Prof. dr. Senada Kalabušić

Publikacije, naučni radovi

1.  S. Kalabušić, M.R.S. Kulenović, Asymptic Behavior of Certain Third Order Rational Difference Equation, Radovi Matematički, 11, 70-101 (2002).
2.    S. Kalabušić, M.R.S.Kulenović, C.B.  Overdeep, On the Asymptotic of the Rational Difference Equation of Third Order, J.Concrete Appl. Math. 1, 149-162 (2003).
3.    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}}, Differ. Equations Appl., 9 , 701-720 (2003).
4.    S. Kalabušić,  F. Vajzović, Exponential Formula for One-time Integrated Semigroup, Novi Sad J. Math. 33 (2) (2003).
5.    S. Kalabušić, M.R.S. Kulenović, Rate of Convergence of Solutions of Rational Difference Equations of Second Order, Advanced in Difference Equations 2004:2, 121-139 (2004).
6.    S. Kalabušić, M.R.S. Kulenović, C.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, 915-928 (2004).
7.    S. Kalabušić, M. Nurkanović,  On the Dynamics of With a Periodic Coefficient, Communication on Applied Nonlinear Analysis. 13(2), 37-57 (2006).
8.    C.H. Gibbons, S. Kalabušić, C. B. Overdeep, The dichotomy character of Proceedings of the International conference on Difference Equations. 480-496 (2007).
9.    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).
10.    Dž. Burgić, S. Kalabušić, M.R.S. Kulenović,  Period-two trichotomies of a difference equation of order higher than two, Sarajevo J. Math., 4(16), 73-90 (2008).
11.    Dž. Burgić, S. Kalabušić, M.R.S. Kulenović, Global attractivity results for mixed-monotone mappings in partially ordered complete metric spaces. Fixed Point Theory Appl. Art. ID 762478 (2009).
12.    A. Brett, S. Kalabušić, M.R.S. Kulenović,  Global Attractivity Results in Partially Ordered Complete Metric Spaces, Nonlinear Studies.,18(2), 141-154 (2011).
13.    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.
14.    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 2009, Article ID 132802, 30 pages (2010) doi: 10       1155/2009/132802.
15.   S. Kalabušić, M.R.S. Kulenović, E. Pilav, Dynamics of a Two-dimensional System of Rational Difference Equations of Leslie-Gower type. Advances in Difference Equations 2011, 2011:29 (2011) doi:10.1186/1687-1847-2011-29 .
16.   S. Kalabušić, M.R.S. Kulenović, E. Pilav, Multiple Attractors for a Competitive System of Rational Difference Equations in the Plane. Abstract and Applied Analysis 2011 (2011).
17.   C.H. Gibbons, S. Kalabušić, 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. (2012) DOI:10.1080/10236198.2012.704916.
18.   S. Kalabušić, M.R.S. Kulenović, E. Pilav,  Global Dynamics of an Anti-Competitive System of Rational Difference Equations in the Plane, Journal of Difference equations and applications (2013).
19.   S. Kalabušić, M.R.S. Kulenović, E. Pilav, Global Dynamics of Anti- Competitive Systems in the Plane, Dynamics of Continuous, Discrete and Impulsive System (2013).
20.   S. Kalabušić, M.R.S. Kulenović, M. Mehuljić, Global Period-doubling Bifurcation of Quadratic Fractional Second Order Difference Equation, Discrete Dyn. Nat. Soc. 2014 (2014).
21.   S. Kalabušić, M.R.S. Kulenović, E. Pilav, Basins of Attraction of Certain Linear Fractional System of Difference Equations in the Plane,  International Journal of Difference Equations (2014).
22.   S. Kalabušić, M.R.S. Kulenović, M. Mehuljić, Global Dynamics and Bifurcations of Two quadratic Fractional Difference Equations,  J.Comp.Anal.Appl.,20, 12 pp (2016).
23.   J. Bektešević, V. Hadžiabdić, S. Kalabušić, M. Mehuljić, Global Asymptotic Behavior of Some Quadratic Rational Second Order Difference Equations, International Journal of Difference Equations, ISSN 0973-6069, 1-16 (2017).
