Vlastimil Krivan: List of Publications
[1] Cressman, R., Krivan, V. 9999. Times for courtship and parental care of children lead to male desertion and females who mate immediately: The Battle of the Sexes game revisited. Subm..
[2] 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. https://doi.org/10.1016/j.jtbi.2019.109993
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[3] 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. https://doi.org/10.1016/j.jtbi.2018.10.033
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[4] Krivan, V., Revilla, T. 2019. Plant coexistence mediated by adaptive foraging preferences of exploiters or mutualists. Journal of Theoretical Biology 480:112-128. https://doi.org/10.1016/j.jtbi.2019.08.003
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[5] Schreiber, S. J., Krivan, V. 2019. Holt (1977) and apparent competition. Theoretical Population Biology xxx:xxx-xxx.
[6] Akimenko, V., Krivan, V. 2018. Asymptotic Stability of Delayed Consumer Age-Structured Population Models with an Allee Effect. Mathematical Biosciences 306:170-179. https://doi.org/10.1016/j.mbs.2018.10.001
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[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. 10.1007/978-3-319-27335-8_31-1
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[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 . https://doi.org/10.1016/j.jtbi.2018.07.003
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[9] Revilla, T., Krivan, V. 2018. Competition, trat-mediated facilitation, and the structure of plant-pollinator communities. Journal of theoretical biology 440:42-57. https://doi.org/10.1016/j.jtbi.2017.12.019
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[10] Krivan, V. 2017. Kdyz se matematika potka s biologii: Matematicka ekologie (When mathematics meets biology: Mathematical ecology). PMFA 62:185-201.
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[11] Krivan, V., Cressman, R. 2017. Interaction times change evolutionary outcomes: Two-player matrix games. Journal of theoretical biology, 416:199–207. http://dx.doi.org/10.1016/j.jtbi.2017.01.010
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[12] 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. 10.1016/j.jtbi.2016.07.009
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[13] Mariani, P., Krivan, V., MacKenzie, B. R., Mullon, C. 2016. The migration game in habitat network: the case of tuna. Theoretical Ecology 9:219-232.
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[14] Revilla, T. A., Krivan, V. 2016. Pollinator foraging flexibility and the coexistence of competing plants. Plus One 11: e0160076. 10.1371/journal.pone.0160076
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[15] Broom, M., Krivan V., Riedel F. 2015. Dynamic Games and Applications: Second Special Issue on Population Games: Introduction. Dynamic Games and Applications 5:155-156 . 10.1007/s13235-015-0153-3
[16] Krivan V., Berec L. 2015. Matematika ve službách biologie. Scientific American, Czech edition 2015(2):17.
[17] Krivan V., Jana D. 2015. Effects of animal dispersal on harvesting with protected areas. Journal of Theoretical Biology 364:131-138. http://dx.doi.org/10.1016/j.jtbi.2014.09.010
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[18] Krivan, V. 2015. Population games. Biomath Communications 2:14-19. http://dx.doi.org/10.11145/416
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[19] Krivan, V., Pryiadarshi, A. 2015. L-shaped prey isocline in the Gause predator-prey experiments with a prey refuge. Journal of theoretical biology 370:21-26 .
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[20] Melian, C. J., Krivan, V., Altermatt, F., Stary, P. , Pellissier, L., De Laender, F. 2015. Dispersal Dynamics in Food Webs. American Naturalist 185:157-168. 10.1086/679505
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[21] Vrkoc, I., Krivan, V. 2015. Asymptotic stability of tri-trophic food chains sharing a common resource. Mathematical Biosciences, 270:90-94. 10.1016/j.mbs.2015.10.005
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[22] Broom, M., Krivan, V., Riedel, F. 2014. Dynamic Games and Applications: Introduction to the special issue on population games. Dynamic Games and Application.
