•  Theoretical Ecology
•  Mathematical Biology
•  Population Models of Disease Spread
•  Nonlinear Dynamics

Recruiting PhD students and postdoc fellows NOW

for research in

Theoretical Biology

Research Aid:  Lidya Maltz

Students, Post-Doctoral Fellows, Research Assistants

Past students

Australian National Health and Medical Research Council Dietary Salt Study Management Committee: Statistical Analysis: J.L. Hopper (co-ordinator), S. Cheng, L. Stone. Fall in blood pressure with modest reduction in dietary salt intake in mild hypertension. The Lancet, No. 8635 Vol. 1: 399-402, 1989.

Stone, L. Phytoplankton - bacteria - protozoa interactions: A qualitative model portraying indirect effects. Mar. Ecol. Prog. Ser. 64: 137-145, 1990.

Stone, L. and Roberts, A. The checkerboard score and species distribution. Oecologia 85: 74-79, 1990.

Roberts, A. and Stone, L. Island-sharing by archipelago species. Oecologia 83: 560-567, 1990.

Roberts, A. and Stone, L. Comments on Dolph Schluter's remarks. Oecologia 83: 567, 1990.

Stone, L. and Roberts, A. Conditions for a species to gain advantage from the presence of competitors. Ecology 72(6): 1964-1972, 1991.

Bergstein, T. and Stone, L. The distribution of fecal pollution indicator bacteria in Lake Kinneret. Water Research 25(3): 263-270, 1991.

Stone, L. Coloured noise or low-dimensional chaos? Proceedings of The Royal Society of London (B) 250: 77-81, 1992.

Stone, L. and Weisburd, R. Positive feedback in aquatic ecosystems. Trends in Ecol. Evolut. 7(8): 263-267, 1992.

Stone, L. and Roberts, A. Competitive exclusion, or species aggregation? An aid in deciding. Oecologia 91: 419-424, 1992.

Stone, L. Period doubling reversals and chaos in simple ecological models. Nature 365 : 617-620, 1993.

          Stone, L. and Berman T. Lake Kinneret: A seasonal model for carbon flux through

           the planktonic biota. Limnol. Oceanogr. 38 : 1680-1695, 1993.

Stone, L. Ecological chaos. Nature 367 : 418, 1994.

Tziperman, E., Stone, L., Cane, M. and Jarosh, H. El-Nino chaos. Science 264 : 72-74, 1994.

Berman, T. and Stone, L. Musings on the microbial loop. Microbial Ecol. 28 : 251-253, 1994.

Berman, T., Stone, L., Yacobi, Y.Z., Schlichter, M., Nishri, A. and Pollingher, U. Primary production and phytoplankton in Lake Kinneret : A long-term record (1972-1993). Limnol. Oceanogr. 48 : 1064-1076, 1995.

Stone, L. Biodiversity and habitat destruction in model forest and coral reef ecosystems. Proc. Royal Soc. B 261 : 381-388, 1995.

Stone , L. and Ezrati, S. Chaos, cycles and spatio-temporal dynamics in plant ecology. J. Ecol. 84 : 279-291, 1996.

Stone, L., Dayan, T. and Simberloff, D. Community-wide assembly rules unmasked. Amer. Nat. 148 : 997-1015, 1996.

Stone, L., Eilam, E., Abelson, A. and Ilan, M. Modelling Coral reef biodiversity and habitat destruction. Mar. Ecol. Prog. Ser. 134 : 299-302,1996.

Stone, L., Gabric and Berman, T. Ecosystem stability and productivity: seeking a relationship. Amer. Nat. 148 : 892-903, 1996.

Stone, L., Landan, G. and May, R.M. Detecting time's arrow: A method for identifying nonlinearity and deterministic chaos in time-series data. Proc. of Royal Soc. B263 : 1509-1513, 1996.

Hart, D., Stone, L., Stern, A., Straile, D. and Gaedke, U. Methods for balancing ecosystem flux charts: New techniques and software. Environ. Mod. Assess. 2 : 23-28, 1997.  

Neiman, A., Saparin, P. and Stone, L. Coherence resonance at noisy precursors of bifurcations in nonlinear dynamical systems. Physics Review E. 56 : 270-274, 1997.

Stone, L., Saparin, P., Huppert, A. and Price, C. El Nino chaos: The role of stochastic resonance and noise in the ENSO cycle. Geographical Research Letters 25: 175-178, 1998.

