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Spatio-temporal complexity of ecological dynamics has been a major focus of research for a few decades. Pattern formation, chaos, regime shifts and long transients are frequently observed in field data but specific factors and mechanisms…

Dynamical Systems · Mathematics 2022-12-28 Pranali Roy Chowdhury , Sergei Petrovskii , Vitaly Volpert , Malay Banerjee

Using Monte Carlo simulations we study a lattice model of a prey-predator system. We show that in the three-dimensional model populations of preys and predators exhibit coherent periodic oscillations but such a behaviour is absent in…

Statistical Mechanics · Physics 2009-10-31 Adam Lipowski

Although the existence of robust inverted biomass pyramids seem paradoxical, they have been observed in planktonic communities, and more recently, in pristine coral reefs. Understanding the underlying mechanisms which produce inverted…

Populations and Evolution · Quantitative Biology 2008-11-25 Hao Wang , Wendy Morrison , Abhinav Singh , Howard Weiss

Models of many-species ecosystems, such as the Lotka-Volterra and replicator equations, suggest that these systems generically exhibit near-extinction processes, where population sizes go very close to zero for some time before rebounding,…

Statistical Mechanics · Physics 2023-03-15 Thibaut Arnoulx de Pirey , Guy Bunin

We explore aspects of the community structures generated by a simple predator-prey model of biological coevolution, using large-scale kinetic Monte Carlo simulations. The model accounts for interspecies and intraspecies competition for…

Populations and Evolution · Quantitative Biology 2010-02-18 Per Arne Rikvold

This paper presents an integrated modelling assessment that estimated the sensitivities of five endogenous factors in commercial rangelands, i.e. number of active farmers, profits, stocking rate, standing herbage biomass, and soil erosion,…

We first present a predator-prey model for two species and then extend the model to three species where the two predator species engage in mutualistic predation. Constant effort harvesting and the impact of by-catch issue are also…

Dynamical Systems · Mathematics 2020-09-03 Mohammad M. Amirian , I. N. Towers , Z. Jovanoski , Andrew J. Irwin

Standard models of population dynamics focus on the the interaction, survival, and extinction of the competing species individually. Real ecological systems, however, are characterized by an abundance of species (or strategies, in the…

Populations and Evolution · Quantitative Biology 2014-05-27 Alexander Dobrinevski , Mikko Alava , Tobias Reichenbach , Erwin Frey

Coexistence of plants depends on their competition for common resources and indirect interactions mediated by shared exploiters or mutualists. These interactions are driven either by changes in animal abundance (density-mediated…

Populations and Evolution · Quantitative Biology 2019-08-12 Vlastimil Křivan , Tomás A. Revilla

We present a multivariate hierarchical space-time model to describe the joint series of monthly extreme temperatures and amounts of rainfall. Data are available for 360 monitoring stations over 60 years, with missing data affecting almost…

In this monograph, we introduce a new model in population dynamics that describes two species sharing the same environmental resources in a situation of open hostility. The interactions among these populations are described not in terms of…

Analysis of PDEs · Mathematics 2024-07-30 Elisa Affili , Serena Dipierro , Luca Rossi , Enrico Valdinoci

In ecology, prey switching refers to a predator's adaptive change of habitat or diet in response to prey abundance. In this paper, we study piecewise-smooth models of predator-prey interactions with a linear trade-off in a predator's prey…

Populations and Evolution · Quantitative Biology 2016-10-26 S. H. Piltz , M. A. Porter , P. K. Maini

The decline in ecological connections signifies the potential extinction of species, which can be attributed to disruptions and alterations. The decrease in interconnections among species reflects their susceptibility to changes. For…

Populations and Evolution · Quantitative Biology 2023-10-10 Ali Bayat , Mohammad Heydari , Amir Albadvi

In this work, we investigate the system of three species ecological model involving one predator-prey subsystem coupling with a generalist predator with negative effect on the prey. Without diffusive terms, all global dynamics of its…

Dynamical Systems · Mathematics 2020-04-28 Fanfan Li , Zhenlai Han , Ting-Hui Yang

Biological and social systems are structured at multiple scales, and the incentives of individuals who interact in a group may diverge from the collective incentive of the group as a whole. Mechanisms to resolve this tension are responsible…

Populations and Evolution · Quantitative Biology 2023-05-31 Daniel B. Cooney , Simon A. Levin , Yoichiro Mori , Joshua B. Plotkin

Ecosystems can undergo sudden shifts to undesirable states, but recent studies with simple single species ecosystems have demonstrated that advance warning can be provided by the slowing down of population dynamics near a tipping point.…

Populations and Evolution · Quantitative Biology 2015-06-16 Andrew Chen , Alvaro Sanchez , Lei Dai , Jeff Gore

Sustainability of ecosystems & ecosystem management are increasingly accepted societal goals. Can conservation programs be improved by incorporating local people's understanding of ecosystems? The Kizilirmak Delta is one of Turkey's most…

Neurons and Cognition · Quantitative Biology 2007-05-23 Uygar Ozesmi

The model of competition between densities of two different species, called predator and prey, is studied on a one dimensional periodic lattice, where each site can be in one of the four states say, empty, or occupied by a single predator,…

Statistical Mechanics · Physics 2011-06-02 Rakesh Chatterjee , P. K. Mohanty , Abhik Basu

Wildlife and human activities are key components of landscape systems. Understanding their spatial distribution is essential for evaluating human wildlife interactions and informing effective conservation planning. Multiperspective…

Computer Vision and Pattern Recognition · Computer Science 2025-08-22 Hao Chen , Fang Qiu , Li An , Douglas Stow , Eve Bohnett , Haitao Lyu , Shuang Tian

We introduce a new model for large scale evolution and extinction in which species are organized into food chains. The system evolves by two processes: origination/speciation and extinction. In the model, extinction of a given species can…

Statistical Mechanics · Physics 2007-05-23 Luis A. N. Amaral , Martin Meyer
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