Optimal resource utilization (Vlastimil Krivan, Jaroslav Seda). Grant No 18002 of the Grant Agency of the Czechoslovak Academy of Sciences. Duration: 1991-1993.
References:
[1] Kastner-Maresch, A., Krivan, V. (1995) Modelling food preferences and viability constraints. Journal of Biological Systems 3:313-322
Support: 18002 (AVCR), 107101 (AVCR)
Link to this work
[2] Antonelli, P., Krivan, V. (1993) Large amplitude periodic fluctuations in starfish-coral dynamics. Ecological Modelling 67:251-257
Support: 18002 (AVCR), A7667 (NSERC)
Link to this work
[3] Colombo, R., Krivan, V. (1993) Selective strategies in food webs. IMA Journal of Mathematics Applied in Medicine and Biology
10:281-291
Support: 18002 (AVCR), 107101 (AVCR)
Link to this work
[4] Krivan, V. (1993) Projection of differential inclusions. Pages 119-130 in A. Kurzhanski, V. Veliov, eds. Set-Valued Analysis and Differential Inclusions. Birkhauser, Boston
Support: 18002 (AVCR)
Link to this work
[5] Antonelli, P., Krivan, V. (1992) Fuzzy differential inclusions as substitutes for stochastic differential equations in population biology. Open Systems and Information Dynamics in Physical and Life Sciences 1:217-232
Support: A7667 (NSERC), 18002 (AVCR)
Link to this work
Nonprobabilistic methods for treating uncertain systems (Vlastimil Krivan, Giovanni Colombo). Grant No ERB-CIPA-CT-93-1554 by EC. Duration: 1993.
References:
[1] Colombo, G., Dai Pra, P., Krivan, V., Vrkoc, I. (2003) Stochastic processes for bounded noise. Mathematics of Control, Signals, and Systems 16:95-119.
Support: ERB-CIPA-CT-93-1554 (EU), ERB-CIPA-CT-92-0370 (EU), 201/98/0227 (GACR), VS96086 (MSMT)
Link to this work
doi number: 10.1007/s00498-003-0131-y
Differential inclusions as a tool for describing uncertain systems (Vlastimil Krivan (PI)). Grant No 107101 of the Grant Agency of the Czechoslovak Academy of Sciences. Duration: 1993-1995.
References:
[1] Krivan, V., Colombo, G. (1998) A non-stochastic approach for modelling uncertainty in population dynamics. Bulletin of Mathematical Biology 60:721-751
Support: 107101 (AVCR), 201/98/0227 (GACR), ERB-93-1554 (EU)
Link to this work
[2] Krivan, V. (1997) Dynamic ideal free distribution: effects of optimal patch choice on predator-prey dynamics. American Naturalist 149:164-178
Support: 107101 (AVCR)
Link to this work
[3] Krivan, V., Sirot, E. (1997) Searching for food or hosts: the influence of parasitoids behavior on parasitoid-host dynamics. Theoretical Population Biology 51:201-209
Support: 107101 (AV CR)
Link to this work
[4] Sirot, E., Krivan, V. (1997) Adaptive superparasitsm and host-parasitoid dynamics. Bulletin of Mathematical Biology 59:23-42
Support: 107101 (AVCR),VS96086(MSMT)
Link to this work
[5] Krivan, V. (1996) Optimal foraging and predator-prey dynamics. Theoretical Population Biology 49:265-290
Support: 107101 (AVCR)
Link to this work
[6] Kastner-Maresch, A., Krivan, V. (1995) Modelling food preferences and viability constraints. Journal of Biological Systems 3:313-322
Support: 18002 (AVCR), 107101 (AVCR)
Link to this work
[7] Krivan, V. (1995) Differential inclusions as a methodology tool in population biology. Pages 544-547 in M. Snorek, M. Sujansky, A. Verbraeck, eds. Proceedings of the 9th European Simulation Multiconference, The Society for Computer Simulation, San Diego, CA
Support: 107101 (AVCR)
Link to this work
[8] Krivan, V. (1995) Individual behavior and population dynamics. Pages 17-31 in M. Candev, ed. Lecture notes on biomathematics and bioinformatics'95. DATECS Publ., Sofia.
