Spatio-temporal models for plant epidemics: analytical and simulation studies
暂无分享,去创建一个
[1] Christopher A. Gilligan,et al. A test of heterogeneous mixing as a mechanism for ecological persistence in a disturbed environment , 1997, Proceedings of the Royal Society of London. Series B: Biological Sciences.
[2] J. Filipe,et al. Hybrid closure-approximation to epidemic models , 1999 .
[3] B M Bolker,et al. Analytic models for the patchy spread of plant disease , 1999, Bulletin of mathematical biology.
[4] Akira Sasaki,et al. Statistical Mechanics of Population: The Lattice Lotka-Volterra Model , 1992 .
[5] J. Kirkwood. Statistical Mechanics of Fluid Mixtures , 1935 .
[6] ben-Avraham,et al. Mean-field (n,m)-cluster approximation for lattice models. , 1992, Physical review. A, Atomic, molecular, and optical physics.
[7] W. Fry,et al. Models for the spread of disease: model description , 1983 .
[8] B. Bolker,et al. Spatial Moment Equations for Plant Competition: Understanding Spatial Strategies and the Advantages of Short Dispersal , 1999, The American Naturalist.
[9] F van den Bosch,et al. On the spread of plant disease: a theory on foci. , 1994, Annual review of phytopathology.
[10] M. Kimura,et al. The Stepping Stone Model of Population Structure and the Decrease of Genetic Correlation with Distance. , 1964, Genetics.
[11] J. Ord,et al. Spatial Processes. Models and Applications , 1982 .
[12] Three-species monomer-monomer model: A mean-field analysis and Monte Carlo study , 1996, cond-mat/9611197.
[13] H. Stanley,et al. Introduction to Phase Transitions and Critical Phenomena , 1972 .
[14] Peter Chesson,et al. Models for Spatially Distributed Populations: The Effect of Within-Patch Variability , 1981 .
[15] P. J. Hughesdon,et al. The Struggle for Existence , 1927, Nature.
[16] R. Dickman,et al. Kinetic phase transitions in a surface-reaction model: Mean-field theory. , 1986, Physical review. A, General physics.
[17] Phase diagram of a stochastic cellular automaton with long-range interactions , 1997, cond-mat/9711297.
[18] Tamás Czárán,et al. Spatiotemporal models of population and community dynamics , 1998 .
[19] T. E. Harris. Contact Interactions on a Lattice , 1974 .
[20] C. Huffaker. Experimental studies on predation : dispersion factors and predator-prey oscillations , 1958 .
[21] L. Madden,et al. Incorporating spatial variability into disease progress models for crop pathogens. In: Modelling in Applied Biology: Spatial Aspects , 1996 .
[22] G J Gibson,et al. Investigating mechanisms of spatiotemporal epidemic spread using stochastic models. , 1997, Phytopathology.
[23] C. Gilligan. Probability models for host infection by soilborne fungi , 1985 .
[24] D. Aylor. Deposition gradients of urediniospores of Puccinia recondita near a source. , 1987 .
[25] B. Fitt,et al. Spore dispersal in relation to epidemic models , 1986 .
[26] R. Durrett,et al. The Importance of Being Discrete (and Spatial) , 1994 .
[27] Norio Konno. Phase Transitions of Interacting Particle Systems , 1995 .
[28] 明 大久保,et al. Diffusion and ecological problems : mathematical models , 1980 .
[29] F. Ferrandino. Past Nonrandomness and Aggregation to Spatial Correlation: 2DCORR, a New Approach for Discrete Data. , 1998, Phytopathology.
[30] G. J. Gibson,et al. Comparing approximations to spatio-temporal models for epidemics with local spread , 2001, Bulletin of mathematical biology.
[31] L. Madden,et al. Analysis of epidemics using spatio-temporal autocorrelation , 1988 .
[32] M. Shaw,et al. Modeling stochastic processes in plant pathology. , 1994, Annual review of phytopathology.
[33] Simon A. Levin,et al. Stochastic Spatial Models: A User's Guide to Ecological Applications , 1994 .
[34] T. Huxley,et al. Population dynamics and management , 2000 .
[35] Elizabeth J. Austin,et al. Fitting and testing spatio‐temporal stochastic models with application in plant epidemiology , 1996 .
[36] C. Hickman. The Red Core Root Disease of The Strawberry Caused By Phytophthora Fragariae n.sp. , 1941 .
[37] J. M. Watt,et al. Modern numerical methods for ordinary differential equations , 1978 .
[38] G. J. Gibson,et al. Studying and approximating spatio–temporal models for epidemic spread and control , 1998 .
[39] Odo Diekmann,et al. How does transmission of infection depend on population size , 1995 .
[40] T. Liggett. Interacting Particle Systems , 1985 .
[41] D Mollison,et al. Epidemics: models and data. , 1994, Journal of the Royal Statistical Society. Series A,.
[42] Long-range interactions and nonextensivity in ferromagnetic spin models. , 1996, Physical review. B, Condensed matter.
[43] Y. Iwasa,et al. Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models , 1986, Journal of Mathematical Biology.