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In this paper I describe a cellular automaton model of a multi-species ecosystem, suitable for the study of emergent properties of macroevolution. Unlike majority of ecological models, the number of coexisting species is not fixed. Starting…

Populations and Evolution · Quantitative Biology 2009-09-23 Wojciech Borkowski

We study an individual-based predator-prey model of biological coevolution, using linear stability analysis and large-scale kinetic Monte Carlo simulations. The model exhibits approximate 1/f noise in diversity and population-size…

Populations and Evolution · Quantitative Biology 2007-06-13 Per Arne Rikvold , Volkan Sevim

We present a preliminary results of our Galactic Habitable Zone (GHZ) 2D probabilistic cellular automata models. The relevant time-scales (emergence of life, it's diversification and evolution influenced with the global risk function) are…

Astrophysics of Galaxies · Physics 2010-01-27 Branislav Vukotic , Milan M. Cirkovic

The Penna bit-string model successfully encompasses many phenomena of population evolution, including inheritance, mutation, evolution and ageing. If we consider social interactions among individuals in the Penna model, the population will…

Disordered Systems and Neural Networks · Physics 2009-11-11 Chunguang Li , Philip K. Maini

We describe pattern formation in ecological systems using a version of the classical Lotka-Volterra model characterized by a spatial scale which controls the predator-prey interaction range. Analytical and simulational results show that…

Populations and Evolution · Quantitative Biology 2016-03-02 E. Brigatti , M. Oliva , M. Núñez-López , R. Oliveros-Ramos , J. Benavides

We employ Monte Carlo simulations to study a stochastic Lotka-Volterra model on a two-dimensional square lattice with periodic boundary conditions. If the (local) prey carrying capacity is finite, there exists an extinction threshold for…

Populations and Evolution · Quantitative Biology 2016-04-20 Sheng Chen , Uwe C. Täuber

The Lotka-Volterra model is a paradigm for self-organized predator-prey oscillations in far-from-equilibrium systems, yet testing it in real-world ecosystems is hindered by uncontrollable microscopic parameters. Here, we propose a quantum…

Quantum Physics · Physics 2025-10-31 Ya-Xin Xiang , Zhengyang Bai , Yu-Qiang Ma

We propose and investigate a one-parameter probabilistic mixture of one-dimensional elementary cellular automata under the guise of a model for the dynamics of a single-species unstructured population with nonoverlapping generations in…

Statistical Mechanics · Physics 2018-03-09 J. Ricardo G. Mendonça

We study a spatial cyclic predator-prey model with an even number of species (for n=4, 6, and 8) that allows the formation of two defective alliances consisting of the even and odd label species. The species are distributed on the sites of…

Biological Physics · Physics 2008-01-21 Gyorgy Szabo , Attila Szolnoki , Gustavo Ariel Sznaider

We present a detailed study of prisoner's dilemma game with stochastic modifications on a two-dimensional lattice, in presence of evolutionary dynamics. By very nature of the rules, the cooperators have incentive to cheat and the fear to…

Statistical Mechanics · Physics 2015-05-14 M. Ali Saif , Prashant M. Gade

We propose a novel predator-prey model that integrate two ecologically significant mechanisms: the Allee effect in the prey population and cooperative hunting behavior among predators. Building upon the Rosenzweig-MacArthur framework, our…

Dynamical Systems · Mathematics 2026-01-19 Yujie Gao , Ton Viet Ta

Most mechanistic predator-prey modelling has involved either parameterization from process rate data or inverse modelling. Here, we take a median road: we aim at identifying the potential benefits of combining datasets, when both population…

Populations and Evolution · Quantitative Biology 2021-02-11 Frederic Barraquand , Olivier Gimenez

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 construct a global bifurcation diagram of the plane differential system $$ {l} \dot x = x(1-x)-x y/(a+x^2), \dot y = y(\delta-\beta y/x), x(t)>0, y(t)>0, a>0, \delta>0, \beta>0, $$ which describes the predator-prey interaction.

Dynamical Systems · Mathematics 2009-11-06 S. A. Treskov , E. P. Volokitin

Inspired by biological and cultural evolution, there have been many attempts to explore and elucidate the necessary conditions for open-endedness in artificial intelligence and artificial life. Using a continuous cellular automata called…

Neural and Evolutionary Computing · Computer Science 2023-04-13 Bert Wang-Chak Chan

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

The Prisoner's Dilemma (PD) game is used in several fields due to the emergence of cooperation among selfish players. Here, we have considered a one-dimensional lattice, where each cell represents a player, that can cooperate or defect.…

Physics and Society · Physics 2009-04-03 Marcelo Alves Pereira , Alexandre Souto Martinez

In the present study, we have modified the traditional May-Holling-Tanner predator-prey model used to represent the interaction between least weasel and field-vole population by adding an Allee effect (strong and weak) on the field-vole…

Dynamical Systems · Mathematics 2020-10-23 Claudio Arancibia-Ibarra , Jose Flores

We study the degree of success of a single predator hunting a herd of prey on a two dimensional square lattice landscape. We explicitly consider the self volume of the prey restraining their dynamics on the lattice. The movement of both…

Populations and Evolution · Quantitative Biology 2016-10-05 M. Schwarzl , A. Godec , G. Oshanin , R. Metzler

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
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