Support: 107101 (AVCR)
Link to this work
[9] Colombo, R., Krivan, V. (1993) Selective strategies in food webs. IMA Journal of Mathematics Applied in Medicine and Biology
10:281-291
Support: 18002 (AVCR), 107101 (AVCR)
Link to this work
Mathematical methods of theoretical population biology (Vlastimil Krivan (PI), David Boukal, Ivo Vrkoc, Eric P.M. Grist, Ludek Berec). Grant No 201/98/0227 of the Grant Agency of the Czech Republic. Duration: 1/1998-12/2000.
References:
[1] Colombo, G., Dai Pra, P., Krivan, V., Vrkoc, I. (2003) Stochastic processes for bounded noise. Mathematics of Control, Signals, and Systems 16:95-119.
Support: ERB-CIPA-CT-93-1554 (EU), ERB-CIPA-CT-92-0370 (EU), 201/98/0227 (GACR), VS96086 (MSMT)
Link to this work
doi number: 10.1007/s00498-003-0131-y
[2] Lansky, P., Krivan, V., Rospars, J.-P. (2001) Ligand-receptor interaction under periodic stimulation: a modeling study of concentration chemoreceptors. European Biophysics Journal 30:110-120
Support: A7011712 (GAAVCR), 201/98/0227 (GACR), MSM123100004 (MSMT)
Link to this work
[3] Krivan, V. (2000) Optimal intraguild foraging and population stability. Theoretical Population Biology 58:79-94
Support: 201/98/0227 (GACR), VS96086 (MSMT), MSM123100004 (MSMT)
Link to this work
[4] Krivan, V., Vrkoc, I. (2000) Patch choice under predation hazard. Theoretical Population Biology 58:329-340
Support: 201/98/0227 (GACR), VS96086 (MSMT), MSM123100004 (MSMT)
Link to this work
[5] Krivan, V. (1998) Effects of optimal antipredator behavior of prey on predator-prey dynamics: role of refuges. Theoretical Population Biology 53:131-142
Support: 201/98/0227 (GACR), VS96086(MSMT), DEB-94-21535 (NSF)
Link to this work
[6] Krivan, V., Colombo, G. (1998) A non-stochastic approach for modelling uncertainty in population dynamics. Bulletin of Mathematical Biology 60:721-751
Support: 107101 (AVCR), 201/98/0227 (GACR), ERB-93-1554 (EU)
Link to this work
Modelling of ligand-receptor interactions (Vlastimil Krivan, P. Lansky, J.-P. Rospars). Project 972S (Barrande) (2000-2002).
Olfactory receptor cells are able to transduce chemical stimuli present in their environment into an electrical response. A crucial step in this transduction process is the interaction of the ligand molecules with receptor proteins borne by the cell membrane. In the center of our interest is a mathematical description of the steps leading the activation of the receptors on neuronal mebrane in the presence of a periodically changing ligand concentration. When possible, analytic solutions are given, if not for the complete model, at least forits simplified version at low ligand concentration. Otherwise, solutions are found numerically. The main aim of this research is to distinguish important steps in information transfer in olfactory receptor neurons.
References:
[1] Rospars, J-P., Lansky, P., Krivan, V. (2003) Extracellular transduction events under pulsed stimulation in moth olfactory sensilla. Chemical Senses 28:509-522.
Support: 972SL (Barrande),MSM123100004 (MSMT), Z5007907 (AVCR)
Link to this work
[2] Krivan, V., Lansky, P., Rospars, J-P. (2002) Coding of periodic pulse stimulations in chemoreceptors. BioSystems 67:121-128
Support: 972SL (Barrande), LST CLG976786 (NATO), 309/02/0168 (GACR), Z5007907 (AVCR), MSM12300004 (MSMT)
Link to this work
Understanding the role of individual-scale processes in community-level dynamics (B. Bolker, M. Holyoak, M. Mangel, Vlastimil Krivan, O. Schmitz, L. Rowe, E. Werner). NCEAS Project 2152, National Centre for Ecological Analysis and Synthesis, Santa Barbara, CA, USA Duration:1999-2000.
References:
[1] Krivan, V. (1998) Effects of optimal antipredator behavior of prey on predator-prey dynamics: role of refuges. Theoretical Population Biology 53:131-142
Support: 201/98/0227 (GACR), VS96086(MSMT), DEB-94-21535 (NSF)
Link to this work
Population ecology of social foragers (Vlastimil Krivan (PI), Etienne Sirot (PI). NATO Collaborative Linkage Grant No 979213. Duration: 9/2002-9/2004.