[23] Cressman, R., Krivan, V., Garay, J., Brown, J. 2014. Game-theoretic methods for functional response and optimal foraging behavior. PLoS ONE 9(2): e88773. . doi:10.1371/journal.pone.0088773
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[24] Krivan, V. 2014. Competition in di- and tri-trophic food web modules. Journal of Theoretical Biology, 343,127-137. http://dx.doi.org/10.1016/j.jtbi.2013.11.020
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[25] Krivan, V. 2014. The Allee-type Ideal Free Distribution. Journal of Mathematical Biology 69:1497-1513. 10.1007/s00285-013-0742-y
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[26] Xu, Fei, Cressman, R., Krivan, V. 2014. Evolution of mobility in predator-prey systems. Discrete and Continuous Dynamical Systems, Series B (DCDS-B)19:3397-3432 . 10.3934/dcdsb.2014.19.3397
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[27] 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. DOI 10.1007/s00285-012-0548-3
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[28] Krivan, V. 2013. Behavioral refuges and predator-prey coexistence. Journal of Theoretical Biology 339:112-121. 10.1016/j.jtbi.2012.12.016
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[29] Krivan, V., Zaccour, G. 2013. Preface. Pages v-vii in V. Krivan and G. Zaccour, eds. Advances in Dynamic Games - Theory, Applications, and Numerical Methods. Birkhauser.
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[30] 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. 10.1016/j.jtbi.2011.01.016
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[31] 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. 10.1016/j.jtbi.2010.06.034
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[32] Cressman, R., Krivan, V. 2010. The Ideal Free Distribution as an Evolutionarily Stable State in Density-Dependent Population Games. Oikos, 119:1231-1242. 10.1111/j.1600-0706.2009.17845.x
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[33] Krivan, V. 2010. Evolutionary stability of optimal foraging: partial preferences in the diet and patch models. Journal of theoretical Biology 267:486-494.
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[34] 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.
[35] Krivan, V., Cressman, R., 2009. On evolutionary stability in prey-predator models with fast behavioral dynamics. Evolutionary Ecology Research 11:227-251.
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[36] Melian, C. J., Bascompte, J., Jordano, P., Krivan, V. 2009. Diversity in a complex ecological network with two interaction types. Oikos 118:122-130.
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[37] Boukal, D. S., Berec, L., Krivan, V. 2008. Does sex-selective predation stabilize or destabilize predator-prey dynamics?. PloS ONE 3(7): e2687. 10.1371/journal.pone.0002687
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[38] Krivan, V. 2008. Prey-predator models. Pages 2929-2940 in S. E. Jørgensen and B. D. Fath, eds. Population Dynamics. Vol. 4 of Encyclopedia of Ecology, 5 vols. Elsevier, Oxford. Reprinted in Elsevier Reference Module in Earth Systems and Environmental Sciences, 2012..
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[39] Krivan, V. 2008. Dispersal dynamics: Distribution of lady beetles.. European Journal of Entomology 105:405-409.
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[40] 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. doi:10.1016/j.tpb.2007.12.009
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[41] 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.
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[42] Krivan, V. 2007. The Lotka-Volterra predator-prey model with foraging-predation risk trade-offs. American Naturalist 170: 771-782.
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[43] 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. DOI 10.1007/s00285-006-0053-7
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[44] Skaloudova, B., Zemek, R., Krivan, V. 2007. The effect of predation risk on an acarine system. Animal Behaviour 74: 813-821.
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[45] 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.
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[46] Cressman, R., Krivan, V. 2006. Migration dynamics for the Ideal Free Distribution. American Naturalist 168:384-397.
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[47] Krivan, V. 2006. The Ideal Free Distribution and bacterial growth on two substrates. Theoretical Population Biology 69:181-191. 10.1016/j.tpb.2005.07.006
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[48] 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.
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[49] Skaloudova, B., Krivan, V., Zemek, R. 2006. Computer-assisted estimation of leaf damage caused by spider mites. Computers and Electronics in Agriculture 53:81-91.
