Edit Profile (opens in new tab) Křivan, Vlastimil Co-Author Distance Author ID: krivan.vlastimil Published as: Křivan, Vlastimil; Křivan, V. Homepage: http://www.entu.cas.cz/krivan/ External Links: ORCID Documents Indexed: 56 Publications since 1990 3 Contributions as Editor Reviewing Activity: 107 Reviews Co-Authors: 27 Co-Authors with 43 Joint Publications 926 Co-Co-Authors all top 5 Co-Authors 16 single-authored 10 Cressman, Ross 7 Vrkoč, Ivo 5 Colombo, Giovanni 4 Broom, Mark 3 Eisner, Jan 3 Revilla, Tomás A. 2 Berec, Luděk 2 Riedel, Frank 2 Sirot, Etienne 1 Akimenko, Vitalii V. 1 Antonelli, Peter Louis 1 Bentz, Barbara J. 1 Bewick, Sharon 1 Boukal, David S. 1 Colombo, Rinaldo M. 1 Dai Pra, Paolo 1 Diehl, Sebastian 1 Galanthay, Theodore E. 1 Jana, Debaldev 1 Lenhart, Suzanne M. 1 Lewis, Mark Alun 1 Liebhold, Andrew M. 1 Priyadarshi, Anupam 1 Schneider, Candace 1 Sikder, Asim 1 Xu, Fei 1 Zaccour, Georges all top 5 Serials 18 Journal of Theoretical Biology 13 Theoretical Population Biology 5 Journal of Mathematical Biology 3 Bulletin of Mathematical Biology 2 Journal of Mathematical Analysis and Applications 2 Mathematical Biosciences 2 Journal of Optimization Theory and Applications 2 Dynamic Games and Applications 1 Applied Mathematics and Computation 1 Czechoslovak Mathematical Journal 1 Journal of Differential Equations 1 IMA Journal of Mathematics Applied in Medicine and Biology 1 MCSS. Mathematics of Control, Signals, and Systems 1 Dynamic Systems and Applications 1 Pokroky Matematiky, Fyziky & Astronomie 1 Open Systems & Information Dynamics 1 Discrete and Continuous Dynamical Systems. Series B 1 Annals of the International Society of Dynamic Games 1 Journal of Dynamics and Games all top 5 Fields 46 Biology and other natural sciences (92-XX) 18 Ordinary differential equations (34-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Probability theory and stochastic processes (60-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 47 Publications have been cited 524 times in 330 Documents Cited by ▼ Year ▼ Effects of optimal antipredator behavior of prey on predator-prey dynamics: The role of refuges. Zbl 0945.92021Křivan, Vlastimil 64 1998 On the Gause predator-prey model with a refuge: a fresh look at the history. Zbl 1331.92128Křivan, Vlastimil 52 2011 Optimal foraging and predator-prey dynamics. Zbl 0870.92019Křivan, Vlastimil 51 1996 The ideal free distribution: a review and synthesis of the game-theoretic perspective. Zbl 1210.92053Křivan, Vlastimil; Cressman, Ross; Schneider, Candace 38 2008 Optimal foraging and predator-prey dynamics. II. Zbl 0920.92031Křivan, Vlastimil; Sikder, Asim 30 1999 Lyapunov functions for Lotka-Volterra predator-prey models with optimal foraging behavior. Zbl 0976.92021Boukal, David S.; Křivan, Vlastimil 29 1999 The effect of the Holling type II functional response on apparent competition. Zbl 1112.92063Křivan, Vlastimil; Eisner, Jan 20 2006 Adaptive omnivory and species coexistence in tri-trophic food webs. Zbl 1072.92052Křivan, Vlastimil; Diehl, Sebastian 18 2005 Selective strategies in food webs. Zbl 0807.92025Colombo, Rinaldo M.; Křivan, Vlastimil 18 1993 Interaction times change evolutionary outcomes: two-player matrix games. Zbl 