References:
[1] Krivan, V., Sirot, E. (2004) Do short-term behavioral responses of consumers in tri-trophic food chains persist at the population time scale?. Evolutionary Ecology Research, 6:1063-1081
Support: Collaborative Linkage Grant 979213 (NATO), 201/03/0091 (GACR), Z5007907, K6005114 (AVCR)
Link to this work
Merging adaptive behavior and population dynamics (Vlastimil Krivan). NSF #DEB-0072909, #DEB-0553768, National Centre for Ecological Analysis and Synthesis, Santa Barbara, CA, USA Duration: 2/2005-2/2006
References:
[1] Cressman, R., Krivan, V. (2006) Migration dynamics for the Ideal Free Distribution. American Naturalist 168:384-397
Support: DEB0072909 (NCEAS), IAA100070601 (GAAVCR), Z50070508 (AVCR)
Link to this work
[2] Krivan, V. (2006) The Ideal Free Distribution and bacterial growth on two substrates. Theoretical Population Biology 69:181-191
Support: DEB-0072909 (NCEAS), 201/03/0091 (GACR)
Link to this work
doi number: 10.1016/j.tpb.2005.07.006
[3] Krivan, V., Eisner, J. (2006) The effect of the Holling type II functional response on apparent competition. Theoretical Population Biology 70:421-430, doi:10.1016/j.tpb.2006.07.004
Support: IAA100070601 (GAAVCR), AV0Z50070508 (Institute of Entomology), DEB-0072909(NCEAS)
Link to this work
Mathematical models of biological networks (Vlastimil Krivan (PI), Ludek Berec, David Boukal, Ivo Vrkoc, Jan Eisner). Grant No A100070601 of GA AV. Duration: 1/2006-12/2009.
References :
[1] Berec, L., Eisner, J., Krivan, V. (2010) Adaptive foraging does not always lead to more complex food webs. Journal of Theoretical Biology 266:211-218
Support: Z50070508 (Institute of Entomology), IAA100070601 (GAAVCR)
Link to this work
doi number: 10.1016/j.jtbi.2010.06.034
[2] Cressman, R., Krivan, V. (2010) The Ideal Free Distribution as an Evolutionarily Stable State in Density-Dependent Population Games. Oikos, 119:1231-1242
Support: IAA100070601 (GAAVCR),AV0Z50070508 (Institute of Entomology)
Link to this work
doi number: 10.1111/j.1600-0706.2009.17845.x
[3] Krivan, V. (2009) Evolutionary games and population dynamics. Proceedings of Seminar in Differential Equations, Kamenice nad Lipou, Volume II, ed. P. Drabek. Vydavatelsky servis, Plzen. ISBN 978-80-86843-25-4
Support: IAA100070601 (GAAVCR)
[4] Krivan, V., Cressman, R., (2009) On evolutionary stability in prey-predator models with fast behavioral dynamics. Evolutionary Ecology Research 11:227-251
Support: IAA100070601 (GAAVCR),AV0Z50070508 (Institute of Entomology), NCEAS
Link to this work
[5] Melian, C. J., Bascompte, J., Jordano, P., Krivan, V. (2009) Diversity in a complex ecological network with two interaction types. Oikos 118:122-130
Support: A100070601, NCEAS
Link to this work
[6] Boukal, D. S., Berec, L., Krivan, V. (2008) Does sex-selective predation stabilize or destabilize predator-prey dynamics?. PloS ONE 3(7): e2687
Support: KJB600070602 (GAAVCR), IAA100070601 (GAAVCR), Z50070508 (Institute of Entomology)
Link to this work
doi number: 10.1371/journal.pone.0002687
[7] Krivan, V. (2008) Dispersal dynamics: Distribution of lady beetles.. European Journal of Entomology 105:405-409
Support: IAA100070601 (GAAVCR), AV0Z50070508 (Institute of Entomology)
Link to this work
