Structural sensitivity of biological models revisited.
暂无分享,去创建一个
Andrew Morozov | Jean-Christophe Poggiale | David Nerini | Mathias Gauduchon | A. Morozov | J. Poggiale | F. Cordoleani | M. Gauduchon | Flora Cordoleani | D. Nerini
[1] Horst Malchow,et al. Experimental demonstration of chaos in a microbial food web , 2005, Nature.
[2] Jean-Christophe Poggiale,et al. Towards methodological approaches to implement the zooplankton component in “end to end” food-web models , 2010 .
[3] S. Ellner,et al. Crossing the hopf bifurcation in a live predator-prey system. , 2000, Science.
[4] R. Arditi,et al. Variation in Plankton Densities Among Lakes: A Case for Ratio-Dependent Predation Models , 1991, The American Naturalist.
[5] M. Conroy,et al. Analysis and Management of Animal Populations , 2002 .
[6] H. I. Freedman. Graphical stability, enrichment, and pest control by a natural enemy , 1976 .
[7] S Pavlou,et al. Dynamics of a chemostat in which one microbial population feeds on another , 1985, Biotechnology and bioengineering.
[8] Jeffrey C. Lagarias,et al. Convergence Properties of the Nelder-Mead Simplex Method in Low Dimensions , 1998, SIAM J. Optim..
[9] Mary R. Myerscough,et al. Stability, persistence and structural stability in a classical predator-prey model , 1996 .
[10] B. Quéguiner,et al. How far details are important in ecosystem modelling: the case of multi-limiting nutrients in phytoplankton–zooplankton interactions , 2010, Philosophical Transactions of the Royal Society B: Biological Sciences.
[11] J. Truscott,et al. Equilibria, stability and excitability in a general class of plankton population models , 1994, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.
[12] Y. Kuznetsov. Elements of Applied Bifurcation Theory , 2023, Applied Mathematical Sciences.
[13] Bernd Blasius,et al. Community response to enrichment is highly sensitive to model structure , 2005, Biology Letters.
[14] Predator-prey models in heterogeneous environment: Emergence of functional response , 1998 .
[15] Craig A. Stow,et al. Evaluation of the current state of mechanistic aquatic biogeochemical modeling: citation analysis and future perspectives. , 2006 .
[16] Yang Kuang,et al. Uniqueness of limit cycles in Gause-type models of predator-prey systems , 1988 .
[17] Horst R. Thieme,et al. Asymptotically Autonomous Differential Equations in the Plane , 1993 .
[18] Göran Englund,et al. Scaling up the functional response for spatially heterogeneous systems. , 2008, Ecology letters.
[19] Jonathan M. Jeschke,et al. PREDATOR FUNCTIONAL RESPONSES: DISCRIMINATING BETWEEN HANDLING AND DIGESTING PREY , 2002 .
[20] Paul Waltman,et al. The Theory of the Chemostat , 1995 .
[21] A. Morozov,et al. Emergence of Holling type III zooplankton functional response: bringing together field evidence and mathematical modelling. , 2010, Journal of theoretical biology.
[22] J. Simonoff. Smoothing Methods in Statistics , 1998 .
[23] A. Morozov,et al. Towards a correct description of zooplankton feeding in models: taking into account food-mediated unsynchronized vertical migration. , 2010, Journal of theoretical biology.
[24] G. Butler,et al. Predator-mediated competition in the chemostat , 1986 .
[25] Andrei Korobeinikov,et al. Stability of ecosystem: global properties of a general predator-prey model. , 2009, Mathematical medicine and biology : a journal of the IMA.
[26] Michel Loreau,et al. Trophic Interactions and the Relationship between Species Diversity and Ecosystem Stability , 2005, The American Naturalist.
[27] John Parslow,et al. Biogeochemical marine ecosystem models II: the effect of physiological detail on model performance , 2004 .
[28] Peter A. Abrams,et al. The Fallacies of "Ratio‐Dependent" Predation , 1994 .
[29] F. Brauer,et al. Mathematical Models in Population Biology and Epidemiology , 2001 .
[30] Simon N. Wood,et al. Super–sensitivity to structure in biological models , 1999, Proceedings of the Royal Society of London. Series B: Biological Sciences.
[31] J. Demongeot,et al. From biological and clinical experiments to mathematical models , 2009, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[32] John A. Nelder,et al. A Simplex Method for Function Minimization , 1965, Comput. J..
[33] R. P. Canale,et al. Experimental and mathematical modeling studies of protozoan predation on bacteria , 1973 .