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[50] Krivan, V., Diehl, S. 2005. Adaptive omnivory and species coexistence in tri-trophic food webs. Theoretical Population Biology 67:85-99. 10.1016/j.tpb.2004.09.003
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[51] Cressman, R., Krivan, V., Garay, J. 2004. Ideal free distributions, evolutionary games and population dynamics in multiple species environments. The American Naturalist, 164(4):473-489.
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[52] Krivan, V. and Schmitz, O.J. 2004. Trait and density mediated indirect interactions in simple food webs. Oikos, 107:239-250.
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[53] 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.
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[54] Krivan, V., Vrkoc, I. 2004. Should handled prey be considered? Some consequences for functional response, predator-prey dynamics and optimal foraging theory. Journal of theoretical Biology, 227:167-174.. 10.1016/j.jtbi.2003.10.013
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[55] Schmitz, O. J., Krivan, V., Ovadia, O. 2004. Trophic cascades: the primacy of trait-mediated indirect interactions. Ecology Letters, 7:153-163. 10.1111/j.1461-0248.2003.00560.x
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[56] Berec, M., Krivan, V., Berec, L. 2003. Are great tits (Parus major) really optimal foragers?. Canadian Journal of Zoology 81:780-788. 10.1139/Z03-057
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[57] Bolker, B., Holyoak, M., Krivan, V., Rowe, L., Schmitz, O. 2003. Connecting theoretical and empirical studies of trait-mediated interactions. Ecology 84:1101-1114.
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[58] Colombo, G., Dai Pra, P., Krivan, V., Vrkoc, I. 2003. Stochastic processes for bounded noise. Mathematics of Control, Signals, and Systems 16:95-119. . 10.1007/s00498-003-0131-y
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[59] Krivan, V. 2003. Ideal Free Distributions when resources undergo population dynamics. Theoretical Population Biology 64:25-38.. 10.1016/S0040-5809(03)00065-0
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[60] Krivan, V. 2003. Competitive coexistence caused by adaptive predators. Evolutionary Ecology Research, 5:1163-1182..
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[61] Krivan, V., Eisner, J. 2003. Optimal foraging and predator-prey dynamics III. Theoretical Population Biology 63:269-279.. 10.1016/S0040-5809(03)00012-1
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[62] Krivan, V., Schmitz, O. J. 2003. Adaptive foraging and flexible food web topology. Evolutionary Ecology Research 5:623-652.
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[63] Rospars, J-P., Lansky, P., Krivan, V. 2003. Extracellular transduction events under pulsed stimulation in moth olfactory sensilla. Chemical Senses 28:509-522..
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[64] Krivan, V., Lansky, P., Rospars, J-P. 2002. Coding of periodic pulse stimulations in chemoreceptors. BioSystems 67:121-128.
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[65] Krivan, V., Sirot, E. 2002. Habitat selection by two competing species in a two-habitat environment. American Naturalist 160:214-234.
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[66] 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.
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[67] van Baalen, M., Krivan, V., van Rijn, P.C.J., Sabelis, M. 2001. Alternative food, switching predators, and the persistence of predator-prey systems. American Naturalist 157:512-524.
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[68] Berec, L., Krivan, V. 2000. A mechanistic model for partial preferences. Theoretical Population Biology 58:279-289. 10.1006/tpbi.2000.1491
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[69] Krivan, V. 2000. Optimal intraguild foraging and population stability. Theoretical Population Biology 58:79-94.
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[70] Krivan, V., Havelka, J. 2000. Leslie model for predatory gall-midge population. Ecological Modelling 126:73-77.
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[71] Krivan, V., Vrkoc, I. 2000. Patch choice under predation hazard. Theoretical Population Biology 58:329-340.
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[72] Krivan, V., Vrko, I. 2000. Equilibrium stability analysis of negative feedback loops in simple gene regulatory networks. Mimeo..
[73] Rospars, J-P., Krivan, V., Lansky, P. 2000. Perireceptor and receptor events in olfaction. Comparison of concentration and flux detectors: a modeling study. Chemical Senses 25:293-311.