[8] Krivan, V., Cressman, R., Schneider, C. (2008) The Ideal Free Distribution: A review and synthesis of the game theoretic perspective. Theoretical Population Biology 73:403-425 THEORETICAL POPULATION BIOLOGY TOP CITED ARTICLE 2008-2010
Support: IAA100070601 (GAAVCR), AV0Z50070508 (Institute of Entomology), MSM6007665801 (MSMT)
Link to this work
doi number: doi:10.1016/j.tpb.2007.12.009
[9] Abrams, P., Cressman, R., Krivan, V. (2007) The role of behavioral dynamics in determining the patch distributions of interacting species. American Naturalist 169:505-518
Support: IAA100070601 (GAAVCR)
Link to this work
[10] Krivan, V. (2007) The Lotka-Volterra predator-prey model with foraging-predation risk trade-offs. American Naturalist 170: 771-782
Support: IAA100070601 (GAAVCR), AV0Z50070508 (Institute of Entomology)
Link to this work
[11] Krivan, V., Vrkoc, I. (2007) A Lyapunov function for piecewise-independent differential equations: stability of the ideal free distribution in two patch environments. Journal of Mathematical Biology 54:465-488
Support: IAA100070601 (GAAVCR), AV0Z50070508 (Institute of Entomology), MSM6007665801 (MSMT)
Link to this work
doi number: 10.1007/s00285-006-0053-7
[12] Skaloudova, B., Zemek, R., Krivan, V. (2007) The effect of predation risk on an acarine system. Animal Behaviour 74: 813-821
Support: IAA60073039 (AVCR), IAA100070601, MSM6007665801 (MSMT), Z50070508 (AVCR)
Link to this work
[13] Berec, M., Krivan, V., Berec, L. (2006) Asymmetric competition, body size and foraging tactics: testing the ideal free distribution in two competing species. Evolutionary Ecology Research 8:929-942
Support: IAA100070601 (GAAVCR), AV0Z50070508 (Institute of Entomology), MSM6007665801 (MSMT)
Link to this work
[14] Cressman, R., Krivan, V. (2006) Migration dynamics for the Ideal Free Distribution. American Naturalist 168:384-397
Support: DEB0072909 (NCEAS), IAA100070601 (GAAVCR), Z50070508 (AVCR)
Link to this work
[15] Krivan, V., Eisner, J. (2006) The effect of the Holling type II functional response on apparent competition. Theoretical Population Biology 70:421-430, doi:10.1016/j.tpb.2006.07.004
Support: IAA100070601 (GAAVCR), AV0Z50070508 (Institute of Entomology), DEB-0072909(NCEAS)
Link to this work
Population games (Vlastimil Krivan) Sabbatical fellowship of the National Institute for Mathematical and Biological Synthesis, University of Tennessee, Knoxville, USA. Duration: August -December, 2010
References:
[1] Krivan, V., Lewis, M., Bentz, B., Bewick, S., Lenhart, S., Liebhold, A. (2016) A dynamical model for bark beetle outbreaks. Journal of Theoretical Biology 407:25-37
Support: EF-0832858 (NIMBIOS),RVO:60077344 (Institute of Entomology)
Link to this work
doi number: 10.1016/j.jtbi.2016.07.009
[2] Cressman, R., Krivan, V. (2013) Two-patch population models with adaptive dispersal: The effects of varying dispersal speeds. Journal of Mathematical Biology 67:329-358
Support: DMS0931642 (MBI),EF-0832858(NIMBioS),AV0Z50070508 (AV),RVO 60077344(AV)
Link to this work
doi number: DOI 10.1007/s00285-012-0548-3
[3] Krivan, V. (2013) Behavioral refuges and predator-prey coexistence. Journal of Theoretical Biology 339:112-121
Support: DMS 0931642(NSF),EF-0832858(NIMBioS),AV0Z50070508, RVO60077344 (Institute of Entomology)
Link to this work
doi number: 10.1016/j.jtbi.2012.12.016
[4] Krivan, V. (2011) On the Gause predator-prey model with a refuge: A fresh look at the history. Journal of Theoretical Biology 274:67-73