24.   S. Kalabušić, M. Nurkanović, Z.  Nurkanović, Global Dynamics of Certain Mix-monotone Difference Equations, Mathematics, Special Issue ”Advances in Differential and Difference Equations with Applications” (2018).
25.   S. Kalabušić, N. Mujić, E. Pilav, The Invariant Curve in a Planar System of Difference Equations,  Advances in Dynamical Systems and Applications (2018).
26.   E. Bešo, N. Mujić, S. Kalabušić, E. 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).
27.   E. Bešo, S. Kalabušić, N. Mujić, 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.
28.   S. Kalabušić, E. Bešo, N. Mujić, 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.
29.   E. Bešo, S. Kalabušić, N. Mujić, E. Pilav, Stability of a certain class of a host-parasitoid models with a spatial refuge effect, Journal of Biological Dynamics, 14(1), 1-31(2020) DOI: 1080/17513758.2019.1692916
30.   E. Bešo, S. Kalabušić, N. Mujić, E. Pilav,  Boundedness of solutions and stability of certain second-order difference equation with quadratic term,  Advances in Difference Equations, 19 (2020). https://doi.org/10.1186/s13662-019-2490-9.
31.   S. Kalabušić, Dž. Drino, 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).
32.   S. Kalabušić, Dž. Drino, 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, 30(16)  (2020). https://doi.org/10.1142/S0218127420502545
33.   J. Bektešević, V. Hadžiabdić, S. Kalabušić, M. Mehuljić, E. Pilav,  Dynamics of a class of host-parasitoid models with external stocking upon parasitoids,  Advances in Difference Equations 2021:31 (2021) https://doi.org/10.1186/s13662-020-03193-9
34.   S. Kalabušić, M. R. S. Kulenović, M. Mehuljić,  Global Dynamics of Monotone Second Order Difference Equation, Journal of Computational Analysis and Applications 29(1), 172-184 (2021).
35.   S. Kalabušić, E. Pilav, Stability of the May's host-parasitoid model with variable stocking upon parasitoids, International Journal of Biomathematics, 15, (2022).
36.   S. Kalabušić, E. Pilav,  Bifurcations, permanence and local behavior of the plant-herbivore model with logistic growth of plant biomass, Qualitative Theory of Dynamical Systems, 21, (2022).
37.   S. Kalabušić, E. Pilav, Global behavior of a class of discrete epidemiological SI models with constant recruitment of susceptibles, Journal of Difference Equations and Applications, 28, (2022).
38.   S. Kalabušić, E. Pilav,  The behavior of a class host-parasitoid models with host refuge and strong Allee effect upon the host population, J. Biol. System, 31, 755-789, (2023).
39.   S. Kalabušić,  Dž. Drino, E.  Pilav,  Bifurcation and stability of a Ricker host-parasitoid model with a host constant refuge and general escape function ICDEA 2021 Proceedings”Advances in Discrete Dynamical Systems, Difference Equations, and Applications” Springer Proceedings in Mathematics & Statistics-Springer Proc. Math. Stat., 416, 2023, 233–281.
40.   S. Kalabušić , E. Pilav, ,The behavior of a host-parasitoid model with host logistic growth and proportional refuge, International Journal of Biomathematics, (2023),
41.   E. Bešo, S. Kalabušić and E. Pilav, Dynamics of a plant-herbivore system with Ricker plant growth and the strong Allee effects on plant population, Discrete and Continuous Dynamical Systems Series B (DCDS-B), AIMS, 2023, https://doi:10.3934/dcdsb.2023108
42.   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,  33, (2023).
43.   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, 42, (2023).
44.   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).
45.   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. https://doi.org/10.1142/S1793524524500578.
46.   E. Bešo, A. Linero-Bas, S. Kalabušić, D. Nieves-Roldán, E. Pilav, A generalized Beddington host-parasitoid model with an arbitrary parasitism escape function, International Journal of Bifurcation and Chaos (to appear) (2024).

