Stochastic Spatial Models
From MaRDI portal
Publication:4699118
DOI10.1137/S0036144599354707zbMath0940.60086WikidataQ107968171 ScholiaQ107968171MaRDI QIDQ4699118
Publication date: 23 November 1999
Published in: SIAM Review (Search for Journal in Brave)
reaction-diffusion equationsepidemicscontact processpredator-prey systemevolutionary gamesinteracting particle systemstepping stone model
Epidemiology (92D30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Population dynamics (general) (92D25) Ecology (92D40)
Related Items
A model of spatial epidemic spread when individuals move within overlapping home ranges, Discreteness induced extinction, Stationary distribution and extinction of a stochastic SIRS epidemic model with standard incidence, How range residency and long-range perception change encounter rates, Stochastic dynamics of an SEIS epidemic model, Convergence of Markov processes near saddle fixed points, Sustainability of dioecious and hermaphrodite populations on a lattice, Noise regularization and computations for the 1-dimensional stochastic Allen-Cahn problem, Stochastic exponential integrators for a finite element discretisation of SPDEs with additive noise, Dynamics of a stochastic tuberculosis model with antibiotic resistance, Stationary distribution and extinction of a stochastic SEIR epidemic model with standard incidence, Boundary effects on population dynamics in stochastic lattice Lotka-Volterra models, Pair-edge approximation for heterogeneous lattice population models, Phase transitions and spatio-temporal fluctuations in stochastic lattice Lotka-Volterra models, Neutral community theory: How stochasticity and dispersal-limitation can explain species coexistence, Periodic traveling waves in SIRS endemic models, Generic two-phase coexistence and nonequilibrium criticality in a lattice version of Schlögl's second model for autocatalysis, Spatial epidemics: Critical behavior in one dimension, Overview: PCA Models and Issues, Percolation Operators and Related Models, The dynamics and application of a stochastic delayed SIS epidemic model with vaccination, Periodic solution of the DS-I-A epidemic model with stochastic perturbations, Convergence results for contact branching processes, Extinction threshold in the spatial stochastic logistic model: space homogeneous case, Scale-dependence of resource-biodiversity relationships, Stationary distribution and extinction of a stochastic cattle brucellosis model, Spread of two linked social norms on complex interaction networks, Perturbative field-theoretical analysis of three-species cyclic predator-prey models, Fixation probability in evolutionary dynamics on switching temporal networks, Finding analytical approximations for discrete, stochastic, individual-based models of ecology, Food encounter rates of simulated termite tunnels with variable food size/distribution pattern and tunnel branch length, Stochastic population dynamics in spatially extended predator–prey systems, Discrete stochastic modeling for epidemics in networks, Schloegl's second model for autocatalysis on a cubic lattice: mean-field-type discrete reaction-diffusion equation analysis, Direct reciprocity on graphs, The evolution of gynodioecy on a lattice, A stochastic SIRS epidemic model with nonlinear incidence rate, A stochastic spatial dynamical model for Aedes aegypti, Persistent homology and the shape of evolutionary games, Stationary distribution and extinction of the DS-I-A model disease with periodic parameter function and Markovian switching, A stochastic SIRS epidemic model with infectious force under intervention strategies, Discrete and data packet delays as determinants of switching stability in wireless sensor networks, Survival and complete convergence for a spatial branching system with local regulation, The Limiting Behaviour of Hanski's Incidence Function Metapopulation Model, EVOLUTION OF COOPERATION IN A SPATIAL PRISONER'S DILEMMA, Evolutionary game dynamics, The threshold of a deterministic and a stochastic SIQS epidemic model with varying total population size, Spatial Aspects of HIV Infection, Network theory and SARS: predicting outbreak diversity, Density-profile processes describing biological signaling networks: Almost sure convergence to deterministic trajectories, Contagion dynamics in complex networks, GEOGRAPHICAL EFFECTS ON EPIDEMIC SPREADING IN SCALE-FREE NETWORKS, Contact network epidemiology: Bond percolation applied to infectious disease prediction and control, Dynamics of a stochastic staged progression model of HIV transmission with a hybrid switch, On persistence and stability of some spatially inhomogeneous systems, Percolation on heterogeneous networks as a model for epidemics
