IME I PREZIME: Esmir Pilav
AKADEMSKO ZVANJE: Redovni profesor
BROJ TELEFONA: ++ 387 33 279 935
BROJ KABINETA: 447
E-MAIL: esmir.pilav@pmf.unsa.ba, esmirpilav@gmail.com
KONSULTACIJE: Ponedjeljak: 08:00 – 09:00, Srijeda: 08:00 – 10:00, Petak: 08:00 – 10:00
Obrazovanje
- Doktor matematičkih nauka, 2011, Odsjek za matematiku, Prirodno-matematički fakultet Univerzitet u Sarajevu
- Magistar matematičkih nauka, 2009, Odsjek za matematiku, Prirodno-matematički fakultet Univerzitet u Sarajevu
- Diplomirani matematičar-informatičar, 2004, Odsjek za matematiku, Prirodno-matematički fakultet Univerzitet u Sarajevu
Akademsko iskustvo
- 2020- Prodekan za opće poslove i finansije
- 2015. – 2020. Šef Odsjeka za matematiku
- 2018.- do danas redovni profesor na Odsjeku za matematiku Prirodno-matematičkog fakulteta Univerziteta u Sarajevu
- 2015. – 2018 vanredni profesor na Odsjeku za matematiku Prirodno-matematičkog fakulteta Univerziteta u Sarajevu
- 2011. – 2015. docent na Odsjeku za matematiku Prirodno-matematičkog fakulteta Univerziteta u Sarajevu
- 2009. – 2011. viši asistent na Odsjeku za matematiku Prirodno-matematičkog fakulteta Univerziteta u Sarajevu
- 2004. – 2009. asistent na Odsjeku za matematiku Prirodno-matematičkog fakulteta Univerziteta u Sarajevu
Naučni radovi
- E. Bešo, Dž. Drino, S. Kalabušić, D. Kovačević and E. Pilav, Stability and bifurcations of a host-parasitoid model with general host escape function and general stocking upon parasitoids, International Journal of Biomathematics, 2024. (prihvaćen za objavljivanje)
- E. Bešo, S. Kalabušić and E. Pilav, Food-limited plant–herbivore model: Bifurcations, persistence, and stability, Mathematical Biosciences, Volume 370, 2024, 109157, ISSN 0025-5564, https://doi.org/10.1016/j.mbs.2024.109157. (https://www.sciencedirect.com/science/article/pii/S0025556424000178)
- E. Bešo, S. Kalabušić and E. Pilav, Dynamics of the discrete-time Rosenzweig-MacArthur predator-prey system in the closed positively invariant set, Computational and Applied Mathematics, (2023), (to appear)
- E. Bešo, A. Bilgin, S. Kalabušić and E. Pilav, Dynamics of a plant-herbivore model subject to allee effects with logistic growth of plant biomass, International Journal of Bifurcation and Chaos, (2023), (to appear)
- E. Bešo, S. Kalabušić and E. Pilav, Dynamics of a plant-herbivore system with Ricker plant growth and the strong Allee effects on plant populatio, Discrete and Continuous Dynamical Systems Series B (DCDS-B), AIMS, 2023, https://doi:10.3934/dcdsb.2023108
- Kalabušić, S., Pilav, E.,The behavior of a host-parasitoid model with host logistic growth and proportional refuge, International Journal of Biomathematics, (2023), https://doi.org/10.1142/S1793524523500432
- Kalabušić S., Drino, Dž., Pilav, E. (2023). Bifurcation and Stability of a Ricker Host-Parasitoid Model with a Host Constant Refuge and General Escape Function. In: Elaydi, S., Kulenović, M.R.S., Kalabušić, S. (eds) Advances in Discrete Dynamical Systems, Difference Equations and Applications. ICDEA 2021. Springer Proceedings in Mathematics & Statistics, vol 416. Springer, Cham. https://doi.org/10.1007/978-3-031-25225-9_12
- Kalabušić, S., Pilav, E.The behavior of a class host-parasitoid models with host refuge and strong Allee effect upon the host population, Journal of Biological Systems, (2023), https://doi.org/10.1142/S0218339023500274
- Kalabušić, S., Pilav, E. Global behavior of a class of discrete epidemiological SI models with constant recruitment of susceptibles. Journal of Difference Equations and Applications, (2022), 28:2, 259-288, DOI: 10.1080/10236198.2022.2042277
- Kalabušić, S., Pilav, E. Bifurcations, Permanence and Local Behavior of the Plant-Herbivore Model with Logistic Growth of Plant Biomass. Qual. Theory Dyn. Syst. 21, 26 (2022). https://doi.org/10.1007/s12346-022-00561-6
- S. Kalabušić and E. Pilav, Stability of the May's host-parasitoid model with variable stocking upon parasitoids, International Journal of Biomathematics, Vol. 15, No. 02, 2150072 (2022), https://doi.org/10.1142/S1793524521500728
- M. R. S. Kulenović, Connor O'Loughlin and Esmir Pilav, The Neimark-Sacker bifurcation and global stability of perturbation of sigmoid Beverton-Holt difference equation, Discrete Dynamics in Nature and Society, Volume 2021, Article ID 2092709, https://doi.org/10.1155/2021/2092709
- J. Bektešević, V. Hadžiabdić, M. Mehuljić, S. Kalabušić and E. Pilav, Dynamics of a class of host-parasitoid models with external stocking upon parasitoids, Adv Differ Equ 2021, 31 (2021). https://doi.org/10.1186/s13662-020-03193-9
- S. Kalabušić, Dž. Drino and E. Pilav, Period-doubling and Neimark-Sacker bifurcations of a Beddington host-parasitoid model with a host refuge effect, International Journal of Bifurcation and Chaos, Vol. 30, No. 16, 2050254 (2020)
- M.R.S. Kulenović, Naida Mucić and Esmir Pilav, Period-Doubling and Naimark-Sacker Bifurcations of Certain Second Order Quadratic Fractional Difference Equations, International Journal of Difference Equations, Volume 15, Number 1 (2020) pages 121-152.
