Prof. Lewi Stone

Emeritus in School of Zoology
ביה"ס לזואולוגיה אמריטוס
Prof. Lewi Stone
Phone: 03-6409806

Research Interests

Lewi Stone employs  mathematical models to help study biological systems.  His interest lies in particular in  theoretical ecology, in which he uses nonlinear dynamical systems theory, networks and probabilistic approaches to study the stability, persistence and extinction of species, often in a community context.  He is also greatly interested in modeling the spread of diseases in epidemiological systems, their seasonal drivers and their mitigation.  Specific research interests are:

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


Recent Publications

For full list


Since 2005

Molina C. and Stone L. Modelling the spread of diseases in clustered networks. J. Theor. Biol. 315: 110-118, 2012.


Huppert A., Barnea O., Katriel G., Yaari R., Roll U. and Stone L. Modeling and Statistical Analysis of the Spatio-Temporal Patterns of Seasonal Influenza in Israel . PLoS One, 7: e45107, 2012.


Uziel A. and Stone L. Determinants of periodicity in seasonally driven epidemics. J. Theor. Biol. 305: 88-95, 2012.


Katriel G. and Stone L. Attack rates of seasonal epidemics. Math. BioSci. , 235: 56-65, 2012.


Roll U., Stone L., Grenyer R. and Meiri, S. Not so holy after all. Israel J. Ecol. Evol. 2011.


Givan, O., Schwartz, N., Cygelberg, A. and Stone, L. Predicting epidemic thresholds on complex networks: Limitations of mean-field approaches. J. Theor. Biol. 288: 21-28. 2011.


Roll U., Yaari R., Katriel G., Barnea O., Stone L., Mendelson E., Mendelboim M. and Huppert A. Onset of a pandemic: characterizing and modeling the initial phase of the swine flu (H1N1) epidemic in Israel. BMC Infect. Disea., 11:92, 2011.


Stone L. The waltz of the weevil Nature 470: 47-49, 2011.


Hasson O. and Stone L. Why do females have so few extra-pair offspring? Behav. Ecol. Socio.65: 513-523, 2011.


Barnea O., Rami Y., Katriel G. and Stone L. Modelling seasonal influenza in Israel. Math. BioSci. Enginer. 8: 561-573, 2011.


Katriel G., Yaari R., Huppert A., Roll U. and Stone L. Modelling the initial phase of an epidemic using incidence and infection network data: 2009 H1N1 pandemic in Israel as a case study. J. R. Soc. Interface, 8: 856-867, 2011.


Katriel G. and Stone L. Pandemic dynamics and the breakdown of herd immunity. PLoS One, 5: e9565, 2010.


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


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


Miller E., Moshe Coll and Stone L. Complementary predation on metamorphosing species promotes stability in predator–prey systems. Theor. Ecol. 3: 153-161, 2010.


Roll R., Stone L. and Meiri S. Hot-spot facts and artifacts—questioning Israel’s great biodiversity. Israel J. Ecol. Evol. 55: 263-279, 2009.


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


Hasson O. and Stone L. Male infertility, female fertility and extrapair coupulations. Biol. Rev. 84: 225-244, 2009.


Berchenko Y., Artzy-Randrop Y., Teicher M. and Stone L. Emergence and Size of the Giant Component in Clustered Random Graphs with a Given Degree Distribution. Phys. Rev. E 102: 138701, 2009.


Litvak-Hinenzon A. and Lewi Stone: Spatio-temporal waves and targeted Vaccination in recurrent epidemic network models. J. R. Soc. Interface, 6: 749-760. 2009.


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


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


Lots-Shapira I. and Stone L. Perception of musical consonance and dissonance: an outcome of neural synchronization. J. R. Soc. Interface 6: 1429-1434, 2008. Review of above article in Nature News. Published online 13 June 2008 Nature


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. Limnol. Oceanogr.: Methods 6: 144-152. 2008.


Olinky R., Huppert A. and Stone L. Seasonal dynamics and thresholds governing recurrent epidemics. J. Math. Biol. 56: 827-839. 2008.


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


Bunimovich-Mendrazitsky S, Shochat E. and Stone L.Mathematical model of BCG immunotherapy in superficial bladder cancer. Bull. Math. Biol.69:1847-70. 2007.


Stone L. and He D.Chaotic oscillations and cycles in multi-trophic ecological systems. J. Theor. Biol. 248: 382-90. 2007.


Stone L., Olinky R. and Huppert A. Seasonal dynamics of recurrent epidemics. Nature446: 533-536. 2007.


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


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


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


Hinich M., Mendes E. and Stone L. Detecting Nonlinearity in Time Series: Surrogate and Bootstrap Approaches. Stud. Nonlinear Dyn. Economet. 9: 1268-1268. 2005.


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


Artzy-Randrup Y. and Stone L. Generating uniformly distributed random networks. Phys. Rev. E 72, 056708. 2005.


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


Fishman M. and Stone L. Fertility assurance and breeding synchrony. Bull. Math. Biol. 67: 875-883. 2005.


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

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