1368.91032Křivan, Vlastimil; Cressman, Ross 16 2017 Optimal foraging and predator-prey dynamics. III. Zbl 1098.92064Křivan, Vlastimil; Eisner, Jan 16 2003 Two-patch population models with adaptive dispersal: the effects of varying dispersal speeds. Zbl 1272.34060Cressman, Ross; Křivan, Vlastimil 14 2013 Behavioral refuges and predator-prey coexistence. Zbl 1411.92250Křivan, Vlastimil 14 2013 Bimatrix games that include interaction times alter the evolutionary outcome: the owner-intruder game. Zbl 1406.91030Cressman, Ross; Křivan, Vlastimil 13 2019 Optimal intraguild foraging and population stability. Zbl 1037.92040Křivan, Vlastimil 11 2000 A non-stochastic approach for modeling uncertainty in population dynamics. Zbl 0980.92028Křivan, Vlastimil; Colombo, Giovanni 11 1998 Effects of animal dispersal on harvesting with protected areas. Zbl 1405.92292Křivan, Vlastimil; Jana, Debaldev 9 2015 Ideal free distributions when resources undergo population dynamics. Zbl 1103.92045Křivan, Vlastimil 8 2003 Adaptive superparasitism and host-parasitoid dynamics. Zbl 0903.92026Sirot, E.; Křivan, V. 7 1997 A mechanistic model for partial preferences. Zbl 1037.92048Berec, Luděk; Křivan, Vlastimil 7 2000 Searching for food or hosts: The influence of parasitoids behavior on host-parasitoid dynamics. Zbl 0883.92028Křivan, Vlastimil; Sirot, Etienne 6 1997 Beyond replicator dynamics: from frequency to density dependent models of evolutionary games. Zbl 1406.91041Křivan, Vlastimil; Galanthay, Theodore E.; Cressman, Ross 6 2018 Dynamical consequences of optimal host feeding on host-parasitoid population dynamics. Zbl 0897.92035Křivan, Vlastimil 5 1997 Fuzzy differential inclusions and nonprobabilistic likelihood. Zbl 0769.34015Colombo, Giovanni; Křivan, Vlastimil 5 1992 Reducing courtship time promotes marital bliss: the battle of the sexes game revisited with costs measured as time lost. Zbl 1453.92216Cressman, Ross; Křivan, Vlastimil 5 2020 Revisiting the “fallacy of averages” in ecology: expected gain per unit time equals expected gain divided by expected time. Zbl 1422.92184Broom, Mark; Cressman, Ross; Křivan, Vlastimil 5 2019 Asymptotic stability of delayed consumer age-structured population models with an Allee effect. Zbl 1409.92186Akimenko, Vitalii; Křivan, Vlastimil 4 2018 Evolutionary stability of optimal foraging: partial preferences in the diet and patch models. Zbl 1414.92219Křivan, Vlastimil 4 2010 Construction of population growth equations in the presence of viability constraints. Zbl 0721.92016Křivan, V. 4 1991 Fuzzy differential inclusions as substitutes for stochastic differential equations in population biology. Zbl 0896.92026Antonelli, Peter L.; Křivan, Vlastimil 3 1992 Evolution of mobility in predator-prey systems. Zbl 1327.92051Xu, Fei; Cressman, Ross; Křivan, Vlastimil 3 2014 The ideal free distribution and bacterial growth on two substrates. Zbl 1162.92331Křivan, Vlastimil 3 2006 Adaptive foraging does not always lead to more complex food webs. Zbl 1407.92138Berec, Luděk; Eisner, Jan; Křivan, Vlastimil 3 2010 L-shaped prey isocline in the Gause predator-prey experiments with a prey refuge. Zbl 1337.92181Křivan, Vlastimil; Priyadarshi, Anupam 2 2015 Asymptotic stability of tri-trophic