Quasicycles in a spatial predator-prey model.
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[1] U. Täuber,et al. Phase Transitions and Spatio-Temporal Fluctuations in Stochastic Lattice Lotka–Volterra Models , 2005, q-bio/0512039.
[2] Sancho,et al. From lattice-gas models to nonlinear diffusion models: A derivation of macroscopic equations and fluctuations. , 1990, Physical review. A, Atomic, molecular, and optical physics.
[3] Simon A. Levin,et al. Mathematical Ecology: An Introduction , 1986 .
[4] Frederic Bartumeus,et al. MUTUAL INTERFERENCE BETWEEN PREDATORS CAN GIVE RISE TO TURING SPATIAL PATTERNS , 2002 .
[5] A J McKane,et al. Predator-prey cycles from resonant amplification of demographic stochasticity. , 2005, Physical review letters.
[6] Frank Schweitzer,et al. Brownian Agents and Active Particles: Collective Dynamics in the Natural and Social Sciences , 2003 .
[7] M. Pascual,et al. Stochastic amplification in epidemics , 2007, Journal of The Royal Society Interface.
[8] T. Antal,et al. Critical behavior of a lattice prey-predator model. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.
[9] 明 大久保,et al. Diffusion and ecological problems : mathematical models , 1980 .
[10] D. Gillespie. A General Method for Numerically Simulating the Stochastic Time Evolution of Coupled Chemical Reactions , 1976 .
[11] A. Turing. The chemical basis of morphogenesis , 1952, Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences.
[12] T. Antal,et al. Phase transitions and oscillations in a lattice prey-predator model. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.
[13] Steven R. Dunbar,et al. Travelling wave solutions of diffusive Lotka-Volterra equations , 1983 .
[14] H. Risken,et al. The Fokker-Planck Equation: Methods of Solution and Application, 2nd ed. , 1991 .
[15] T. Tomé,et al. Reaction-Diffusion Stochastic Lattice Model for a Predator-Prey System , 2008 .
[16] J. L. Jackson,et al. Dissipative structure: an explanation and an ecological example. , 1972, Journal of theoretical biology.
[17] N. Rashevsky,et al. Mathematical biology , 1961, Connecticut medicine.
[18] N. Kampen,et al. Stochastic processes in physics and chemistry , 1981 .
[19] W. Ebeling. Stochastic Processes in Physics and Chemistry , 1995 .
[20] F. Rothe. Convergence to the equilibrium state in the Volterra-Lotka diffusion equations , 1976, Journal of mathematical biology.
[21] C. Gardiner. Handbook of Stochastic Methods , 1983 .
[22] R. Veit,et al. Partial Differential Equations in Ecology: Spatial Interactions and Population Dynamics , 1994 .
[23] J. Jorné,et al. The diffusive Lotka-Volterra oscillating system. , 1977, Journal of theoretical biology.
[24] Mercedes Pascual,et al. Diffusion-induced chaos in a spatial predator–prey system , 1993, Proceedings of the Royal Society of London. Series B: Biological Sciences.
[25] Otso Ovaskainen,et al. Space and stochasticity in population dynamics , 2006, Proceedings of the National Academy of Sciences.
[26] A. McKane,et al. Amplified Biochemical Oscillations in Cellular Systems , 2006, q-bio/0604001.
[27] V. Grimm. Ten years of individual-based modelling in ecology: what have we learned and what could we learn in the future? , 1999 .
[28] W. Wilson,et al. Spatial Instabilities within the Diffusive Lotka-Volterra System: Individual-Based Simulation Results , 1993 .
[29] S. Goldhor. Ecology , 1964, The Yale Journal of Biology and Medicine.
[30] Javier E. Satulovsky. Lattice Lotka–Volterra Models and Negative Cross-diffusion , 1996 .
[31] Andrzej Pekalski,et al. A short guide to predator-prey lattice models , 2004, Computing in Science & Engineering.
[32] S. Sharma,et al. The Fokker-Planck Equation , 2010 .
[33] W. Gurney,et al. Modelling fluctuating populations , 1982 .
[34] A J McKane,et al. Stochastic models in population biology and their deterministic analogs. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.