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Related papers: Effects of rapid prey evolution on predator-prey c…

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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

In this paper we explore the eco-evolutionary dynamics of a predator-prey model, where the prey population is structured according to a certain life history trait. The trait distribution within the prey population is the result of interplay…

Populations and Evolution · Quantitative Biology 2019-03-27 József Z. Farkas , A. Yu. Morozov

We consider the properties of a slow-fast prey-predator system in time and space. We first argue that the simplicity of prey-predator system is apparent rather than real and there are still many of its hidden properties that have been…

Dynamical Systems · Mathematics 2021-07-29 Pranali Roy Chowdhury , Sergei Petrovskii , Malay Banerjee

In the last years, predator-prey systems have increased their applications and have given rise to systems which represent more accurately different biological issues that appear in the context of interacting species. Our aim in this paper…

Dynamical Systems · Mathematics 2025-01-29 Érika Diz-Pita , M. Victoria Otero-Espinar

We consider adaptive change of diet of a predator population that switches its feeding between two prey populations. We develop a novel 1 fast--3 slow dynamical system to describe the dynamics of the three populations amidst continuous but…

Dynamical Systems · Mathematics 2017-01-24 Sofia H. Piltz , Frits Veerman , Philip K. Maini , Mason A. Porter

We develop a theory of generalist predation showing how alternative prey species are affected by changes in both mean abundance and variability (coefficient of variation) of their predator's primary prey. The theory is motivated by the…

Populations and Evolution · Quantitative Biology 2014-05-13 Frederic Barraquand , Leslie F. New , Stephen Redpath , Jason Matthiopoulos

The population dynamics of predator-prey systems in the presence of patch-specific predators are explored in a setting where the prey population has access to both habitats. The emphasis is in situations where patch-prey abundance drives…

Dynamical Systems · Mathematics 2009-07-31 F. Berezovskaya , S. Wirkus , C. Castillo-Chavez

There are various examples of phenotypic plasticity in ecosystems that serve as the basis for a wide range of inducible defences against predation. These strategies include camouflage, burrowing, mimicry, evasive actions, and even…

Populations and Evolution · Quantitative Biology 2025-01-06 Sangeeta Saha , Swadesh Pal , Roderick Melnik

We study the effect of speciation, i.e. the introduction of new species through evolution into communities, in the setting of predator-prey systems. Predator-prey dynamics is classically well modeled by Lotka-Volterra equations, also when…

Populations and Evolution · Quantitative Biology 2025-03-20 Christian Hamster , Jorik Schaap , Peter van Heijster , Joshua Dijksman

Drawing on the understanding of the logistic map, we propose a simple predator-prey model where predators and prey adapt to each other, leading to the co-evolution of the system. The special dynamics observed in periodic windows contribute…

Populations and Evolution · Quantitative Biology 2024-10-03 Misha Chai , Holger Kantz

A generalized seasonally-varying predator-prey model with Allee effect in the prey growth is investigated. The analysis is performed only on the basis of some properties determining the shape of the prey growth rate and the trophic…

Dynamical Systems · Mathematics 2019-09-06 Carlota Rebelo , Cinzia Soresina

In this investigation we study the effects of climate change on predator-prey population dynamics. The interaction of predator and prey is described by the Variable Territory (VT) model with Allee effects in an Ordinary Differential…

Populations and Evolution · Quantitative Biology 2018-05-31 Sylvain Gretchko , Jessa Marley , Rebecca C. Tyson

Character evolution that affects ecological community interactions often occurs contemporaneously with temporal changes in population size, potentially altering the very nature of those dynamics. Such eco-evolutionary processes may be most…

Populations and Evolution · Quantitative Biology 2012-06-12 Laura E. Jones , Lutz Becks , Stephen P. Ellner , Nelson G. Hairston , Takehito Yoshida , Gregor F. Fussmann

We study the adaptive dynamics of predator-prey systems modeled by a dynamical system in which the traits of predators and prey are allowed to evolve by small mutations. When only the prey are allowed to evolve, and the size of the…

Probability · Mathematics 2015-03-13 Rick Durrett , John Mayberry

Dynamic exploration for a predator-prey bio-system of two species with ratio-dependent functional response is carried out, where the capability to predate in both the stages of the predator, the juvenile and the matured, is taken into…

Populations and Evolution · Quantitative Biology 2022-12-27 Debasish Bhattacharjee , Tapasvini Roy , Santanu Acharjee , Tarini Kumar Dutta

Predation driven Allee effects play an important role in the dynamics of small population, however, such predation-driven Allee effects cannot occur for the model with type I functional response. It generally occurs when a generalist…

Populations and Evolution · Quantitative Biology 2021-01-27 Sourav Kumar Sasmal , Yasuhiro Takeuchi

Predators often consume multiple prey and by mutually subsidizing a shared predator, the prey may reciprocally harm each other. When predation levels are high, this apparent competition can culminate in a prey species being displaced.…

Populations and Evolution · Quantitative Biology 2019-02-12 Sebastian J. Schreiber , Swati Patel

Simulation of population dynamics is a central research theme in computational biology, which contributes to understanding the interactions between predators and preys. Conventional mathematical tools of this theme, however, are incapable…

Multiagent Systems · Computer Science 2020-02-11 Jun Yamada , John Shawe-Taylor , Zafeirios Fountas

When faced with an imminent risk of predation, many animals react to escape consumption. Antipredator strategies are performed by individuals acting as a group to intimidate predators and minimize the damage when attacked. We study the…

Populations and Evolution · Quantitative Biology 2021-06-02 J. Menezes

We develop a mathematical model of extinction and coexistence in a generic predator-prey ecosystem composed of two herbivores in asymmetrical competition and a hunter exerting a predatory pressure on both species. With the aim of…

Adaptation and Self-Organizing Systems · Physics 2017-08-28 Marcelo N Kuperman , Fabiana Laguna , Guillermo Abramson , Adrian Monjeau. Jose Luis Lanata
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