food chains sharing a common resource. Zbl 1364.92034Vrkoč, Ivo; Křivan, Vlastimil 2 2015 A Lyapunov function for piecewise-independent differential equations: stability of the ideal free distribution in two patch environments. Zbl 1115.92058Křivan, Vlastimil; Vrkoč, Ivo 2 2007 The Allee-type ideal free distribution. Zbl 1307.92327Křivan, Vlastimil 2 2014 Two-strategy games with time constraints on regular graphs. Zbl 1455.91044Broom, Mark; Křivan, Vlastimil 2 2020 Competition, trait-mediated facilitation, and the structure of plant-pollinator communities. Zbl 1400.92337Revilla, Tomás A.; Křivan, Vlastimil 2 2018 Competition in di- and tri-trophic food web modules. Zbl 1411.92312Křivan, Vlastimil 2 2014 Should “handled” prey be considered? Some consequences for functional response, predator-prey dynamics and optimal foraging theory. Zbl 1439.92159Křivan, Vlastimil; Vrkoč, Ivo 2 2004 Absolutely continuous selections from absolutely continuous set valued map. Zbl 0743.28005Křivan, Vlastimil; Vrkoč, Ivo 1 1990 Patch choice under predation hazard. Zbl 1039.92038Křivan, Vlastimil; Vrkoč, Ivo 1 2000 Perturbation of viability problem. Zbl 0712.93028Křivan, Vlastimil 1 1991 Plant coexistence mediated by adaptive foraging preferences of exploiters or mutualists. Zbl 1420.92072Křivan, Vlastimil; Revilla, Tomás A. 1 2019 Prey-predator dynamics with adaptive protection mutualism. Zbl 1510.92182Revilla, Tomás A.; Křivan, Vlastimil 1 2022 A dynamical model for bark beetle outbreaks. Zbl 1344.92169Křivan, Vlastimil; Lewis, Mark; Bentz, Barbara J.; Bewick, Sharon; Lenhart, Suzanne M.; Liebhold, Andrew 1 2016 Prey-predator dynamics with adaptive protection mutualism. Zbl 1510.92182Revilla, Tomás A.; Křivan, Vlastimil 1 2022 Reducing courtship time promotes marital bliss: the battle of the sexes game revisited with costs measured as time lost. Zbl 1453.92216Cressman, Ross; Křivan, Vlastimil 5 2020 Two-strategy games with time constraints on regular graphs. Zbl 1455.91044Broom, Mark; Křivan, Vlastimil 2 2020 Bimatrix games that include interaction times alter the evolutionary outcome: the owner-intruder game. Zbl 1406.91030Cressman, Ross; Křivan, Vlastimil 13 2019 Revisiting the “fallacy of averages” in ecology: expected gain per unit time equals expected gain divided by expected time. Zbl 1422.92184Broom, Mark; Cressman, Ross; Křivan, Vlastimil 5 2019 Plant coexistence mediated by adaptive foraging preferences of exploiters or mutualists. Zbl 1420.92072Křivan, Vlastimil; Revilla, Tomás A. 1 2019 Beyond replicator dynamics: from frequency to density dependent models of evolutionary games. Zbl 1406.91041Křivan, Vlastimil; Galanthay, Theodore E.; Cressman, Ross 6 2018 Asymptotic stability of delayed consumer age-structured population models with an Allee effect. Zbl 1409.92186Akimenko, Vitalii; Křivan, Vlastimil 4 2018 Competition, trait-mediated facilitation, and the structure of plant-pollinator communities. Zbl 1400.92337Revilla, Tomás A.; Křivan, Vlastimil 2 2018 Interaction times change evolutionary outcomes: two-player matrix games. Zbl 1368.91032Křivan, Vlastimil; Cressman, Ross 16 2017 A dynamical model for bark beetle outbreaks. Zbl 1344.92169Křivan, Vlastimil; Lewis, Mark; Bentz, Barbara