Support: AV0Z50070508 (Institute of Entomology), EF-0832858 (NIMBioS)
Link to this work
doi number: 10.1016/j.jtbi.2011.01.016
[5] Krivan, V. (2010) Evolutionary stability of optimal foraging: partial preferences in the diet and patch models. Journal of theoretical Biology 267:486-494
Support: AV0Z50070508 (Institute of Entomology), NSF #EF-0832858 371 (NIMBioS)
Link to this work
Long term visitor at Mathematical Biosciences Institute, OSU, Columbus, USA. Duration: August 21- October 28, 2011
References …
[1] Krivan, V., Lewis, M., Bentz, B., Bewick, S., Lenhart, S., Liebhold, A. (2016) A dynamical model for bark beetle outbreaks. Journal of Theoretical Biology 407:25-37
Support: EF-0832858 (NIMBIOS),RVO:60077344 (Institute of Entomology)
Link to this work
doi number: 10.1016/j.jtbi.2016.07.009
[2] Vrkoc, I., Krivan, V. (2015) Asymptotic stability of tri-trophic food chains sharing a common resource. Mathematical Biosciences, 270:90-94
Support: RVO:60077344 (Institute of Entomology), NSF DMS 0931642 (MBI)
Link to this work
doi number: 10.1016/j.mbs.2015.10.005
[3] Cressman, R., Krivan, V. (2013) Two-patch population models with adaptive dispersal: The effects of varying dispersal speeds. Journal of Mathematical Biology 67:329-358
Support: DMS0931642 (MBI),EF-0832858(NIMBioS),AV0Z50070508 (AV),RVO 60077344(AV)
Link to this work
doi number: DOI 10.1007/s00285-012-0548-3
[4] Krivan, V. (2013) Behavioral refuges and predator-prey coexistence. Journal of Theoretical Biology 339:112-121
Support: DMS 0931642(NSF),EF-0832858(NIMBioS),AV0Z50070508, RVO60077344 (Institute of Entomology)
Link to this work
doi number: 10.1016/j.jtbi.2012.12.016
[5] Krivan, V. (2011) On the Gause predator-prey model with a refuge: A fresh look at the history. Journal of Theoretical Biology 274:67-73
Support: AV0Z50070508 (Institute of Entomology), EF-0832858 (NIMBioS)
Link to this work
doi number: 10.1016/j.jtbi.2011.01.016
[6] Krivan, V. (2010) Evolutionary stability of optimal foraging: partial preferences in the diet and patch models. Journal of theoretical Biology 267:486-494
Support: AV0Z50070508 (Institute of Entomology), NSF #EF-0832858 371 (NIMBioS)
Link to this work
Long term visitor at Mathematical Biosciences Institute, OSU, Columbus, USA. Duration: August – November 2013
References:
[1] Krivan, V., Lewis, M., Bentz, B., Bewick, S., Lenhart, S., Liebhold, A. (2016) A dynamical model for bark beetle outbreaks. Journal of Theoretical Biology 407:25-37
Support: EF-0832858 (NIMBIOS),RVO:60077344 (Institute of Entomology)
Link to this work
doi number: 10.1016/j.jtbi.2016.07.009
[2] Vrkoc, I., Krivan, V. (2015) Asymptotic stability of tri-trophic food chains sharing a common resource. Mathematical Biosciences, 270:90-94
Support: RVO:60077344 (Institute of Entomology), NSF DMS 0931642 (MBI)
Link to this work
doi number: 10.1016/j.mbs.2015.10.005
[3] Cressman, R., Krivan, V. (2013) Two-patch population models with adaptive dispersal: The effects of varying dispersal speeds. Journal of Mathematical Biology 67:329-358
Support: DMS0931642 (MBI),EF-0832858(NIMBioS),AV0Z50070508 (AV),RVO 60077344(AV)
Link to this work
doi number: DOI 10.1007/s00285-012-0548-3
[4] Krivan, V. (2013) Behavioral refuges and predator-prey coexistence. Journal of Theoretical Biology 339:112-121