- S. Kalabušić, Dž. Drino and E. Pilav, Global behavior and bifurcation in a class of host-parasitoid models with a constant host refuge, Qualitative Theory of Dynamical Systems, 19, Article number: 66 (2020).
- E. Bešo, S. Kalabušić, N. Mujić and E. Pilav, Boundedness of solutions and stability of certain second-order difference equation with quadratic term Advances in Difference Equations, 2020, 19 (2020). https://doi.org/10.1186/s13662-019-2490-9.
- E. Bešo, S. Kalabušić, N. Mujić and E. Pilav, Stability of a certain class of a host-parasitoid models with a spatial refuge effect, Journal of Biological Dynamics, (2020), 14:1, 1-31, DOI: 10.1080/17513758.2019.1692916
- S. Kalabušić, E. Bešo, N. Mujić and E. Pilav, Stability analysis of a certain class of difference equations by using KAM theory, Advances in Difference Equations, 2019(1) DOI: 10.1186/s13662-019-2148-7.
- E. Bešo, S. Kalabušić, N. Mujić and E. Pilav, “Neimark-Sacker bifurcation and stability of a certain class of a host-parasitoid models with a host refuge effect”, International Journal of Bifurcation and Chaos, 29(12), 2019, DOI: 10.1142/S0218127419501694 .
- Emin Bešo. Naida Mujić, Senada Kalabušić and Esmir Pilav, Basin of attraction of the fixed point and period-two solutions of a certain anti-competitive map, Journal of Computational Analysis and Applications, 28(1):24-34, 2020.
- M. R. S. Kulenović, E. Pilav and N. Mujić, Birkhoff Normal Forms, KAM theory and continua of periodic points for certain planar system, Journal of Computational Analysis and Applications, VOL. 27, NO.3, 2019.
- A. Bilgin, M.R.S. Kulenović, A. Brett and E. Pilav, Global Dynamics of Cooperative Discrete System in the Plane, International Journal of Bifurcation and Chaos, Vol. 28, No. 7 (2018) 1830022 (17 pages), DOI: 10.1142/S0218127418300227
- S. Kalabušić, N. Mujić and E. Pilav, The Invariant Curve in a Planar System of Difference Equations, Advances in Dynamical Systems and Applications, vol. 13. no.1, 2018.
- V. Hadžiabdić, M. R. S. Kulenović and E. Pilav, Global stability of a quadratic anti-competitive system of rational difference equations in the plane with Allee effects, Journal of Computational Analysis and Applications, vol. 25, no. 6, pp. 1132–1144, 2018.
- J. Bektešević, M.R.S. Kulenović, E.Pilav, Global Dynamics of the Polynomial Second Order Difference Equation in the First Quadrant, Communications on Applied Nonlinear Analysis, vol. 24, no. 4, pp. 46–81, 2017.
- Vahidin Hadžiabdić, Mustafa R.S. Kulenović and Esmir Pilav, Bifurcation and Global Dynamics of a Leslie-Gower Type Competitive System of Rational Difference Equations with Quadratic Terms, Abstract and Applied Analysis, vol. 2017, 2017. DOI: 10.1155/2017/3104512
- T. Khyat, M.R.S. Kulenović and E. Pilav, The invariant curve caused by Neimark-Sacker bifurcation of a perturbed Beverton-Holt difference equation, International Journal of Difference Equations, ISSN 0973-6069, Volume 12, Number 2, pp. 267–280 (2017)
- T. Khyat, M.R.S Kulenović, E. Pilav, The Naimark-Sacker bifurcation and symptotic approximation of the invariant curve of a certain difference equation, Journal of Computational Analysis and Applications, vol. 23, no. 8, pp. 1335–1346, 2017.