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[74] Boukal, D., Krivan, V. 1999. Lyapunov functions for Lotka-Volterra predator-prey models with optimal foraging behavior. Journal of Mathematical Biology 39:493-517.
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[75] Krivan, V., Sikder, A. 1999. Optimal foraging and predator-prey dynamics II. Theoretical Population Biology 55:111-126.
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[76] Krivan, V. 1998. Effects of optimal antipredator behavior of prey on predator-prey dynamics: role of refuges. Theoretical Population Biology 53:131-142.
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[77] Krivan, V., Colombo, G. 1998. A non-stochastic approach for modelling uncertainty in population dynamics. Bulletin of Mathematical Biology 60:721-751.
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[78] Krivan, V. 1997. Dynamic ideal free distribution: effects of optimal patch choice on predator-prey dynamics. American Naturalist 149:164-178.
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[79] Krivan, V. 1997. Dynamical consequences of host-feeding on parasitoid-host dynamics. Bulletin of Mathematical Biology 59:809-831.
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[80] 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.
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[81] Sirot, E., Krivan, V. 1997. Adaptive superparasitsm and host-parasitoid dynamics. Bulletin of Mathematical Biology 59:23-42.
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[82] Krivan, V. 1996. Optimal foraging and predator-prey dynamics. Theoretical Population Biology 49:265-290.
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[83] Kastner-Maresch, A., Krivan, V. 1995. Modelling food preferences and viability constraints. Journal of Biological Systems 3:313-322.
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[84] 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.
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[85] 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..
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[86] Colombo, G., Krivan, V. 1994. Robustness of viability controllers under small perturbations. Journal of Optimization, Theory and Applications 83:207-215.
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[87] Antonelli, P., Bradbury, R., Krivan, V., Shimada, H. 1993. A dynamical theory of heterochrony: time-sequencing changes in ecology, development and evolution. Journal of Biological Systems 1:451-487.
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[88] Antonelli, P., Krivan, V. 1993. Large amplitude periodic fluctuations in starfish-coral dynamics. Ecological Modelling 67:251-257.
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[89] Colombo, G., Krivan, V. 1993. A viability algorithm. Journal of Differential Equations 102:236-243.
[90] Colombo, R., Krivan, V. 1993. Selective strategies in food webs. IMA Journal of Mathematics Applied in Medicine and Biology 10:281-291.
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[91] Krivan, V. 1993. Projection of differential inclusions. Pages 119-130 in A. Kurzhanski, V. Veliov, eds. Set-Valued Analysis and Differential Inclusions. Birkhauser, Boston .
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[92] 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.
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[93] Colombo, G., Krivan, V. 1992. Fuzzy differential inclusions and nonprobabilistic likelihood. Dynamic Systems and Applications 1:419-440.
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[94] Krivan, V., Vrkoc, I. 1992. Continuous and Lipschitzian selections from measurable set valued map. Journal of Mathematical Analysis and Applications 166:582-590.
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[95] Krivan, V. 1991. Construction of population growth equations in the presence of viability constraints. Journal of Mathematical Biology 29:379-387.
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[96] Krivan, V. 1991. Perturbation of viability problem. Journal of Mathematical Analysis and Applications 155:131-139.
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[97] Krivan, V. 1991. On the intersection of contingent cones. Journal of Optimization Theory and Applications 10:395-402.
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[98] Krivan, V. 1990. What is viability theory (In Czech). Pokroky matematiky, fyziky a astronomie 35:113-120.
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[99] Krivan, V., Vrkoc, I. 1990. Absolutely continuous selections from absolutely continuous set valued map. Czechoslovak Mathematical Journal 40:503-513.
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[100] Krivan, V., Seda, J. 1989. Application of guaranteed regression model to trophic interaction in aquatic systems. Ecological Modelling 49:1-6 .
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[101] Krivan, V., Lhotka, L. 1988. Matematické modely v ekologii (Dynamic models in ecology). Vesmír 67:208-211.
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