Support: DMS 0931642(NSF),EF-0832858(NIMBioS),AV0Z50070508, RVO60077344 (Institute of Entomology)
Link to this work
doi number: 10.1016/j.jtbi.2012.12.016
[5] Krivan, V. (2011) On the Gause predator-prey model with a refuge: A fresh look at the history. Journal of Theoretical Biology 274:67-73
Support: AV0Z50070508 (Institute of Entomology), EF-0832858 (NIMBioS)
Link to this work
doi number: 10.1016/j.jtbi.2011.01.016
[6] Krivan, V. (2010) Evolutionary stability of optimal foraging: partial preferences in the diet and patch models. Journal of theoretical Biology 267:486-494
Support: AV0Z50070508 (Institute of Entomology), NSF #EF-0832858 371 (NIMBioS)
Link to this work
Trophic interactions and diversity-stability relationships in insect outbreak systems. Project supported by National Institute for Mathematical and Biological Synthesis, University of Tennessee, Knoxville, USA.Duration: March 1-March 6, 2014
References:
[1] Krivan, V., Lewis, M., Bentz, B., Bewick, S., Lenhart, S., Liebhold, A. (2016) A dynamical model for bark beetle outbreaks. Journal of Theoretical Biology 407:25-37
Support: EF-0832858 (NIMBIOS),RVO:60077344 (Institute of Entomology)
Link to this work
doi number: 10.1016/j.jtbi.2016.07.009
[2] Cressman, R., Krivan, V. (2013) Two-patch population models with adaptive dispersal: The effects of varying dispersal speeds. Journal of Mathematical Biology 67:329-358
Support: DMS0931642 (MBI),EF-0832858(NIMBioS),AV0Z50070508 (AV),RVO 60077344(AV)
Link to this work
doi number: DOI 10.1007/s00285-012-0548-3
[3] Krivan, V. (2013) Behavioral refuges and predator-prey coexistence. Journal of Theoretical Biology 339:112-121
Support: DMS 0931642(NSF),EF-0832858(NIMBioS),AV0Z50070508, RVO60077344 (Institute of Entomology)
Link to this work
doi number: 10.1016/j.jtbi.2012.12.016
[4] Krivan, V. (2011) On the Gause predator-prey model with a refuge: A fresh look at the history. Journal of Theoretical Biology 274:67-73
Support: AV0Z50070508 (Institute of Entomology), EF-0832858 (NIMBioS)
Link to this work
doi number: 10.1016/j.jtbi.2011.01.016
[5] Krivan, V. (2010) Evolutionary stability of optimal foraging: partial preferences in the diet and patch models. Journal of theoretical Biology 267:486-494
Support: AV0Z50070508 (Institute of Entomology), NSF #EF-0832858 371 (NIMBioS)
Link to this work
Conflict, Competition, Cooperation and Complexity: Using Evolutionary Game Theory to Model Realistic Populations. European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 690817. Duration: January 2016-December 2019
References:
[1] Broom, M., Křivan, V. (2020) Two-strategy games with time constraints on regular graphs. Journal of Theoretical Biology, 506:110426
Support: 690817 (EU Horizon 2020)
Link to this work
doi number: https://doi.org/10.1016/j.jtbi.2020.110426
[2] Cressman, R., Křivan, V. (2020) Reducing courtship time promotes marital bliss: The Battle of the Sexes game revisited with costs measured as time lost. Journal of Theoretical Biology 503:110382
Support: MSC 690817 (EU Horizon 2020)
Link to this work
doi number: https://doi.org/10.1016/j.jtbi.2020.110382
[3] Křivan, V., Cressman, R. (2020) Defectors’ intolerance of others promotes cooperation in the repeated public goods game with opting out. Scientific Reports 10:19511
Support: H2020-MSCA-RISE-2015 grant agreement No 690817.