Stone, L., Shulgin, B. and Agur, Z. Theoretical examination of the pulse vaccination policy in the SIR epidemic model. Mathematical and Computer Modelling 31:207-215, 2000.

Huppert, A. and Stone, L. Chaos in the Pacific's coral reef bleaching cycle: A model. American Naturalist, 152: 447-459, 1998.

Shulgin, B., Stone L. and Agur, Z. Pulse vaccination strategy in the SIR epidemic model. Bulletin of Mathematical Biology 60: 1123-1148, 1998.

Price, C., Stone L., Huppert, A., Rajagopalan, B. and Alpert P. A possible link between El Nino and precipitation in Israel . Geophysical Review Letters 21: 3963-3966, 1998.

Stone L. and Hart, D. Effects of immigration on the dynamics of simple population models. Theoretical Population Biology 55: 227-234, 1999.  

Blasius, B., Huppert, A. and Stone L. Complex dynamics and phase synchronization in spatially extended ecological systems . Nature 399: 354-359, 1999.

Lotem, A., Fishman, M. A. and Stone L. Evolution of Cooperation between individuals. Nature 400: 226-227, 1999.

Stone L., Huppert, A., Rajagopalan, B. and Loya, Y. Mass coral reef bleaching: An outcome of increased El Nino activity? Ecology Letters 2:325-330, 1999.

Hart, D.R., Berman, T. and Stone L. Seasonal dynamics of the Lake Kinneret . Food web.The importance of the microbial loop. Limnol. Oceanogr. 45: 350-361, 2000.

Stone L., B. Shulgin and Z. Agur. Theoretical examination of the pulse vaccination policy in the SIR epidemic Model Mathematical and computer Modeling 31: 207-215, 2000.

Stone L., Dayan, T. and Simberloff, D On desert rodents, favored states and unresolved issues: Scaling up and down regional assemblages and local communities Amer. Nat. 156: 322-328, 2000.  

Blasius B and Stone L. Chaos and phase synchronization in ecological systems. International Journal of Bifurcation and Chaos 10: 2361-2380, 2000.

Vandermeer, J., Stone, L. and Blasius B. Categories of chaos and fractal basin boundaries in forced predator-prey models. Chaos Solitons and Fractals 12: 265-276, 2001.

Blasius B and Stone L. Nonlinearity and the Moran effect. Nature 406: 846-847, 2000. Reviewed in: Loyd AL & May R Synchronicity, chaos and population cycles: spatial coherence in an uncertain world. TREE 14: 417-418 (1999)

Fishman, M Lotem A and Stone L. Heterogeneity stabilizes reciprocal altruism interactions. J. Theor. Biol. 209: 87-95. 2001.

Cazelles, B., Bottini, S. and Stone L. Unexpected Coherence and Conservation. Proceedings Royal Society B 268: 2595-2602. 2001.  

Rozdilsky, I. and Stone L. Complexity can Enhance Stability in Competitive systems. Ecology Letters 4:397-400. 2001.

Stone L., Olinky R., Blasius B., Huppert A., Cazelles B. Complex Synchronization Phenomena in Ecological Systems. American Institute of Physics. 2002.

Almogy G, Stone L and BenTal N. Multi-stage Regulation, a Key to reliable adaptive biochemical pathways. Biophysical Journal 81: 3016-3028. 2001.

Solow, A.R., Stone L. and Rozdilsky I. A Crtical smoothing test for Multiple Equlibria. Ecology 84: 1459-1463. 2002.

Huppert A., Blasius B., and Stone L. A Model of Phytoplankton Blooms. American Naturalist 159: 156-171. 2002.

Fishelson L., Bressler V., Abelson A., Stone L., Gefen E., Rosenfeld M. and Mokady O. The two sides of man-induced changes in littoral marine communities: Eastern Mediterranean and the Red Sea as an example. The Science of the Total Enviornment 296: 139-151. 2002.

Almogy, G, Cohen N., Stoecker, S and Stone L. Immune response and virus population composition: HIV as a case study . Proceedings Royal Society B 269: 809-815. 2002.  

Fishman, M., Lotem A. and Stone L. Fertility assurance through extrapair fertilization and male parental effort. Bulletin of Mathematical Biology 64: 809-823. 2002.

