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In this paper we study the long term dynamics of two prey species and one predator species. In the deterministic setting, if we assume the interactions are of Lotka-Volterra type (competition or predation), the long term behavior of this…

Probability · Mathematics 2021-11-29 Alexandru Hening , Dang Nguyen , Nhu Nguyen , Harrison Watts

A deterministic two-species predator-prey model with prey herd behavior is considered incorporating mutual interference and the effect of fear. We provide guidelines to the dynamical analysis of biologically feasible equilibrium points. We…

Dynamical Systems · Mathematics 2022-12-20 Kwadwo Antwi-Fordjour , Rana D. Parshad , Hannah E. Thompson , Stephanie B. Westaway

Does an ecological community allow stable coexistence? Identifying the general principles that determine the answer to this question is a central problem of theoretical ecology. Random matrix theory approaches have uncovered the general…

Populations and Evolution · Quantitative Biology 2025-12-12 Yu Meng , Szabolcs Horvát , Carl D. Modes , Pierre A. Haas

The Anthropocene is characterized by close interdependencies between the natural Earth system and the human society, posing novel challenges to model development. Here we present a conceptual model describing the long-term coevolution of…

Physics and Society · Physics 2017-02-06 Jan Nitzbon , Jobst Heitzig , Ulrich Parlitz

Explaining biodiversity in nature is a fundamental problem in ecology. An outstanding challenge is embodied in the so-called Competitive Exclusion Principle: two species competing for one limiting resource cannot coexist at constant…

Populations and Evolution · Quantitative Biology 2020-04-13 Xin Wang , Yang-Yu Liu

How diversity is maintained in natural ecosystems is a long-standing question in Theoretical Ecology. By studying a system that combines ecological dynamics, heterogeneous interactions and spatial structure, we uncover a new mechanism for…

Populations and Evolution · Quantitative Biology 2024-03-21 Giulia Garcia Lorenzana , Ada Altieri , Giulio Biroli

Mapping pathways to achieving the sustainable development goals requires understanding and predicting how social, economic and political factors impact biodiversity. Trends in demography, economic growth, regional alliances and consumption…

Populations and Evolution · Quantitative Biology 2020-03-26 Payal Bal , Simon Kapitza , Natasha Cadenhead , Tom Kompas , Pham Van Ha , Brendan Wintle

Ecosystems are formed by networks of species and their interactions. Traditional models of such interactions assume a constant interaction strength between a given pair of species. However, there is often significant trait variation among…

Populations and Evolution · Quantitative Biology 2022-05-03 Zachary Jackson , BingKan Xue

Natural ecosystems, in particular on the microbial scale, are inhabited by a large number of species. The population size of each species is affected by interactions of individuals with each other and by spatial and temporal changes in…

Populations and Evolution · Quantitative Biology 2023-06-23 Tom Burkart , Jan Willeke , Erwin Frey

Humankind has spread worldwide supported by cultural and technological knowledge, but the environmental sustainability on the human niche evolution depends on a new human beings relationship with the biosphere. Human lifestyles nowadays are…

Populations and Evolution · Quantitative Biology 2022-01-03 Miguel da Silva Pinheiro , Pablo José Francisco Pena Rodrigues

This is the first of two papers where we discuss the limits imposed by competition to the biodiversity of species communities. In this first paper we study the coexistence of competing species at the fixed point of population dynamic…

Populations and Evolution · Quantitative Biology 2007-05-23 Ugo Bastolla , Michael Lässig , Susanna C. Manrubia , Angelo Valleriani

Overpopulation and environmental degradation due to inadequate resource-use are outcomes of human's ecosystem engineering that has profoundly modified the world's landscape. Despite the age-old concern that unchecked population and economic…

Populations and Evolution · Quantitative Biology 2019-04-26 Guilherme M. Lopes , José F. Fontanari

Individuals within any species exhibit differences in size, developmental state, or spatial location. These differences coupled with environmental fluctuations in demographic rates can have subtle effects on population persistence and…

Populations and Evolution · Quantitative Biology 2015-12-16 Gregory Roth , Sebastian J. Schreiber

A central goal in ecology is to understand how biodiversity is maintained. Previous theoretical works have employed the rock-paper-scissors (RPS) game as a toy model, demonstrating that population mobility is crucial in determining the…

Populations and Evolution · Quantitative Biology 2026-05-21 Kaiwen Jiang , Chenyang Zhao , Shengfeng Deng , Weiran Cai , Jiqiang Zhang , Li Chen

In any ecosystem, the conditions of the environment and the characteristics of the species that inhabit it are entangled, co-evolving in space and time. We introduce a model that couples active agents with a dynamic environment, interpreted…

Populations and Evolution · Quantitative Biology 2025-12-10 G. Briozzo , G. J. Sibona , F. Peruani

Common-pool resource governance requires users to cooperate and avoid overexploitation, but defection and free-riding often undermine cooperation. We model a human-environmental system that integrates dynamics of resource and users'…

Theoretical Economics · Economics 2024-01-23 Chengyi Tu , Renfei Chen , Ying Fan , Yongliang Yang

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

Global environmental change is affecting species distribution and their interactions with other species. In particular, the main drivers of environmental change strongly affect the strength of interspecific interactions with considerable…

Populations and Evolution · Quantitative Biology 2013-08-19 Serguei Saavedra , Rudolf P. Rohr , Vasilis Dakos , Jordi Bascompte

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

We discuss a simple model of co-evolution. In order to emphasise the effect of interaction between individuals the entire population is subjected to the same physical environment. Species are emergent structures and extinction, origination…

Statistical Mechanics · Physics 2007-05-23 Kim Christensen , Simone A. di Collobiano , Matt Hall , Henrik J. Jensen