Link to this work
doi number: https://doi.org/10.1038/s41598-020-76506-3
[4] Broom, M., Cressman, R., Krivan, V. (2019) Revisiting the “fallacy of averages” in ecology: Expected gain per unit time equals expected gain divided by expected time. Journal of Theoretical Biology 483:109993
Support: No 690817 (EU Horizon 2020)
Link to this work
doi number: 10.1016/j.jtbi.2019.109993
[5] Cressman, R., Krivan, V. (2019) Bimatrix games that include interaction times alter the evolutionary outcome: The owner-intruder game. Journal of Theoretical Biology 460:262-273
Support: MSC 690817 (EU Horizon 2020)
Link to this work
doi number: 10.1016/j.jtbi.2018.10.033
[6] Krivan, V., Revilla, T. (2019) Plant coexistence mediated by adaptive foraging preferences of exploiters or mutualists. Journal of Theoretical Biology 480:112-128
Support: 690817 (EU Horizon 2020)
Link to this work
doi number: 10.1016/j.jtbi.2019.08.003
[7] Broom, M., Krivan, V. (2018) Biology and evolutionary games. Pages 1039-1077 in T. Basar, G. Zaccour (eds.), Handbook of Dynamic Game Theory. Springer International Publishing AG
Support: 690817 (Horizon 2020), 60077344 (RVO)
Link to this work
doi number: 10.1007/978-3-319-27335-8_31-1
[8] Krivan, V., Galanthy, T. E., Cressman, R. (2018) Beyond replicator dynamics: From frequency to density dependent models of evolutionary games. Journal of theoretical biology 455:232-248
Support: RVO:60077344 (Institute of Entomology), 690817 (EU Horizon 2020)
Link to this work
doi number: https://doi.org/10.1016/j.jtbi.2018.07.003
[9] Revilla, T., Krivan, V. (2018) Competition, trat-mediated facilitation, and the structure of plant-pollinator communities. Journal of theoretical biology 440:42-57
Support: RVO:60077344 (Institute of Entomology), 690817 (Marie Sklodowska-Curie 2020)
Link to this work
doi number: https://doi.org/10.1016/j.jtbi.2017.12.019
[10] Krivan, V. (2017) Kdyz se matematika potka s biologii: Matematicka ekologie (When mathematics meets biology: Mathematical ecology). PMFA 62:185-201
Support: AV0Z50070508 (Institute of Entomology), Marie Sklodowska-Curie grant No 690817
Link to this work
[11] Krivan, V., Cressman, R. (2017) Interaction times change evolutionary outcomes: Two-player matrix games. Journal of theoretical biology, 416:199–207
Support: RVO:60077344 (Institute of Entomology), 690817 (Horizon 2020)
Link to this work
doi number: http://dx.doi.org/10.1016/j.jtbi.2017.01.010
[12] Revilla, T. A., Krivan, V. (2016) Pollinator foraging flexibility and the coexistence of competing plants. Plos One 11: e0160076
Support: RVO:60077344 (Institute of Entomology), RISE 690817
Link to this work
doi number: 10.1371/journal.pone.0160076
Long-term effect of fish reduction on Daphnia in a large reservoir and confounding effect of changes of carbon and phosphorus load from the watershed (J. Seda (PI)). GACR GA15-24309S. Duration: 2015-2017
References:
[1] Křivan, V., Cressman, R. (2024) The Ideal Free Distribution with travel costs. Journal of Theoretical Biology, 579, 111717
Support: 955708 (European Union Horizon 2020)
Link to this work
doi number: https://doi.org/10.1016/j.jtbi.2023.111717
[2] Marcou, T., Revilla, T. A., Křivan, V. (2024) Evolutionary emergence of plant and pollinator polymorphisms in consumer-resource mutualisms. Journal of Theoretical Biology, 594:111911
Support: MSCA-955708
Link to this work
doi number: https://doi.org/10.1016/j.jtbi.2024.111911
[3] Galanthay, T. E.,Křivan, V., Cressman, R., Revilla, T. A. (2023) Evolution of aggression in consumer-resource models. Dynamic Games and Applications 13:1049-1065
Support: EU 955708 (Horizon 2020)
Link to this work
doi number: https://doi.org/10.1007/s13235-023-00496-w
[4] Cressman, R, Křivan, V. (2022) Using chemical reaction network theory to show stability of distributional dynamics in game theory. Journal of Dynamics and Games 9:351-371
Support: EU 955708 (Horizon 2020)
Link to this work
doi number: 10.3934/jdg.2021030
[5] Křivan, V., Cressman, R. (2022) The asymmetric Hawk-Dove game with costs measured as time lost. Journal of Theoretical Biology, 547:111162
Support: 955708 (EU Horizon 2020)
Link to this work
doi number: https://doi.org/10.1016/j.jtbi.2022.111162
[6] Revilla, T., Křivan, V. (2022) Prey–predator dynamics with adaptive protection mutualism. Applied Mathematics and Computation 433:127368
Support: 955708 (Horizon 2020)
Link to this work
doi number: https://doi.org/10.1016/j.amc.2022.127368
[7] Revilla, T., Marcou, T., Krivan, V. (2021) Plant competition under simultaneous adaptation by herbivores and pollinators. Ecological Modelling 455:109634
Support: EU 955708 (Horizon 2020)
doi number: https://doi.org/10.1016/j.ecolmodel.2021.109634