Publications

ORCID ID 0000-0002-7795-7842 

Articles  

1. Kalmykov, V. L. & Kalmykov, L. V. Individual-based modeling of direct and indirect competition by the glass-box artificial intelligence. Chaos, Solitons & Fractals 201, 117239 (2025). doi: https://doi.org/https://doi.org/10.1016/j.chaos.2025.117239

URL providing 50 days' free access : https://authors.elsevier.com/c/1lniF3QI~FhLGi

2. Kalmykov, V. L. & Kalmykov, L. V.  Towards eXplicitly eXplainable Artificial Intelligence, Information Fusion, 123, 103352. doi: https://doi.org/10.1016/j.inffus.2025.103352 (2025)

3. Kalmykov, V. L. & Kalmykov, L. V. Manifesto for transparent mathematical modeling: from ecology to general science, Academia Biology, 2(1) https://doi.org/10.20935/AcadBiol6166 (2024)

4. Kalmykov, L. V. & Kalmykov, V. L. A solution to the dilemma `limiting similarity vs. limiting dissimilarity' by a method of transparent artificial intelligence. Chaos, Solitons & Fractals 146, 110814, https://doi.org/10.1016/j.chaos.2021.110814 (2021)

5. Kalmykov L. V., Kalmykov A. V. & Kalmykov V. L. (2017) Axiomatic Cellular Automata Modelling as a Promising Way to A General Theory of Ecological Physics. MOJ Eco Environ Sci 2(1): 00014. URL: http://medcraveonline.com/MOJES/MOJES-02-00014.pdf 

6. Kalmykov, V. L. & Kalmykov, L. V. On ecological modelling problems in the context of resolving the biodiversity paradox. Ecological Modelling 329, 1-4, doi:http://dx.doi.org/10.1016/j.ecolmodel.2016.03.005 (2016)

7. Kalmykov, L. V. & Kalmykov, V. L. Investigation of individual-based mechanisms of single-species population dynamics by logical deterministic cellular automata. Computer Research and Modeling, 2015, vol. 7, no. 6, pp. 1279-1293. http://crm-en.ics.org.ru/journal/article/2402/ (Open access, main text in Russian)

8. Kalmykov, L. V. & Kalmykov, V. L. A Solution to the Biodiversity Paradox by Logical Deterministic Cellular Automata. Acta Biotheoretica, doi:http://dx.doi.org/10.1007/s10441-015-9257-9 (2015)

9. Kalmykov, L. V. & Kalmykov, V. L. A white-box model of S-shaped and double S-shaped single-species population growth. PeerJ 3, e948, doi:http://dx.doi.org/10.7717/peerj.948 (2015)

10. Kalmykov, L. V. & Kalmykov, V. L. Verification and reformulation of the competitive exclusion principle. Chaos, Solitons & Fractals 56, 124-131,  doi:http://dx.doi.org/10.1016/j.chaos.2013.07.006 (2013)

Conference Proceedings

1. Kalmykov, L. V. & Kalmykov, V. L. A solution to the dilemma `limiting similarity vs. limiting dissimilarity' by a method of transparent artificial intelligence. Materials of the conference "Theoretical and experimental biophysics".  - Pushchino,  February 8-10, 2022. - P. 43. ISBN 978-5-91874-908-1 

2. Kalmykov V.L., Kalmykov L.V. A methodology of transparent mathematical modelling of complex processes for automatic integration of the action space in the military and civil spheres // Collection of articles of the II All-Russian Scientific and Technical Conference "State and Prospects for the Development of Modern Science in the direction of "Informatics and computer technology ", Federal State Autonomous Institution "Military Innovative Technopolis "ERA", Anapa, February 27-28, 2020 / Ed. Gusenica Ya. N. - T. 2. State and prospects of development of mathematical and computer modeling of complex processes in military and dual-use systems - Anapa: Federal State Autonomous Institution "Military Innovative Technopolis" ERA ", 2020. - P. 175-186. [Plenary talk]

3. Kalmykov V.L., Kalmykov L.V. Transparent modeling of complex dynamic systems for safe artificial intelligence // Collection of articles of the conference "State and prospects of modern science in the direction of "ACS, information and communication systems”. Federal State Autonomous Institution "Military Innovative Technopolis "ERA", Anapa, August 22-23, 2019. - P.  181-188. [Section report]

4. Kalmykov V.L., Kalmykov L.V. Cellular automata modelling of mechanisms of competition of two biological species as a prototype of automatic control in the tactical link // Collection of articles of the conference "State and prospects of modern science in the direction of "ACS, information and communication systems ". Federal State Autonomous Institution "Military Innovative Technopolis "ERA", Anapa, August 22-23, 2019. - P. 400-404.

