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The networks of predator-prey interactions in ecological systems are remarkably complex, but nevertheless surprisingly stable in terms of long term persistence of the system as a whole. In order to understand the mechanism driving the…

Populations and Evolution · Quantitative Biology 2015-06-05 Korinna T. Allhoff , Daniel Ritterskamp , Björn C. Rall , Barbara Drossel , Christian Guill

The evolution and distribution of species body sizes for terrestrial mammals is well-explained by a macroevolutionary tradeoff between short-term selective advantages and long-term extinction risks from increased species body size,…

Populations and Evolution · Quantitative Biology 2013-01-14 Aaron Clauset

Energy flow through consumer-resource interactions is largely determined by body size. Allometric relationships govern the dynamics of populations by impacting rates of reproduction, as well as alternative sources of mortality, which have…

Populations and Evolution · Quantitative Biology 2023-08-28 Taran Rallings , Christopher P. Kempes , Justin D. Yeakel

We investigate a tritrophic system in which organisms' energy depletion, resulting from failed selection attempts, leads to a partial loss of capacity to win the cyclic spatial game. The energy required to maintain optimal organism fitness…

Populations and Evolution · Quantitative Biology 2024-06-05 J. Menezes , E. Rangel

We study the spatial rock-paper-scissors model, where resource competitors' cyclic dominance impacts organisms' energy levels. Our model assumes that failed selection interactions can lead to energy loss, reducing the chances of success in…

Populations and Evolution · Quantitative Biology 2023-06-06 J. Menezes , E. Rangel

Ecosystems are commonly organized into trophic levels -- organisms that occupy the same level in a food chain (e.g., plants, herbivores, carnivores). A fundamental question in theoretical ecology is how the interplay between trophic…

Populations and Evolution · Quantitative Biology 2023-03-07 Zhijie Feng , Robert Marsland , Jason W. Rocks , Pankaj Mehta

The distributions of species lifetimes and species in space are related, since species with good local survival chances have more time to colonize new habitats and species inhabiting large areas have higher chances to survive local…

Populations and Evolution · Quantitative Biology 2019-02-18 Tobias Rogge , David Jones , Barbara Drossel , Korinna T. Allhoff

We study a mechanistic mathematical model of extinction and coexistence in a generic hunter-prey ecosystem. The model represents typical scenarios of human invasion and environmental change, characteristic of the late Pleistocene,…

Populations and Evolution · Quantitative Biology 2016-08-08 Guillermo Abramson , María F. Laguna , Marcelo N. Kuperman , Adrián Monjeau , José L. Lanata

The role of species interactions in controlling the interplay between the stability of an ecosystem and its biodiversity is still not well understood. The ability of ecological communities to recover after a small perturbation of the…

Populations and Evolution · Quantitative Biology 2016-06-15 Jacopo Grilli , Matteo Adorisio , Samir Suweis , György Barabás , Jayanth R. Banavar , Stefano Allesina , Amos Maritan

Ecological systems are complex dynamical systems. Modelling efforts on ecosystems' dynamical stability have revealed that population dynamics, being highly nonlinear, can be governed by complex fluctuations. Indeed, experimental and field…

Dynamical Systems · Mathematics 2020-02-19 Lluís Alsedà , José Tomás Lázaro , Ricard Solé , Blai Vidiella , Josep Sardanyés

Carnivores interact with herbivores to indirectly impact plant populations, creating trophic cascades within plant-herbivore-carnivore systems. We developed and analyzed a food chain model to gain a mechanistic understanding of the critical…

Populations and Evolution · Quantitative Biology 2024-08-12 Mozzamil Mohammed , Mohammed AY Mohammed , Abdallah Alsammani , Mohamed Bakheet , Cang Hui , Pietro Landi

Due to the conventional distinction between ecological (rapid) and evolutionary (slow)timescales, ecological and population models to date have typically ignored the effects of evolution. Yet the potential for rapid evolutionary change has…

Populations and Evolution · Quantitative Biology 2012-11-20 Laura E. Jones , Stephen P. Ellner

Complex systems with nonreciprocal interactions are often stratified into layers. Ecosystems are a prime example, where species at one trophic level grow by consuming those at another. Yet the dynamical consequences of such stratified…

Populations and Evolution · Quantitative Biology 2026-01-21 Rukmani Ramachandran , Akshit Goyal

Microbial adaptation to extreme stress, such as starvation, antimicrobial exposure, or freezing often reveals fundamental trade-offs between survival and proliferation. Understanding how populations navigate these trade-offs in fluctuating…

Populations and Evolution · Quantitative Biology 2026-05-12 Nandita Chaturvedi , Charuhansini Tvishamayi , Shashi Thutupalli

Mathematical modelling of the evolution of the size-spectrum dynamics in aquatic ecosystems was discovered to be a powerful tool to have a deeper insight into impacts of human- and environmental driven changes on the marine ecosystem. In…

Analysis of PDEs · Mathematics 2024-01-02 Laura Kanzler , Benoit Perthame , Benoit Sarels

Body size or mass is one of the main factors underlying food webs structure. A large number of evolutionary models have shown that indeed, the adaptive evolution of body size (or mass) can give rise to hierarchically organised trophic…

Populations and Evolution · Quantitative Biology 2021-08-27 Coralie Fritsch , Sylvain Billiard , Nicolas Champagnat

Ecological systems show a variety of characteristic patterns of biodiversity in space and time. It is a challenge for theory to find models that can reproduce and explain the observed patterns. Since the advent of island biogeography these…

Populations and Evolution · Quantitative Biology 2019-10-21 Michaela Hamm , Barbara Drossel

Species interactions shape predator-prey networks, impacting community structure and, potentially, ecological dynamics. It is likely that global climatic perturbations that occur over long periods of time have a significant impact on…

Populations and Evolution · Quantitative Biology 2015-03-13 Justin D. Yeakel , Paulo R. Guimaraes , Herve Bocherens , Paul L. Koch

Studies of transient dynamics captures the time history of any dramatic changes in the dynamics of a system. The transient dynamics is investigated here in a classic ecological model of a bistable tri-trophic food chain. All the species in…

Populations and Evolution · Quantitative Biology 2023-04-26 Debarghya Pattanayak , Arindam Mishra , Syamal K. Dana , Nandadulal Bairagi

Speciation is driven by many different factors. Among those are trade-offs between different ways an organism utilizes resources, and these trade-offs can constrain the manner in which selection can optimize traits. Limited migration among…

Populations and Evolution · Quantitative Biology 2014-08-12 Bjørn Østman , Randall Lin , Christoph Adami
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