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Related papers: Predator-prey models: a review on some recent adap…

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Eco-evolutionary frameworks can explain certain features of communities in which ecological and evolutionary processes occur over comparable timescales. Here, we investigate whether an evolutionary dynamics may interact with the spatial…

Populations and Evolution · Quantitative Biology 2019-12-04 Eduardo H. Colombo , Ricardo Martínez-García , Cristóbal , López , Emilio Hernández-García

We construct two ordinary-differential-equation models of a predator feeding adaptively on two prey types, and we evaluate the models' ability to fit data on freshwater plankton. We model the predator's switch from one prey to the other in…

Dynamical Systems · Mathematics 2018-09-19 Sofia H. Piltz , Lauri Harhanen , Mason A. Porter , Philip K. Maini

Switching model with one predator and two prey species is considered. The prey species have the ability of group defence. Therefore, the predator will be attracted towards that habitat where prey are less in number. The stability analysis…

Biological Physics · Physics 2015-06-26 Qamar J. A. Khan , Bal Swaroop Bhatt , R. P. Jaju

The historical origins of the game theoretic predator-prey pursuit problem can be traced back to Benda, et al., 1985 [1]. Their work adapted the predator-prey ecology problem into a pursuit environment which focused on the dynamics of…

Multiagent Systems · Computer Science 2019-09-13 Derrik E. Asher , Erin Zaroukian , Sean L. Barton

In this study, we investigate the dynamics of a spatial and non spatial prey-predator interaction model that includes the following: (i) fear effect incorporated in prey birth rate; (ii) group defence of prey against predators; and (iii)…

Populations and Evolution · Quantitative Biology 2023-11-07 Shivam Yadav , Jai Prakash Tripathi , Shrichand Bhuria , Satish Kumar Tiwari , Deepak Tripathi , Vandana Tiwari , Ranjit Kumar Upadhyay , Yun Kang

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

We study a mathematical model of environments populated by both preys and predators, with the possibility for predators to actively compete for the territory. For this model we study existence and uniqueness of solutions, and their…

Analysis of PDEs · Mathematics 2022-12-06 Henri Berestycki , Alessandro Zilio

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

Mimicry is a resemblance between species that benefits at least one of the species. It is a ubiquitous evolutionary phenomenon particularly common among prey species, in which case the advantage involves better protection from predation. We…

Populations and Evolution · Quantitative Biology 2011-08-09 Alexey Mikaberidze , Masudul Haque

Current evolutionary theory suggests that many natural signaling systems evolved from preexisting cues. In aposematic systems, prey warning signals benefit both predator and prey. When the signal is highly beneficial, a third species often…

Populations and Evolution · Quantitative Biology 2014-06-04 Kenna D. S. Lehmann , Brian W. Goldman , Ian Dworkin , David M. Bryson , Aaron P. Wagner

In this article, we have considered a planar slow-fast modified Leslie-Gower predator-prey model with a weak Allee effect in the predator, based on the natural assumption that the prey reproduces far more quickly than the predator. We…

Populations and Evolution · Quantitative Biology 2023-06-26 Tapan Saha , Pallav Jyoti Pal

This article adopts game theory to build a model for explaining the predation behavior of animals.We assume that both the prey and the preydator have two stratigies in this game,the active one and the passive one.By calculating the outcome…

Populations and Evolution · Quantitative Biology 2007-05-23 Shi Chen , Sheng Bao , Ling Yan , Cheng Huang

The survival chance of a prey chased by a predator depends not only on their relative speeds but importantly also on the local environment they have to face. For example, a wolf chasing a deer might take a long time to cross a river which…

Soft Condensed Matter · Physics 2021-03-23 Fabian Jan Schwarzendahl , Hartmut Löwen

This work investigates how a predator-prey scenario can induce the emergence of Open-Ended Evolution (OEE). We utilize modular robots of fixed morphologies whose controllers are subject to evolution. In both species, robots can send and…

Robotics · Computer Science 2025-06-18 Dimitri Kachler , Karine Miras

Mathematical modelling and numerical simulations of interaction populations are crucial topics in systems biology. The interactions of ecological models may occur among individuals of the same species or individuals of different species.…

Quantitative Methods · Quantitative Biology 2017-09-04 Sarbaz H. A. Khoshnaw

We analyse a modified Holling-Tanner predator-prey model where the predation functional response is of Holling type II and we incorporate a strong Allee effect associated with the prey species production. The analysis complements results of…

Dynamical Systems · Mathematics 2019-10-23 Claudio Arancibia-Ibarra , Jose D. Flores , Graeme J. Pettet , Peter van Heijster

This paper dwells on certain novel game-theoretic investigations in bio-mimicry, discussed from the perspectives of information asymmetry, individual utility and its optimization via strategic interactions involving co-evolving preys (e.g.,…

Populations and Evolution · Quantitative Biology 2021-04-28 Inavamsi Enaganti , Bud Mishra

In models for the evolution of predation from initially purely competitive species interactions, the propensity of predation is most often assumed to be a direct consequence of the relative morphological and physiological traits of…

Populations and Evolution · Quantitative Biology 2023-07-11 Yaroslav Ispolatov , Carlos Doebeli , Michael Doebeli

We prove estimates for the maximal and minimal predator and prey populations on the unique limit cycle in a standard predator-prey system. Our estimates are valid when the cycle exhibits small predator and prey abundances and large…

Dynamical Systems · Mathematics 2023-11-29 Niklas L. P. Lundström , Gunnar J. Söderbacka

In this manuscript, we study a Leslie-Gower predator-prey model with a hyperbolic functional response and weak Allee effect. The results reveal that the model supports coexistence and oscillation of both predator and prey populations. We…

Dynamical Systems · Mathematics 2021-12-30 Claudio Arancibia-Ibarra , José Flores , Peter van Heijster