5. Kalmykov V.L., Kalmykov L.V. Cellular-automatic model of the process of cell malignancy. BIOLOGY - SCIENCE OF THE XXI CENTURY: 23rd International Pushchino School-Conference of Young Scientists, (Pushchino, April 15-19, 2019). Collection of abstracts, Pushchino, 2019, p. 409.

6. Kalmykov L.V., Kalmykov V.L. Coexistence of complete competitors with fitness inequality, competitive exclusion and neutrality in one model. BIOLOGY - SCIENCE OF THE XXI CENTURY: 22nd International Pushchino School-Conference of Young Scientists, (Pushchino, April 23-27, 2018). Collection of abstracts, p. 391.

7. Kalmykov L.V., Kalmykov A.V., Kalmykov V.L. Investigation of individual-based mechanisms of coexistence of 2, 3 and 4 species competing for one limited resource. Materials of the conference "Theoretical and Experimental Biophysics" (Pushchino, February 7-9, 2018). Collection of abstracts, p. 8.

8. Kalmykov L.V., Kalmykov V.L. From cellular automata games of the ancient world to the future white-box modelling of complex systems. Materials of the conference "Theoretical and Experimental Biophysics" (Pushchino, February 7-9, 2018). Collection of abstracts, p. 9.

9. Kalmykov V. L., Kalmykov L. V. Axiomatic modelling of complex systems based on cellular automata. Materials of the All-Russian Conference with international participation "Knowledge - Ontology - Theory", Vol. 1, P. 168-171, 2-6 October 2017, Novosibirsk (an article in the conference materials, an oral report).

10. Kalmykov L. V., Kalmykov V. L. On the possibility of creating an automatic control system in the tactical military unit. In the proceedings of the XXIV International Conference "Problems of Security Management of Complex Systems". Moscow, December, 2016 / Ed. N.I. Arkhipova and V.V. Culba. Moscow: RGGU, 2016, P. 283-286.

11. Kalmykov L. V., Kalmykov A. V. & Kalmykov V. L. Investigation of the effect of differences in fitness on the outcome of competition of two species (cellular-automata model). The 20th INTERNATIONAL PUSHCHINO SCHOOL CONFERENCE OF YOUNG SCIENTISTS “BIOLOGY – THE SCIENCE OF THE XXI CENTURY”, Pushchino, 2016, P. 385-386.

12. Kalmykov V. L., Kalmykov L. V. About the prospects of creating a friendly artificial intelligence based on machines of automatic hyper-logical inference. In the proceedings of the XXIII International Conference "Problems of Security Management of Complex Systems". Moscow, December, 2015 / Edited by. N.I. Arkhipova and V.V. Culba. Moscow: RGGU, 2015. 502 p. - P. 239-242; (oral report).

13. Kalmykov V. L., Kalmykov L. V. Automatic deductive inference - a promising basis for safe artificial intelligence. All-Russian Conference with international participation "Knowledge - Ontology - Theory", 2-6 October 2017, Novosibirsk (an oral report without abstracts).

14. Kalmykov L. V., Kalmykov V. L. (2015) Verification of the competitive exclusion principle by logical deterministic individual-based cellular automata, International Conference of Young Scientists: “Experimental and Theoretical Biophysics”, p.129, Pushchino (in Russian). 

15. Kalmykov L. V., Kalmykov V. L. (2015) Individual-based mechanism of soliton-like propagation of population autowaves of different species (cellular-automata model), International Conference of Young Scientists: “Experimental and Theoretical Biophysics”, p.128, Pushchino (in Russian). 

16. Kalmykov L. V., Kalmykov V. L. (2015) Individual-based mechanisms of origin of S-shaped and double S-shaped population curves (cellular-automata models), International Conference of Young Scientists: “Experimental and Theoretical Biophysics”, pp.127-128, Pushchino (in Russian). 

17. Kalmykov L. V. & Kalmykov V. L. (2014) The dark side of theoretical ecology. International Conference of Young Scientists: “Experimental and Theoretical Biophysics” (book of abstracts) p.141, Pushchino (in Russian). 