He D., Stone L. and Zheng Z. Analysis of generalized synchronization in directionally coupled chaotic phase-coherent oscillators by local minimal fluctuations Physical Review E, 66, 036208 (Sept. 2002)

Lotem A., Fishman M.A. and Stone L. From reciprocity to unconditional altruism through signaling benefits. Proceedings Royal Society B 270: 199-205. 2003.

Stone L., He D., Becker K. and Fishelson L. Unusual synchronization of Red Sea fish energy expenditures. Ecology letters, 6: 83-86. 2003.

He D., Shi P. and Stone L. Noise-induced synchronization in realistic models. Physical Review E 67, 027201, 2003. 

He D., Zheng Z. and Stone L. Detecting generalized synchrony: An improved approach. Physical Review E 67, 026223. 2003.  

Fishman M.A., Stone L. and Lotem L. Fertility assurance through extrapair fertilizations and male paternity defense. J. Theor. Biol. 221: 103-114. 2003.

Solow A.R., Stone L and Rozdilsky I. A critical smoothing test for multiple equilibria. Ecology 84: 1459-1463. 2003.

He D.H. and Stone L. Spatio-temporal synchronization of recurrent epidemics. Proceedings Royal Society of London ; Biological Sciences 270 : 1519- 1526. 2003.

Gao J., Lu H.P., He D.H., Stone L. and Zheng Z. Unexpected correspondence between noise-induced and master-slave complete synchronizations. Phys. Rev. E 68, 037202. 2003.

Gefen E., Stone L., Rosenfeld M. and von Westernhagen, Hein. Biological indicators in marine and coastal waters: a statistical and modeling analysis of the MARS campaign. Helgol. Mar. Res. 57: 272-284. 2003.

Cazzeles B. and Stone L. Detection of imperfect population synchrony in an uncertain world. J. Anim. Ecol. 72: 953-968. 2003.

Fishman M.A. and Stone L . Indiscriminate polyandry and male parental effort . Bul.Math. Biol. 66: 47-63. 2004

Rozdilsky I.D. and Stone L. Solow A. The effects of interaction compartments on stability for competitive systems. J. Theo. Biol. 227: 277-282. 2004.

Roberts. A. and Stone L. Advantageous interactions in systems of competition. J. Theo. Biol. 228: 367-375. 2004.

          Stone L. Population ecology: A three player solution. Nature 430: 299-300. 2004.

Huppert A., Blasius B. and Stone L. What minimal models can tell Reply to van Ness and Scheffer. American Naturalist 163: 927-929. 2004.

Huppert A., Olinky R., Stone L. Bottom-up Excitable Models of Phytoplankton Blooms. Bulletin of Mathematical Biology. 66: 865-878 .2004.  

Artzy-Randrup Y., Fleishman S.J., Ben-Tal N. and Stone L. Comments on "Network Motifs: Simple Building Blocks of Complex Networks" and "Superfamilies of Evolved and Designed Networks". Science 305: 5687. 2004.  

Olinky R. and Stone L. Unexpected epidemic thresholds in scale-free networks. Physical Review E 70, 30902(R). 2004.  

Cohen N., Dagan T., Stone L. and Graur D. GC Composition of the Human Genome: In search of Isochores. Molecular Biology and Evolution. 22: 1260-1272. 2005.  

Fishman M. and Stone L. Fertility and breeding synchrony. Bulletin of Mathematical Biology. 67: 875-883. 2005.  

Huppert A., Blassius B., Olinky R. and Stone L. A model for seasonal phytoplankton blooms. J. Theor. Biol. 236: 276-290. 2005.  

Bunimovich-Mendrazitsky S. and Stone L. Modeling Polio as a Disease of Development. J. Theoretical Biology. 237: 302-315. 2005. 

Melvin Hinich, Eduardo Mendes and Lewi Stone . Detecting Nonlinearity in Time Series: Surrogate and Bootstrap Approaches. Studies in Nonlinear Dynamics & Econometrics. 9: 1268-1268. 2005

 

Fishman M. and Stone L. Trade up polygyny and breeding synchrony in avian populatios. J. Theor. Biol. 238:104-110. 2006.

 

Barnea O., Solow A.R. and Stone L. On fitting a model to a population time series with missing values.Isreal J. Ecol. Evol. 5 :1-10. 2006.

 

Artzy-Randrup Y., Olinky R. and Stone L. Size structure demographic models of coral populations. J. Theor. Biol. 245 (3): 482-497. 2007.

 

Stone L., Olinky R. and Huppert A. Seasonal dynamics of recurrent epidemics. Nature 446: 533-536. 2007.

