IME I PREZIME: Senada Kalabušić
AKADEMSKO ZVANJE: Redovna profesorica
BROJ TELEFONA: ++ 387 33 279 958
BROJ KABINETA: 439
E-MAIL: senadak@pmf.unsa.ba
KONSULTACIJE: ponedjeljak:11:00-12:00, utorak i srijeda 11:00-12:30
Obrazovanje
- 2003 doktor matematičkih nauka, Univerzitet u Sarajevu
- 2000 magistar matematičkih nauka, Univerzitet u Sarajevu
- 1996 diplomirani matematičar, Univerzitet u Sarajevu
Akademsko iskustvo
- 2011.- do danas redovna profesorica na Odsjeku za matematiku Prirodno-matematičkog fakulteta Univerziteta u Sarajevu
- 2007.- 2011. vanredna profesorica na Odsjeku za matematiku Prirodno-matematičkog fakulteta Univerziteta u Sarajevu
- 2004. – 2007. docent na Odsjeku za matematiku Prirodno-matematičkog fakulteta Univerziteta u Sarajevu
- 2000.- 2003 . viši asistent na Odsjeku za matematiku Prirodno-matematičkog fakulteta Univerziteta u Sarajevu
- 1997.- 2000. asistent na Odsjeku za matematiku Prirodno-matematičkog fakulteta Univerziteta u Sarajevu
Naučni radovi
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- S. Kalabušić, M.R.S. Kulenović, Asymptic Behavior of Certain Third Order Rational Difference Equation, Radovi Matematički 11 (2002) 70-101.
- S. Kalabušić, M.R.S. Kulenović, Carol B. Overdeep, On the Asymptotic of the Rational Difference Equation of Third Order, J.Concrete Appl. Math. 1(2003) 149-162.
- S. Kalabušić , M.R.S. Kulenović, On the Recursive Sequence x_{n+1}=\frac{\gamma x_{n-1}+\delta x_{n-2}}{C x_{n-1}+D x_{n-2}}, , J. Differ. Equations Appl. 9 (2003) 701-720.
- S.Kalabušić, F. Vajzović, Exponential Formula for One-time Integrated Semigroup , Novi Sad J. Math. Vol.33 No.2, 2003.
- S. Kalabušić, M.R.S. Kulenović, Rate of Convergence of Solutions of Rational Difference Equations of Second Order ,Advenced in Difference Equations 2004:2(2004) 121-139.
- S. Kalabušić, M.R.S. Kulenović, Carol B. Overdeep, On the Dynamics of Equation x_{n+1}=\frac{\gamma x_{n-i}+\delta x_{n-k}}{C x_{n-i}+D x_{n-i}}, J. Differ. Equations Appl. 10 (2004) 915-928.
- S. Kalabušić, M.Nurkanović, On the Dynamics of With a Periodic Coefficient, Communication on Applied Nonlinear Analysis, Vol.13(2006), Number 2, 37-57.
- C.H. Gibbons, S. Kalabušić, C.B. Overdeep, The dichotomy character of Proceedings of the International conference on Difference Equations, Munich 2005, pp 480-496, 2007.
- Dž. Burgić, S. Kalabušić, M.R.S. Kulenović, Non-hyperbolic Dynamics for Competitive Systems in the Plane and Global Period-doubling Bifurcations, Advn. Dynamical Syst. And Appl. 3 (2008).
- Burgić, Dž.; Kalabušić, S.; Kulenović, M. R. S. Period-two trichotomies of a difference equation of order higher than two. Sarajevo J. Math. 4(16) (2008), no. 1, 73–90.
- Burgić, Dž.; Kalabušić, S.; Kulenović, M. R. S. Global attractivity results for mixed-monotone mappings in partially ordered complete metric spaces. Fixed Point Theory Appl. 2009, Art. ID 762478
- A. Brett, Kalabušić, S.; Kulenović, M. R. S. Global Attractivity Results in Partially Ordered Complete Metric Spaces, Nonlinear Studies, Vol. 18. No 2, pp 141-154.