Izlaganja na konferencijama

Predavanja na internacionalnim konferencijama/internacionalnim školama 

– Bosnian-Croatian Analysis Meeting, Bihać, May 10-12,2001 Bosnia&Herzegovina.
– International Congress Massee'2003, September 15-21,2003, Borovets, Bulgaria.
– International Conference on Difference Equations, Special Functions and Applications Munich , 25- 30 July, 2005.
– European Advanced Studies, Progress on Difference Equations, Homburg/Saar, Germany, 6-10 March 2006.
– European Conference on Iteration Theory ECIT 2006., September 10-16, Gargnano Italy.
– Progress on Difference Equations 2007. Laufen/Salzach, Germany, March 31 -April 5 2007.
– 14 th International Conference on Difference Equations and Applications, July 21-25, 2008 Istanbul.
– DAAD, Center of Excellence for Applications of Mathematics; Intensive course : Discrete Dynamical Systems and Difference Equations (sa Prof. Dr. Ulrich Krause, Department of Mathematics, University of Bremen, 15-22 juna, 2008.
– Middletown Sectional Meeting of AMS (American Mathematical Society), October 11, 2008.
– AMS, Washington, January, 2009, Non-hyperbolic Dynamics for Competitive Systems in the Plane and Global Period-doubling Bifurcations .
– DAAD Summer school of applied mathematics, Mechanical faculty University of Sarajevo, Systems of difference equations with applications, 2011.
– DAAD summer school of applied mathematics, Faculty of Science University of Sarajevo – Difference Equations with applications 2012.
– 18th International Conference on Difference Equations and Applications, 22-27 July 2012, Barcelona, Spain.
– Seventh Bosnian-Hercegovinian Mathematical Conference (The conference was in honor of Professor Mustafa Kulenović on the occasion of his 60th birthday), august 16, 2012.
– Progress on Difference Equations (PODE2014), Izmir Turkey, 2014.
– 23 rd International Conference on Difference Equations, Timisoara, Romania 2017.
– 24th International Conference on Difference Equations and Applications, Dresden, 21-25 May 2018.
– 26th – International Conference on Difference Equations and Applications 2021 (ICDEA 2021), Sarajevo, BiH. Pozvani predavač u specijalnoj sesiji.

– 29th-International Conference on Difference Equations and Applications 2024 (ICDEA 2024), Paris, France, 24-28 June, 2024.

Predsjedavajuća organizaciong odbora sljedećih internacionalnih konferencija/međunarodnih matematičkih takmičenja:
– MICOM2012 – Mathematical Society of South Eastern Europe.
– BMS2018 www.pmf.unsa.ba/bms2018 (bh. matematička konferencija).
– ICDEA2021 (International Conference on Difference Equations and Applications icdea2021.pmf.unsa.ba), 26-30. jula, 2021.godina, Bosnia and Herzegovina.
– JBMO 2022 (Juniorska balkanska matematička olimpijada, Sarajevo, 28.6.-2.7-2022.godine).
– BMO 2025 (Balkanska matematička olimpijada, Sarajevo 2025).

Objavljene knjige i udžbenici

S. Kalabušić, M. Memić,  E. Pilav, Parcijalne diferencijalne jednadžbe, Prirodno-matematički fakultet, Univerzitet u Sarajevu, 2015.

S. Kalabušić, E. Pilav, Obične diferencijalne jednadžbe, Prirodno-matematički fakultet, Univerzitet u  Sarajevu, 2014.

S. Kalabušić, S. Piric, Linearne integralne jednadžbe, Prirodno-matematički fakultet, Univerzitet u  Sarajevu, 2011.

S. Kalabušić, M. Malenica, Specijalne funkcije. Teorija i zadaci.,  Prirodno-matematički fakultet,   Univerzitet u Sarajevu, 2010.

S. Kalabušić, Ć. Ljubović, Matematika za brucoše, Šumarski fakultet, Univerzitet u Sarajevu, 2007.

Naučno-istraživački projekti

Međunarodni projekti
– Erasmus + Koordinator ispred Univerziteta u Sarajevu projekta „Enhancement of HE research
potential contributing further growth of the WB region”- Grant Holder University of Niš (Project
Coordinator) 2015-2018.

– BUGI – Western Balkans Urban Agriculture Initiative, Erasmus+ projekat 2017 – 2021.

– PARTISH – Development of part-time and short cycle studies in higher education in Bosnia and Herzegovina, Erasmus+ projekat 2021 – 2024 (član projektnog tima).