J.; Bewick, Sharon; Lenhart, Suzanne M.; Liebhold, Andrew 1 2016 Effects of animal dispersal on harvesting with protected areas. Zbl 1405.92292Křivan, Vlastimil; Jana, Debaldev 9 2015 L-shaped prey isocline in the Gause predator-prey experiments with a prey refuge. Zbl 1337.92181Křivan, Vlastimil; Priyadarshi, Anupam 2 2015 Asymptotic stability of tri-trophic food chains sharing a common resource. Zbl 1364.92034Vrkoč, Ivo; Křivan, Vlastimil 2 2015 Evolution of mobility in predator-prey systems. Zbl 1327.92051Xu, Fei; Cressman, Ross; Křivan, Vlastimil 3 2014 The Allee-type ideal free distribution. Zbl 1307.92327Křivan, Vlastimil 2 2014 Competition in di- and tri-trophic food web modules. Zbl 1411.92312Křivan, Vlastimil 2 2014 Two-patch population models with adaptive dispersal: the effects of varying dispersal speeds. Zbl 1272.34060Cressman, Ross; Křivan, Vlastimil 14 2013 Behavioral refuges and predator-prey coexistence. Zbl 1411.92250Křivan, Vlastimil 14 2013 On the Gause predator-prey model with a refuge: a fresh look at the history. Zbl 1331.92128Křivan, Vlastimil 52 2011 Evolutionary stability of optimal foraging: partial preferences in the diet and patch models. Zbl 1414.92219Křivan, Vlastimil 4 2010 Adaptive foraging does not always lead to more complex food webs. Zbl 1407.92138Berec, Luděk; Eisner, Jan; Křivan, Vlastimil 3 2010 The ideal free distribution: a review and synthesis of the game-theoretic perspective. Zbl 1210.92053Křivan, Vlastimil; Cressman, Ross; Schneider, Candace 38 2008 A Lyapunov function for piecewise-independent differential equations: stability of the ideal free distribution in two patch environments. Zbl 1115.92058Křivan, Vlastimil; Vrkoč, Ivo 2 2007 The effect of the Holling type II functional response on apparent competition. Zbl 1112.92063Křivan, Vlastimil; Eisner, Jan 20 2006 The ideal free distribution and bacterial growth on two substrates. Zbl 1162.92331Křivan, Vlastimil 3 2006 Adaptive omnivory and species coexistence in tri-trophic food webs. Zbl 1072.92052Křivan, Vlastimil; Diehl, Sebastian 18 2005 Should “handled” prey be considered? Some consequences for functional response, predator-prey dynamics and optimal foraging theory. Zbl 1439.92159Křivan, Vlastimil; Vrkoč, Ivo 2 2004 Optimal foraging and predator-prey dynamics. III. Zbl 1098.92064Křivan, Vlastimil; Eisner, Jan 16 2003 Ideal free distributions when resources undergo population dynamics. Zbl 1103.92045Křivan, Vlastimil 8 2003 Optimal intraguild foraging and population stability. Zbl 1037.92040Křivan, Vlastimil 11 2000 A mechanistic model for partial preferences. Zbl 1037.92048Berec, Luděk; Křivan, Vlastimil 7 2000 Patch choice under predation hazard. Zbl 1039.92038Křivan, Vlastimil; Vrkoč, Ivo 1 2000 Optimal foraging and predator-prey dynamics. II. Zbl 0920.92031Křivan, Vlastimil; Sikder, Asim 30 1999 Lyapunov functions for Lotka-Volterra predator-prey models with optimal foraging behavior. Zbl 0976.92021Boukal, David S.; Křivan, Vlastimil 29 1999 Effects of optimal antipredator behavior of prey on predator-prey dynamics: The role of refuges. Zbl 0945.92021Křivan, Vlastimil 64 1998 A non-stochastic approach for modeling uncertainty in population dynamics. Zbl 0980.92028Křivan, Vlastimil; Colombo, Giovanni 