- M.R.S Kulenović, E. Pilav, Asymptotic approximations of the stable and unstable manifolds of the fixed point of a certain rational map by using functional equation, Sarajevo Journal of Mathematics, Vol.12 (25), No.2, (2016), 233–250
- Erin Denette, Mustafa Kulenović, Esmir Pilav: “Birkhoff Normal Forms, KAM Theory and Time Reversal Symmetry for Certain Rational Map”, Mathematics 03/2016; 4(1):20. DOI:10.3390/math4010020
- Arzu Bilgin, Mustafa R.S. Kulenovic, Esmir Pilav: Basins of attraction of period-two solutions of monotone difference equations. Advances in Difference Equations 03/2016; 2016(2016:74):25. DOI:10.1186/s13662-016-0801-y
- S. Jasarević-Hrustić, Z.Nurkanović, M.R.S. Kulenović and E.Pilav, “Birkhoff Normal Forms, KAM theory and Symmetries for Certain Second Order Rational Difference Equation with Quadratic Term”, International Journal of Difference Equations, ISSN 0973-6069, Volume 10, Number 2, pp. 181–199 (2015)
- J. Bektešević, M.RS. Kulenović, E. Pilav, “Asymptotic approximations of a stable and unstable manifolds of a two-dimensional quadratic map, Journal of Computational Analysis and Applications, vol. 21, no. 1, pp. 35–51, 2016.
- J. Bektešević, M.RS. Kulenović, E. Pilav, “Global Dynamics of Cubic Second Order Difference Equation in the First Quadrant”, Advances in Difference Equations, 2015(2015:176):38., DOI:10.1186/s13662-015-0503-x
- J. Bektešević, M.RS. Kulenović, E. Pilav, “Asymptotic Approximations of the Stable and Unstable Manifolds of Fixed Points of a Two-dimensional Cubic Map”, International Journal of Difference Equations 05/2015; 10(1):39-58.
- M.R.S. Kulenović, E. Pilav and E. Silić, “Naimark-Sacker Bifurcation of a Certain Second Order Quadratic Fractional Difference Equation”, Journal of Mathematical and Computational Science, 09/2014; 4(6):1044-1054.
- V. Hadžiabdić, M.R.S. Kulenović, and E. Pilav, “Dynamics of a Competitive System of Rational Difference Equations with Quadratic Terms”, Advances in Difference Equations 11/2014; 2014:301. DOI:10.1186/1687-1847-2014-301
- S. Kalabušić, M. R. S. Kulenović, and E. Pilav, “Basins of Attraction of Certain Linear Fractional System of Difference Equations in the Plane”, International Journal of Difference Equations, 08/2014; 9(2):207-222.
- M.R.S. Kulenović, E. Pilav and E. Silić, “Local Dynamics and Global Attractivity of a Certain Second Order Quadratic Fractional Difference Equation”, Advances in Difference Equations, 2014:68 doi:10.1186/1687-1847-2014-68
- M. R. S. Kulenović, Z. Nurkanović and E. Pilav, “Birkhoff Normal Forms and KAM theory for Gumowski-Mira Equation”, The Scientific World Journal, Volume 2014, Article ID 819290, 8 pages DOI:10.1155/2014/819290
- J. Bektešević, M.R.S. Kulenović, and E. Pilav: “Global Dynamics of Quadratic Second Order Difference Equation in the First Quadrant”, Applied Mathematics and Computation, Volume 227, 15 January 2014, Pages 50–65.
- S. Kalabušić, M. R. S. Kulenović, and E. Pilav, “Global Dynamics of Anti-Competitive Systems in the Plane,” Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, vol. 20, no. 4, pp. 477–505, 2013
- S. Kalabušić, M.R.S. Kulenović, and E. Pilav, “Global Dynamics of an Anti-Competitive System of Rational Difference Equations in the Plane”, Journal of Difference Equations and Applications, Volume 19, Issue 11, November 2013, pages 1849-1871, DOI:10.1080/10236198.2013.787420
- S. Kalabušić, M. R. S. Kulenović, and E. Pilav, “Multiple Attractors for a Competitive System of Rational Difference Equations in the Plane,” Abstract and Applied Analysis, vol. 2011, Article ID 295308, 35 pages, 2011. doi:10.1155/2011/295308
- S. Kalabušić, M.R.S. Kulenović, and E. Pilav, “Dynamics of a Two-dimensional System of Rational Difference Equations of Leslie-Gower type”, Advances in Difference Equations 2011, 2011:29 doi:10.1186/1687-1847-2011-29
- Kalabušić, M.R.S. Kulenović, and E. Pilav, “Global Dynamics of a Competitive System of Rational Difference Equations in the Plane”, Advances in Difference Equations, (2009), Article ID 132802, 30 pages.
- S. Kalabušić, E. Pilav, “Bifurkacije i haos u nekim ekonomskim modelima”, Zbornik radova Ekonomskog fakulteta u Sarajevu, Issue no. 29 /2009, pp 495-511, ISSN 0581- 7439.
- E. Pilav, B. Ramić-Brkić: “Real-time Image Based Rendering Using Limited Resources”, Spring Conference on Computer Graphics (SCCG), April 24th – 26th, (2008), Budmerice Castle, Slovakia