18. Kalmykov L. V. & Kalmykov V. L. (2014) About new application possibilities of cellular automata models of complex systems. V International Conf.: "Mathematical Biology and Bioinformatics" pp. 105-106, Pushchino (in Russian).

19. Kalmykov L. V. & Kalmykov V. L. (2014) On a solution of the biodiversity paradox. The 18th INTERNATIONAL PUSHCHINO SCHOOL CONFERENCE OF YOUNG SCIENTISTS “BIOLOGY – THE SCIENCE OF THE XXI CENTURY”, Pushchino.

20. Kalmykov L. V. & Kalmykov V. L. (2013) Logical cellular automata models of population and ecosystem dynamics. The 17th INTERNATIONAL PUSHCHINO SCHOOL CONFERENCE OF YOUNG SCIENTISTS “BIOLOGY – THE SCIENCE OF THE XXI CENTURY”, Pushchino. 

21. Kalmykov V. L., Kornilov V. V., Radzion A. A., Kolpakov I. M., Senin A. A., Kosarskii A. L., Veretin A. S., Goriacheva N. Yu., Kruglushkin V. V., Tumanov A.V., Kalmykov L. V., & Kalmykov A. V. (2006) Biological organisms, geometric fractals and cellular automata: genetic analogies. in Proceedings of the online conference "Computer applications in fundamental and applied chemistry, biology, pharmacy, medicine" (IVTN-2006),  pp 1 - 9. (in Russian) http://www.ivtn.ru/2006/biomedchem/enter/paper.php?p=519

Preprints

1. Kalmykov L. V., Kalmykov V. L. A solution to the biodiversity paradox by logical deterministic cellular automata. Available from bioRxiv: http://dx.doi.org/10.1101/006817  (2014)

2. Kalmykov L. V., Kalmykov V. L. On a solution of the biodiversity paradox and a competitive coexistence principle. Available from bioRxiv:  http://dx.doi.org/10.1101/003095 (2014)

3. Kalmykov L. V., Kalmykov V. L. A mechanistic verification of the competitive exclusion principle. Available from arXiv < http://arxiv.org/abs/1211.1869 > (2012)

4. Kalmykov, L., Kalmykov, V. Strong and weak competitors can coexist in the same niche. Nat Prec (2012). https://doi.org/10.1038/npre.2012.7107.2 

5. Kalmykov, L., Kalmykov, V. A unified mechanistic model of niche, neutrality and violation of the competitive exclusion principle. Nat Prec (2012). https://doi.org/10.1038/npre.2012.7089.1 

6. Kalmykov, L., Kalmykov, V. Mechanistic mechanisms of competition and biodiversity . Nat Prec (2012). https://doi.org/10.1038/npre.2012.7105.1 

7. Kalmykov, L., Kalmykov, V. Inter-Tunneling Mechanism of Colliding Population Waves. Nat Prec (2012). https://doi.org/10.1038/npre.2012.6990.1 

8. Kalmykov, L., Kalmykov, V. Strong violation of the competitive exclusion principle . Nat Prec (2011). https://doi.org/10.1038/npre.2011.6667.1 

9. Kalmykov, L., Kalmykov, V. Deterministic individual-based cellular automata modelling of single species population dynamics. Nat Prec (2011). https://doi.org/10.1038/npre.2011.6661.1 

Discussions

1. Kalmykov V. L., Kalmykov L. V. Why the neutral models cannot provide a real mechanistic insight into biodiversity. Cell Press Discussions < http://news.cell.com/discussions/trends-in-ecology-and-evolution/ecological-neutral-theory-useful-model-or-statement-of-ignorance#comment-908501190 > (2013) 

2. Kalmykov L. V., Kalmykov V. L. On the coherence problem with UNTB: A mechanistic null model of interspecific competition. Cell Press Discussions < http://news.cell.com/discussions/trends-in-ecology-and-evolution/ecological-neutral-theory-useful-model-or-statement-of-ignorance#comment-824262233 > (2013) 

3. Kalmykov V. L., Kalmykov L. V. Understanding of neutrality instead of biodiversity understanding: a response to Rosindell et al. Cell Press Discussions < http://news.cell.com/discussions/trends-in-ecology-and-evolution/ecological-neutral-theory-useful-model-or-statement-of-ignorance#comment-723468374 > (2012)