Stone L. and He D. Chaotic oscillations and cycles in multi-trophic ecological systems. J Theor Biol. 248:382-90.2007.

 

          Bunimovich-Mendrazitsky S , Shochat E , Stone L . Mathematical model of BCG

           immunotherapy in superficial bladder cancer. Bull Math Biol. 69:1847-70.2007.

Stone L. Review of: Dynamic Models in Biology by Ellner SP and J. Guckenheimer, in Bioscience 57: 290-292. 2007.  

Olinky R, Huppert A. and Stone L. synchronization of recurrent. J. Math Biol.56: 827-839. 2008.

Zvuloni A. Artzy-Randrup Y., Stone L., van Woesik R. and Loya Y. Ecological size-frequency distributions: how to prevent and correct biases in spatial sampling. 2008. Limnol. Oceanogr.: Methods 6,144-152. 2008.

Lotz-Shapira I. and Stone L. Perception of musical consonance and dissonance: an outcome of neural synchronization. J. R. Soc. Interface . Vol. 5 (29),  pages: 1429-1434 ,2008.  

Review of above article in Nature News. Published online 13 June 2008 | Nature | doi:10.1038/news.2008.883  

Bunimovich-Mendrazitsky S., Byrne H. and Stone L. Mathematical Model of Pulsed Immunotherapy for Superficial Bladder Cancer. Bulletin of Mathematical Biology. Bull Math Biol. 70(7):2055-276 . 2008.  

Zvuloni A. Artzy-Randrup Y., Stone L., van and Loya Y. (2009) Spatio-temporal transmission patterns of black-band disease in a coral community. PLoS ONE 4: e4993.

Olinky R, Huppert Aand Stone L. Seasonal dynamics and thresholds governing recurrent
epidemics. J. Math. Biol. (2008) 56:827–839

Litvak-Hinenzon A. & Lewi Stone: Spatio-temporal waves and targeted Vaccination in recurrent epidemic network models. R. Roy. Soc. Interface. Vol. 6(38) p. 749-760, 2009.

Berchenko Y., Artzy-Randrop Y., Teicher M., Stone L. Emergence and Size of the Giant Component in Clustered Random Graphs with a Given Degree Distribution Physical Review Letters. Vol. 102 (13) Article Number: 138701, 2009.

Oren Hasson and Lewi Stone. Male infertility, female fertility and extrapair coupulations. Biological Reviews. Vol. 84 (2), p. 225-244, 2009.

Huppert A., Katriel G., Yaari R., Roll U., Balicer R., Stone L. Mathematical models as a tool for facing the influenza pandemic, HaRefuah  (Hebrew) 149, 4-8, 2010

Kopelman N., Lewi S., Wang C., Gefel D., Feldman M.W., Hillel J., Rosenberg N.A. 2009. Genomic microsatellites identify shared Jewish ancestry intermediate between Middle Eastern and European populations. BMC Genetics, 10:80. http://www.biomedcentral.com/1471-2156/10/80

Ezer Miller & Moshe Coll & Lewi Stone 2009. Complementary predation on metamorphosing species promotes stability in predator–prey systems. Theor Ecol DOI 10.1007/s12080-009-0059-z

Uri Roll, Lewi Stone & Shai Meirib. Hot-spot facts and artifacts—questioning Israel’s great biodiversity. ISRAEL JOURNAL OF ECOLOGY & EVOLUTION, Vol. 55, pp. 263–279. DOI: 10.1560/IJEE.55.3.263. 2009.

Artzy-Randrup Y. Stone L. 2010 Connectivity, Cycles, and Persistence Thresholds in Metapopulation Networks PLOS Computational Biology 6:1-10.

Katriel, G. & Stone, L. Pandemic dynamics and the breakdown of herd immunity. PLOS-One. 2010

G. Katriel, R. Yaari, A. Huppert, U. Roll and L. Stone . Modelling the initial phase of an epidemic using incidence and infection network data: 2009 H1N1 pandemic in Israel as a case study. Interface 2011.

Barnea O., Rami Y., Katriel G. & Stone L. Modelling seasonal influenza in Israel Mathematical BioSciences and Engineering 2011.

Hasson O. & Stone L. Why do females have so few extra-pair offspring? Behavioral Ecology and Sociobiology    (2011) 65:513 – 523

Stone, L. The waltz of the weevil, Nature 2011.

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