- S. Kalabušić, M.R.S. Kulenović, Dynamics of Certain Anti-competitive Systems of Rational Difference Equations in the Plane, Journal of Difference Equations and Applications, 2011, DOI: 10.1080/10236191003730506.
- S. Kalabušić, M.R.S. Kulenović, E. Pilav, Global Dynamics of a Competitive System of Rational Difference Equations in the Plane, Advances in Difference Equations Vol. 2009, Article ID 132802, 30 pages, doi: 10 1155/2009/132802
- 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, Volume 2011 (2011), 2011:29 doi:10.1186/1687-1847-2011-29 .
- 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, Volume 2011 (2011).
- C.H Gibbons, S.Kalabušić and C.B. Overdeep, More results on the trichotomy character of a second-order rational difference equation with period-two coefficients, Journal of Difference equations and applications, DOI:10.1080/10236198.2012.704916, July 2012.
- 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 2013.
- 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, 2013.
- S. Kalabušić, M.R.S. Kulenović and M.Mehuljic, Global Period-doubling Bifurcation of Quadratic Fractional Second Order Difference Equation, Discrete Dyn. Nat. Soc., (2014) Volume 2014.
- Kalabušić, S.; Kulenović, M. R. S.; Pilav, E., Basins of Attraction of Certain Linear Fractional System of Difference Equations in the Plane, International Journal of Difference Equations, 2014 (u stampi).
- S.Kalabušić, M.R.S.Kulenović and M.Mehuljić, Global Dynamics and Bifurcations of Two quadratic Fractional Difference Equations, J.Comp.Anal.Appl., 20(2016),12p.
- J. Bektešević, V.Hadžiabdić, S. Kalabušić and M. Mehuljić, Global Asymptotic Behavior of Some Quadratic Rational Second Order Difference Equations, International Journal of Difference Equations, ISSN 0973-6069, pp.1-16 (accepted for publication) , 2017
- Senada Kalabušić, Mehmed Nurkanović and Zehra Nurkanović, Global Dynamics of Certain Mix-monotone Difference Equations, Mathematics, Special Issue ”Advances in Differential and Difference Equations with Applications” 2018 (accepted for publication)
- S. Kalabušić, N.Mujić and E. Pilav, The Invariant Curve in a Planar System of Difference Equations, Advances in Dynamical Systems and Applications, 2018 (prihvaćen za objavljivanje)
- 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.
- 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 .
- S. Kalabušić, E. Bešo, N. Mujić and E. Pilav, Stability analysis of a certain class of difference equations by using KAM theory. Adv Differ Equ 2019, 209 (2019) doi:10.1186/s13662-019-2148-7
- 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
- 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.
- 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).
- 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,
- 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, M.R.S. Kulenović, M.Mehuljić, Global Dynamics of Monotone Second Order Difference Equation, Journal of Computational Analysis and Applications, 2021 (accepted)
- S. Kalabušić and E. Pilav, Stability of the May's host-parasitoid model with variable stocking upon parasitoids, International Journal of Biomathematics, 2021, (accepted)
- S. Kalabušić and E. Pilav, Bifurcations, permanence and local behavior of the plant-herbivore model with logistic growth of plant biomass, Qualitative Theory of Dynamical Systems, 2022 (accepted)
- 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) (to appear)
- 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), (to appear)
- Kalabušić S., Drino, Dž., Pilav, E. Bifurcation and stability of a Ricker host-parasitoid model with a host constant refuge and general escape function, Advances in Discrete Dynamical Systems, Difference Equations, and Applications, Springer Proceedings in Mathematics & Statistics series. (2023)
- Kalabušić, S., Pilav, E.,The behavior of a host-parasitoid model with host logistic growth and proportional refuge, International Journal of Biomathematics, (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
- 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 the discrete-time Rosenzweig-MacArthur predator-prey system in the closed positively invariant set, Computational and Applied Mathematics, (2023), (to appear)
- 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, 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)