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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…

种群与进化 · 定量生物学 2023-03-07 Zhijie Feng , Robert Marsland , Jason W. Rocks , Pankaj Mehta

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…

种群与进化 · 定量生物学 2013-08-19 Serguei Saavedra , Rudolf P. Rohr , Vasilis Dakos , Jordi Bascompte

We explore the complex dynamical behavior of two simple predator-prey models of biological coevolution that on the ecological level account for interspecific and intraspecific competition, as well as adaptive foraging behavior. The…

种群与进化 · 定量生物学 2009-11-28 Per Arne Rikvold

We consider a stochastic individual based model where each predator searches during a random time and then manipulates its prey or rests. The time distributions may be non-exponential. An age structure allows to describe these interactions…

动力系统 · 数学 2021-03-31 Vincent Bansaye , Bertand Cloez

This paper will introduce a theory of emergent animal social complexity using various results from computational models and empirical results. These results will be organized into a vertical model of social complexity. This will support the…

种群与进化 · 定量生物学 2013-10-18 Bradly Alicea

Cyclic dominant systems, like rock-paper-scissors game, are frequently used to explain biodiversity in nature, where mobility, reproduction and intransitive competition are on stage to provide the coexistence of competitors. A significantly…

种群与进化 · 定量生物学 2019-01-08 D. Bazeia , B. F. de Oliveira , A. Szolnoki

Ecology and evolution are inherently linked, and studying a mathematical model that considers both holds promise of insightful discoveries related to the dynamics of cooperation. In the present article, we use the prisoner's dilemma (PD)…

种群与进化 · 定量生物学 2021-08-10 Sayantan Nag Chowdhury , Srilena Kundu , Jeet Banerjee , Matjaž Perc , Dibakar Ghosh

Environmental heterogeneity is a determining factor of the structure of biological communities. Thus, understanding the distribution of species along environmental gradients provides assistance to conservation. The goal of this study was to…

种群与进化 · 定量生物学 2021-05-24 Eliana Celestino da Paixao do Rodrigues dos Santos

Multispecies ecosystems modelled by generalized Lotka-Volterra equations exhibit stationary population abundances, where large number of species often coexist. Understanding the precise conditions under which this is at all feasible and…

种群与进化 · 定量生物学 2026-05-19 Philippe Jacquod

The connection between active perception and the limits of performance provide a path to understanding naturalistic behavior. We can take a comparative cognitive modeling perspective to understand the limits of this performance and the…

神经元与认知 · 定量生物学 2023-07-04 Bradly Alicea

We propose a model of evolutionary snowdrift game with $N$-person interactions and study the effects of multi-person interactions on the emergence of cooperation. An exact $N$-th-order equation for the equilibrium density of cooperators…

生物物理 · 物理学 2009-11-13 D. F. Zheng , H. P. Yin , C. H. Chan , P. M. Hui

Feedbacks between strategies and the environment are common in social-ecological, evolutionary-ecological, and even psychological-economic systems. Utilizing common resources is always a dilemma for community members, like tragedy of the…

动力系统 · 数学 2023-01-11 Longmei Shu , Feng Fu

We introduce a new interacting particle system intended to model an example of ecological succession involving two species: the bracken and the european beech. The objective is to exhibit phase transitions by proving that there exist three…

概率论 · 数学 2007-05-23 Nicolas Lanchier

Endangered populations often experience limited growth ability at low densities, a phenomenon described by the Allee effect. In this thesis, we investigate a predator-prey model incorporating the Allee effect within a two-dimensional…

种群与进化 · 定量生物学 2025-12-15 Junhui Hu

We employ partial integro-differential equations to model trophic interaction in a spatially extended heterogeneous environment. Compared to classical reaction-diffusion models, this framework allows us to more realistically describe the…

种群与进化 · 定量生物学 2019-03-06 Jozsef Z. Farkas , Andrew Yu Morozov , E. G. Arashkevich , A. Nikishina

Understanding the assembly of ecosystems to estimate the number of species at different spatial scales is a challenging problem. Until now, maximum entropy approaches have lacked the important feature of considering space in an explicit…

种群与进化 · 定量生物学 2014-07-10 Matteo Adorisio , Jacopo Grilli , Samir Suweis , Sandro Azaele , Jayanth R. Banavar , Amos Maritan

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…

种群与进化 · 定量生物学 2024-01-09 Thibaut Arnoulx de Pirey , Guy Bunin

We consider a nonautonomous eco-epidemiological model with general functions for predation on infected and uninfected preys as well as general functions associated to the vital dynamics of the susceptible prey and predator populations. We…

动力系统 · 数学 2021-07-01 Lopo F. de Jesus , César M. Silva , Helder Vilarinho

We study a mathematical model inspired by a common scenario in northern Patagonia consisting of humans and their livestock living together with native wildlife. The main production system in this area is sheep farming, which due to wrong…

种群与进化 · 定量生物学 2019-02-01 Y. C. Daza C. , M. F. Laguna , J. A. Monjeau , G. Abramson

Biodiversity is declining at alarming rates worldwide, including for large wild mammals. It is therefore imperative to develop effective population conservation and recovery strategies. Population dynamics models can provide insights into…