11 1998 Adaptive superparasitism and host-parasitoid dynamics. Zbl 0903.92026Sirot, E.; Křivan, V. 7 1997 Searching for food or hosts: The influence of parasitoids behavior on host-parasitoid dynamics. Zbl 0883.92028Křivan, Vlastimil; Sirot, Etienne 6 1997 Dynamical consequences of optimal host feeding on host-parasitoid population dynamics. Zbl 0897.92035Křivan, Vlastimil 5 1997 Optimal foraging and predator-prey dynamics. Zbl 0870.92019Křivan, Vlastimil 51 1996 Selective strategies in food webs. Zbl 0807.92025Colombo, Rinaldo M.; Křivan, Vlastimil 18 1993 Fuzzy differential inclusions and nonprobabilistic likelihood. Zbl 0769.34015Colombo, Giovanni; Křivan, Vlastimil 5 1992 Fuzzy differential inclusions as substitutes for stochastic differential equations in population biology. Zbl 0896.92026Antonelli, Peter L.; Křivan, Vlastimil 3 1992 Construction of population growth equations in the presence of viability constraints. Zbl 0721.92016Křivan, V. 4 1991 Perturbation of viability problem. Zbl 0712.93028Křivan, Vlastimil 1 1991 Absolutely continuous selections from absolutely continuous set valued map. Zbl 0743.28005Křivan, Vlastimil; Vrkoč, Ivo 1 1990 all cited Publications top 5 cited Publications all top 5 Cited by 566 Authors 43 Křivan, Vlastimil 14 Cressman, Ross 9 Xiao, Yanni 8 Huang, Lihong 7 Broom, Mark 7 Tang, Sanyi 6 Guin, Lakshmi Narayan 6 Jana, Debaldev 6 Rychtár, Jan 6 Yang, Jihua 5 Cosner, Chris 5 de Carvalho, Tiago 5 Garay, József 5 Novaes, Douglas Duarte 5 Parshad, Rana D. 4 Akimenko, Vitalii V. 4 Berec, Luděk 4 Ji, Jinchen 4 Li, Wenjie 4 Llibre, Jaume 4 Ma, Zhihui 4 Samanta, Guru Prasad 4 Vrkoč, Ivo 4 Wang, Aili 4 Wang, Jiafu 3 Abrams, Peter A. 3 Adi-Kusumo, Fajar 3 Cai, Xiushan 3 Cantrell, Robert Stephen 3 Chakravarty, Santabrata 3 Chattopadhyay, Joydev 3 Chen, Fengde 3 Eisner, Jan 3 García, Christian Cortés 3 Gonçalves, Luiz Fernando 3 Huan, Songmei 3 Kang, Yun 3 Koura, Yaya H. 3 Lou, Yuan 3 Móri, Tamás F. 3 Mukherjee, Debasis 3 Pal, Nikhil Ranjan 3 Priyadarshi, Anupam 3 Qin, Wenjie 3 Rana, Sourav 3 Revilla, Tomás A. 3 Rodríguez-López, Rosana 3 Samanta, Sudip 3 Simpson, David John Warwick 3 Teixeira, Marco Antonio 3 Wang, Shufan 3 Xu, Fei 3 Zhang, Yaming 3 Zhao, Liqin 3 Zou, Xingfu 2 Antonelli, Peter Louis 2 Antwi-Fordjour, Kwadwo 2 Bai, Yuzhen 2 Bassanezi, Rodney Carlos 2 Bhattacharyya, Joydeb 2 Bhaya, Amit 2 Chalco-Cano, Yurilev 2 Cheke, Robert A. 2 Chen, Liujuan 2 Cheng, Chang-Yuan 2 Chesson, Peter L. 2 Das, Krishnapada 2 De Barros, Laécio Carvalho 2 Dercole, Fabio 2 Djilali, Salih 2 El-Gohary, Awad I. 2 Frølich, Emil F. 2 Galanthay, Theodore E. 2 Galbusera, Luca 2 Gragnani, Alessandra 2 Guo, Zhenyuan 2 Han, Maoan 2 Han, Zhengzhi 2 Hong, Ling 2 Hossain, Mainul 2 Huang, Jun 2 Iskin da Silveira Costa, Michel 2 Jafelice, Rosana Motta 2 Jiang, Jun 2 Kar, Tapan Kumar 2 Kaszkurewicz, Eugenius 2 Kisdi, Éva 2 Kumar Upadhyay, Ranjit 2 Lewis, Mark Alun 2 Li, Wenxiu 2 Liu, Fei 2 Liu, Leipo 2 Liu, Xiaoming 2 Liu, Xinzhi 2 Maini, Philip Kumar 2 Mandal, Prashanta Kumar 2 Melin, Jan 2 Mendoza Meza, Magno Enrique 2 Messan, Komi 2 Misra, Arvind Kumar ...and 466 more Authors all top 5 Cited in 76 Serials 40 Journal of Theoretical Biology 39 Theoretical Population