber , Michel Benaïm , Kolawolé A. S. Atchadé

Highly-diverse ecosystems exhibit a broad distribution of population sizes and species turnover, where species at high and low abundances are exchanged over time. We show that these two features generically emerge in the fluctuating phase…

Populations and Evolution · Quantitative Biology 2024-01-09 Thibaut Arnoulx de Pirey , Guy Bunin

We study the evolutionary dynamics of a phenotypically structured population in a changing environment , where the environmental conditions vary with a linear trend but in an oscillatory manner. Such phenomena can be described by parabolic…

Analysis of PDEs · Mathematics 2021-05-04 Susely Figueroa Iglesias , Sepideh Mirrahimi

There is a pressing need to better understand how microbial populations respond to antimicrobial drugs, and to find mechanisms to possibly eradicate antimicrobial-resistant cells. The inactivation of antimicrobials by resistant microbes can…

Populations and Evolution · Quantitative Biology 2023-11-16 Lluís Hernández-Navarro , Matthew Asker , Alastair M. Rucklidge , Mauro Mobilia

I study a population model in which the reproduction rate lambda is inherited with mutation, favoring fast reproducers in the short term, but conflicting with a process that eliminates agglomerations of individuals. The model is a variant…

Statistical Mechanics · Physics 2021-06-02 Ronald Dickman

Conventional wisdom suggests that environmental noise drives populations toward extinction. In contrast, we report a paradoxical phenomenon in which stochasticity reverses a deterministic tipping point, thereby preventing collapse. Using a…

Populations and Evolution · Quantitative Biology 2025-07-08 Vinesh Vijayan , B Priyadharshini , R Sathish Kumar , G Janaki

Ecosystems, which are intricate amalgams of biological communities and their surrounding environments, continually evolve under the influence of their myriad interactions. The world is currently facing intensifying environmental…

Biological Physics · Physics 2023-11-23 Ikumi Kobayashi

In the past decades human activities caused global Earth system changes, e.g., climate change or biodiversity loss. Simultaneously, these associated impacts have increased environmental awareness within societies across the globe, thereby…

Physics and Society · Physics 2021-05-11 Paul Manuel Müller , Jobst Heitzig , Jürgen Kurths , Kathy Lüdge , Marc Wiedermann

Explaining the wide range of dynamics observed in ecological communities is challenging due to the large number of species involved, the complex network of interactions among them, and the influence of multiple environmental variables.…

Populations and Evolution · Quantitative Biology 2025-03-28 Francesco Ferraro , Christian Grilletta , Emanuele Pigani , Samir Suweis , Sandro Azaele , Amos Maritan

Understanding the mechanisms of species coexistence has always been a fundamental topic in ecology. Classical theory predicts that interspecific competition may select for traits that stabilize niche differences, although recent work shows…

Populations and Evolution · Quantitative Biology 2023-05-16 José F. Fontanari , Margarida Matos , Mauro Santos

Understanding the relationship between complexity and stability in large dynamical systems -- such as ecosystems -- remains a key open question in complexity theory which has inspired a rich body of work developed over more than fifty…

Populations and Evolution · Quantitative Biology 2021-07-14 Yvonne Krumbeck , Qian Yang , George W. A. Constable , Tim Rogers

The problem of natural selection in dispersal-structured populations consisting of individuals characterized by different diffusion coefficients is studied. The competition between the organisms is taken into account through the assumption…

Adaptation and Self-Organizing Systems · Physics 2020-05-01 E. Heinsalu , D. Navidad Maeso , M. Patriarca

The affect of demographic stochasticity of a system of globally coupled chaotic maps is considered. A two-step model is studied, where the intra-patch chaotic dynamics is followed by a migration step that coupled all patches; the…

Chaotic Dynamics · Physics 2015-05-13 David A. Kessler , Nadav M. Shnerb

We investigate the complex spatiotemporal dynamics of an ecological network with species dispersal mediated via a mean-field coupling. The local dynamics of the network are governed by the Truscott--Brindley model, which is an important…

Adaptation and Self-Organizing Systems · Physics 2017-09-13 Ramesh Arumugam , Tanmoy Banerjee , Partha Sharathi Dutta

As a result of climate change, many populations have to modify their range to follow the suitable areas - their "climate envelope" - often risking extinction. During this migration process, they may face absolute boundaries to dispersal,…

Analysis of PDEs · Mathematics 2009-07-07 Lionel Roques , Alain Roques , Henri Berestycki , André Kretzschmar

Vegetation in semi-arid ecosystems frequently organizes into spatially heterogeneous mosaics that regulate ecosystem functioning, productivity, and resilience. These patterns arise from local biological interactions, including facilitation…

Populations and Evolution · Quantitative Biology 2026-02-06 Àlex Giménez-Romero , Bernard A. Afful , Priscilla E. Greenwood , Manuel A. Matías , Luis F. Gordillo

This study investigates the role of spatial segregation, prompted by competition avoidance, as a key mechanism for emergent coexistence within microbial communities. Recognizing these communities as complex adaptive systems, we challenge…

Physics and Society · Physics 2024-03-12 Mattia Mattei , Alex Arenas

We study a two-species competition model in a patchy advective environment, where the species are subject to both directional drift and undirectional random dispersal between patches and there are losses of individuals in the downstream end…

Dynamical Systems · Mathematics 2023-03-22 Shanshan Chen , Junping Shi , Zhisheng Shuai , Yixiang Wu