Evolutionary games on graphs

G Szabó, G Fath - Physics reports, 2007 - Elsevier
Game theory is one of the key paradigms behind many scientific disciplines from biology to
behavioral sciences to economics. In its evolutionary form and especially when the …

Stochastic population dynamics in spatially extended predator–prey systems

U Dobramysl, M Mobilia, M Pleimling… - Journal of Physics A …, 2018 - iopscience.iop.org
Spatially extended population dynamics models that incorporate demographic noise serve
as case studies for the crucial role of fluctuations and correlations in biological systems …

[引用][C] Biological Invasions: Theory and Practice

N Shigesada - 1997 - books.google.com
This book deals with the ecological effect a species can have when it moves into an
environment that it has not previously occupied (commonly referred to as an'Invasion'). It is …

Nonequilibrium phase transitions in lattice models

J Marro, R Dickman - Nonequilibrium Phase Transitions in …, 2005 - ui.adsabs.harvard.edu
Nonequilibrium Phase Transitions in Lattice Models - NASA/ADS Now on home page ads icon
ads Enable full ADS view NASA/ADS Nonequilibrium Phase Transitions in Lattice Models …

Games on graphs

B Allen, MA Nowak - EMS surveys in mathematical sciences, 2014 - ems.press
Evolution occurs in populations of reproducing individuals. The trajectories and outcomes of
evolutionary processes depend on the structure of the population. Evolutionary graph theory …

Pathogen invasion and host extinction in lattice structured populations

K Satō, H Matsuda, A Sasaki - Journal of mathematical biology, 1994 - Springer
We examined the propagation of an infectious disease and the eventual extinction of the
host population in a lattice-structured population. Both the host colonization and pathogen …

Stochastic lattice gas model for a predator-prey system

JE Satulovsky, T Tomé - Physical Review E, 1994 - APS
We propose a stochastic lattice gas model to describe the dynamics of two animal species
populations, one being a predator and the other a prey. This model comprehends the …

Lattice population dynamics for plants with dispersing seeds and vegetative propagation

Y Harada, Y Iwasa - Researches on Population Ecology, 1994 - Springer
The population dynamics of plants in a lattice structured habitat are studied theoretically.
Plants are assumed to propagate both by producing seeds that scatter over the population …

Spatial organization in cyclic Lotka-Volterra systems

L Frachebourg, PL Krapivsky, E Ben-Naim - Physical Review E, 1996 - APS
We study the evolution of a system of N interacting species which mimics the dynamics of a
cyclic food chain. On a one-dimensional lattice with N< 5 species, spatial inhomogeneities …

Stationary pattern of vortices or strings in biological systems: lattice version of the Lotka-Volterra model

K Tainaka - Physical Review Letters, 1989 - APS
By stochastic simulation, we investigate the spatial pattern in the biological system
composed of three competing species. Topological defects are introduced to explain the …