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Higher-order interactions (HOIs) have the potential to greatly increase our understanding of ecological interaction networks beyond what is possible with established models that usually consider only pairwise interactions between organisms.…

Dynamical Systems · Mathematics 2025-02-05 Thomas Van Giel , Aisling J. Daly , Jan M. Baetens , Bernard De Baets

Explaining the emergence of self-organized biodiversity and species abundance distribution patterns remians a fundamental challenge in ecology. While classical frameworks, such as neutral theory and models based on pairwise species…

Populations and Evolution · Quantitative Biology 2025-10-29 Ju Kang , Yiyuan Niu , Yuanzhi Li , Chengjin Chu

Understanding the population dynamics of ecological systems is crucial for predicting shifts in biodiversity and ensuring the protection of these systems. Established models often focus on pairwise species interactions, yet recent studies…

Populations and Evolution · Quantitative Biology 2026-01-22 Thomas Van Giel , Hanna Jaspaert , Aisling J. Daly , Bernard De Baets , Jan M. Baetens

Ecological models traditionally explain stability and coexistence through pairwise interactions among species. These interactions can also involve groups of three or more species, higher-order interactions, which recent theory suggests can…

Populations and Evolution · Quantitative Biology 2025-10-07 Marc Duran-Sala , Sandro Meloni , Violeta Calleja-Solanas

The persistence of biodiversity of species is a challenging proposition in ecological communities in the face of Darwinian selection. The present article investigates beyond the pairwise competitive interactions and provides a novel…

Populations and Evolution · Quantitative Biology 2022-11-09 Sourin Chatterjee , Sayantan Nag Chowdhury , Dibakar Ghosh , Chittaranjan Hens

Natural birth and death are fundamental mechanisms of population dynamics in ecosystems and have played pivotal roles in shaping population dynamics. Nevertheless, in studies of cyclic competition systems governed by the rock-paper-scissors…

Populations and Evolution · Quantitative Biology 2026-02-19 Yikang Lu , Wenhao She , Xiaofang Duan , Junpyo Park

Understanding the mechanisms that govern species coexistence and biodiversity represents a fundamental challenge in ecology. This study extends the classic rock-paper-scissors model by introducing a context-dependent higher-order…

Populations and Evolution · Quantitative Biology 2026-03-03 Chunpeng Du , Haoshu Wang , Yikang Lu , Lijuan Qin , Junpyo Park

Complex systems, such as economic, social, biological, and ecological systems, usually feature interactions not only between pairwise entities but also among three or more entities. These multi-entity interactions are known as higher-order…

Physics and Society · Physics 2025-06-06 Junhap Bian , Tao Zhou , Yilin Bi

Cooperative behaviors are deeply embedded in structured biological and social systems. Networks are often employed to portray pairwise interactions among individuals, where network nodes represent individuals and links indicate who…

Physics and Society · Physics 2025-01-14 Jiachao Guo , Yao Meng , Aming Li

Tipping points are critical thresholds of parameters where tiny perturbations can lead to abrupt and large qualitative changes in the systems. Many real-world systems that exhibit tipping behavior can be represented as networks of…

Chaotic Dynamics · Physics 2025-09-10 Richita Ghosh , Manish Dev Shrimali

We study the evolution of networks through `triplets' - three-node graphlets. We develop a method to compute a transition matrix to describe the evolution of triplets in temporal networks. To identify the importance of higher-order…

Physics and Society · Physics 2021-08-02 Qing Yao , Bingsheng Chen , Kim Christensen , Tim S. Evans

The complexity of many biological, social and technological systems stems from the richness of the interactions among their units. Over the past decades, a great variety of complex systems has been successfully described as networks whose…

Many complex systems in science and engineering are modeled as networks whose nodes and links depict the temporal evolution of each system unit and the dynamic interaction between pairs of units, which are assessed respectively using…

Synchronization processes play critical roles in the functionality of a wide range of both natural and man-made systems. Recent work in physics and neuroscience highlights the importance of higher-order interactions between dynamical units,…

Adaptation and Self-Organizing Systems · Physics 2021-08-03 Per Sebastian Skardal , Alex Arenas

We use generating functionals to derive a dynamic mean-field description for generalised Lotka-Volterra systems with higher-order quenched random interactions. We use the resulting single effective species process to determine the stability…

Populations and Evolution · Quantitative Biology 2024-09-18 Laura Sidhom , Tobias Galla

When exposed to a contagion phenomenon, individuals may respond to the perceived risk of infection by adopting behavioral changes, aiming to reduce their exposure or their risk of infecting others. The social cost of such adaptive behaviors…

Physics and Society · Physics 2026-02-06 Marco Mancastroppa , Márton Karsai , Alain Barrat

A key challenge of nonlinear dynamics and network science is to understand how higher-order interactions influence collective dynamics. Although many studies have approached this question through linear stability analysis, less is known…

Adaptation and Self-Organizing Systems · Physics 2024-10-07 Yuanzhao Zhang , Per Sebastian Skardal , Federico Battiston , Giovanni Petri , Maxime Lucas

Stability is a desirable property of complex ecosystems. If a community of interacting species is at a stable equilibrium point then it is able to withstand small perturbations to component species' abundances without suffering adverse…

Populations and Evolution · Quantitative Biology 2022-09-13 Francesco Caravelli , Phillip Staniczenko

Synchronization is a ubiquitous phenomenon in complex systems. The Kuramoto model serves as a paradigmatic framework for understanding how coupled oscillators achieve collective rhythm. Conventional approaches focus on pairwise…

Adaptation and Self-Organizing Systems · Physics 2026-03-16 Zheng Wang , Jinjie Zhu , Xianbin Liu

Higher-order interactions are prevalent in real-world complex systems and exert unique influences on system evolution that cannot be captured by pairwise interactions. We incorporate game transitions into the higher-order prisoner's dilemma…

Adaptation and Self-Organizing Systems · Physics 2025-06-25 Yi-Duo Chen , Zhi-Xi Wu , Jian-Yue Guan
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