Structural stability of nonlinear population dynamics.
暂无分享,去创建一个
[1] Tim Rogers,et al. Dimension reduction for stochastic dynamical systems forced onto a manifold by large drift: a constructive approach with examples from theoretical biology , 2015 .
[2] Rudolf P. Rohr,et al. On the structural stability of mutualistic systems , 2014, Science.
[3] Ryan Wasserman,et al. Functional responses can unify invasion ecology , 2017, Biological Invasions.
[4] Serguei Saavedra,et al. A structural approach for understanding multispecies coexistence , 2017 .
[5] A. Montero-Castaño,et al. Estimating the effect of the reorganization of interactions on the adaptability of species to changing environments. , 2018, Journal of theoretical biology.
[6] Rudolf P. Rohr,et al. Nested species interactions promote feasibility over stability during the assembly of a pollinator community , 2016, Ecology and evolution.
[7] Erwin Frey,et al. Global attractors and extinction dynamics of cyclically competing species. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.
[8] Tim Rogers,et al. Stochastic Pattern Formation and Spontaneous Polarisation: The Linear Noise Approximation and Beyond , 2012, Bulletin of mathematical biology.
[9] René Thom,et al. Structural stability and morphogenesis - an outline of a general theory of models , 1977, Advanced book classics.
[10] Stefan Gottschalk,et al. The Origins Of Order Self Organization And Selection In Evolution , 2016 .
[11] K Sigmund,et al. The theory of evolution and dynamic systems mathematical aspects of selection , 1984 .
[12] Y. Takeuchi. Global Dynamical Properties of Lotka-Volterra Systems , 1996 .
[13] Tim Rogers,et al. Demographic noise can reverse the direction of deterministic selection , 2016, Proceedings of the National Academy of Sciences.
[14] George Sugihara,et al. Equation-free mechanistic ecosystem forecasting using empirical dynamic modeling , 2015, Proceedings of the National Academy of Sciences.
[15] Vito Volterra,et al. Leçons sur la théorie mathématique de la lutte pour la vie , 1931 .
[16] R. Levins. Evolution in Changing Environments: Some Theoretical Explorations. (MPB-2) , 1968 .
[17] Rudolf P. Rohr,et al. Persist or Produce: A Community Trade-Off Tuned by Species Evenness , 2016, The American Naturalist.
[18] John Vandermeer,et al. The Competitive Structure of Communities: An Experimental Approach with Protozoa , 1969 .
[19] S. Leibler,et al. Strongly deterministic population dynamics in closed microbial communities , 2015 .
[20] Dmitriĭ Olegovich Logofet,et al. Matrices and Graphs Stability Problems in Mathematical Ecology , 1993 .
[21] Rudolf P. Rohr,et al. Why are some plant–pollinator networks more nested than others? , 2017, The Journal of animal ecology.
[22] Josef Hofbauer,et al. Multiple limit cycles for three dimensional Lotka-Volterra equations , 1994 .
[24] A. J. Lotka. Analytical Note on Certain Rhythmic Relations in Organic Systems , 1920, Proceedings of the National Academy of Sciences.
[25] George W. A. Constable,et al. Mapping of the stochastic Lotka-Volterra model to models of population genetics and game theory. , 2017, Physical review. E.
[26] D. Tilman. The Importance of the Mechanisms of Interspecific Competition , 1987, The American Naturalist.
[27] A. Konopka,et al. Stochastic and deterministic assembly processes in subsurface microbial communities , 2012, The ISME Journal.
[28] Erwin Frey,et al. The edge of neutral evolution in social dilemmas , 2009, New Journal of Physics.
[29] Rudolf P. Rohr,et al. Reorganization of interaction networks modulates the persistence of species in late successional stages , 2017, The Journal of animal ecology.
[30] J. Sprott,et al. Chaos in low-dimensional Lotka–Volterra models of competition , 2006 .
[31] Serguei Saavedra,et al. How structurally stable are global socioeconomic systems? , 2014, Journal of The Royal Society Interface.
[32] G. G. Stokes. "J." , 1890, The New Yale Book of Quotations.
[33] Erwin Frey,et al. Extinction in neutrally stable stochastic Lotka-Volterra models. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.
[34] Jinqiao Duan. An Introduction to Stochastic Dynamics , 2015 .
[35] M E Gilpin,et al. Competition between species: theoretical models and experimental tests. , 1973, Theoretical population biology.
[36] D. Sherrington. Stochastic Processes in Physics and Chemistry , 1983 .
[37] S. Swain. Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences , 1984 .
[38] K. Michaelian,et al. Thermodynamic stability of ecosystems. , 2004, Journal of theoretical biology.
[39] M. Loreau,et al. Resilience, reactivity and variability: A mathematical comparison of ecological stability measures. , 2015, Journal of theoretical biology.
[40] Andrew G. Glen,et al. APPL , 2001 .