Biology 17 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 15 Journal of Mathematical Biology 14 Mathematical Biosciences 13 Applied Mathematics and Computation 12 Discrete and Continuous Dynamical Systems. Series B 10 Bulletin of Mathematical Biology 9 Chaos, Solitons and Fractals 9 Mathematics and Computers in Simulation 9 Nonlinear Analysis. Real World Applications 8 Mathematical Biosciences and Engineering 7 Nonlinear Dynamics 7 Abstract and Applied Analysis 6 Journal of Biological Dynamics 6 International Journal of Biomathematics 5 Fuzzy Sets and Systems 5 Discrete Dynamics in Nature and Society 5 Communications in Nonlinear Science and Numerical Simulation 5 Advances in Difference Equations 4 Journal of Differential Equations 4 Differential Equations and Dynamical Systems 4 Qualitative Theory of Dynamical Systems 4 Dynamic Games and Applications 3 Journal of the Franklin Institute 3 Journal of Biological Systems 3 Journal of Applied Mathematics and Computing 3 Mathematical Modelling of Natural Phenomena 2 Journal of Mathematical Analysis and Applications 2 Information Sciences 2 Journal of Optimization Theory and Applications 2 Bulletin des Sciences Mathématiques 2 Mathematical Problems in Engineering 2 Open Systems & Information Dynamics 2 Nonlinear Analysis. Hybrid Systems 2 International Journal of Differential Equations 2 Journal of Mathematics and Computer Science. JMCS 2 Biomath 2 Journal of Applied Nonlinear Dynamics 2 International Journal of Applied and Computational Mathematics 1 Computers & Mathematics with Applications 1 International Journal of Systems Science 1 Nonlinearity 1 Physica A 1 Physics Letters. A 1 Physics Reports 1 Ukrainian Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Systems & Control Letters 1 Circuits, Systems, and Signal Processing 1 Physica D 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 European Journal of Applied Mathematics 1 Automation and Remote Control 1 Proceedings of the National Academy of Sciences of the United States of America 1 Computational and Applied Mathematics 1 Complexity 1 Journal of Difference Equations and Applications 1 Chaos 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Nonlinear Analysis. Modelling and Control 1 Mathematical Modelling and Analysis 1 Dynamical Systems 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Communications on Pure and Applied Analysis 1 SIAM Journal on Applied Dynamical Systems 1 Boundary Value Problems 1 Science China. Mathematics 1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 1 Journal of Dynamics and Games 1 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 AIMS Mathematics all top 5 Cited in 22 Fields 266 Biology and other natural sciences (92-XX) 140 Ordinary differential equations (34-XX) 62 Dynamical systems and ergodic theory (37-XX) 54 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 29 Systems theory; control (93-XX) 22 Partial differential equations (35-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 15 Numerical analysis (65-XX) 5 Probability theory and stochastic processes (60-XX) 4 Difference and functional equations (39-XX) 3 Real functions (26-XX) 2 Integral equations (45-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year