Domaći projekti
Federalni projekat
– „Invarijante mnogostrukosti i globalna dinamika određenih frakcionalnih diferentnih jednadžbi drugog reda sa kvadratnim članovima“(Invariant manifolds and global dynamics of certain rational difference equations with quadratic terms“, scientific project financed by Federal Ministry of Science and Education), Federalno ministarstvo obrazovanja i nauke, 2015.godine (voditelj projekta).
– „Globalna dinamika, bifurkacije i Julia skupovi za neke racionalne diferentne 7 jednadžbe sa kvadratnim članovima“ (Global dynamics, bifurcations and Julia sets for some rational difference equations with quadratic terms“, scientific project financed by Federal Ministry of Science and Education“) , Federalno ministarstvo obrazovanja (voditelj projekta).
Kantonalni projekat
– „Diferentne jednadžbe s periodičkim koeficijentima i primjene“ („Difference equations with periodic coefficients“, scientific project financed by Ministry of Science and Education of Sarajevo Canton), Kantonalno ministarstvo Obrazovanja, Sarajevo, 2005/2006 (voditelj projekta).
– „Diferentne jednadžbe i monotoni diskretni dinamički sistemi“ („Difference equations and discrete dynamical systems“, scientific project financed by Ministry of Science and Education of Sarajevo Canton) , Kantonalno ministarstvo Obrazovanja, Sarajevo, Br. 11-14-19768.1/07 (voditelj projekta).
– “Neimark-Sackerova bifurkacija i stabilnost određene klase host-parasitoid modela sa host refuge efektom”(“Neimark-Sacker bifurcation of certain class of host-parasitoid model with host refuge effect, scientific project financed by Ministry of Science and Education of Sarajevo Canton) Kantonalno ministarstvo za obrazovanje, nauku i mlade, 2019. Broj 11/05-14-27665- 1/19 (voditelj projekta).

Stručni radovi

Stručni radovi

1.    S. Kalabušić, E. Pilav, Application of Difference Equations to Labor- Management Negotiations, Uprava, 1, 151-158 (2010).
2.    S. Kalabušić, E. Pilav, Bifurkacije i haos u nekim ekonomskim modelima,  Zbornik radova Ekonomskog fakulteta u Sarajevu (2009).
3.    S. Kalabušić, M. Malenica, Uvod u gama funkciju, Zbornik radova PMF-a u Tuzli (2007).
4.    S. Kalabušić, Neke primjene diferentnih jednadžbi u ekonomiji, Zbornik Radova Ekonomskog fakulteta,  24, 233-243 (2004).
5.    Š. Arslanagić, S. Kalabušić, O jednoj Ojlerovoj teoremi iz geometrije i nekim njenim posljedicama, Triangle, 3(1), 10-14 (1999).
6.    Š. Arslanagić, S. Kalabušić, 40. Međunarodna matematička olimpijada, Triangle, 3(3), 210-221 (1999).

Biografski i historijski radovi

1.  S. Kalabušić, Happy 60th birthday Professor Kulenović,  Sarajevo J. Math.8(21)(2012), no.2, 175–178.

Mentorstva

Superviziranje/mentorisanje doktoranada

1. Esmir Pilav –  doktorat je odbranjen 2011. godine

2. Midhat Mehuljić – doktorat je odbranjen 2015. godine

3. Emin Bešo (zajedničko mentorstvo sa prof. E. Pilav) – doktorat je odbranjen 2020. godine

4. Džana Drino(zajedničko mentorstvo sa prof. E. Pilav) – doktorat je odbranjen 2023. godine

Superviziranje/mentorisanje magistranata
1. Nađa Šečerović – odbranjen 2008.godine

2. Esmir Pilav – odbranjen 2009.godine

3. Midhat Mehuljić – odbranjen 2010.godine

4. Dzeneta Porović – odbranjen 2011.godine

5. Emina Paljevac – odbranjen 2011.godine

6. Mirzeta Sofić – odbranjen 2011. godine

7. Miranda Šabić – odbranjen 2011.godine

8. Jasmin Bektešević – odbranjen 2012.godine

9. Aminah Rifai – odbranjen 2012.godine

10. Feđa Šolak – odbranjen 2012.godine

11. Adha Arapović- odbranjen 2014.

12. Naida Nujić – odbranjen 2014.

13. Amra Gusinjac – odbranjen 2018. godine

14.  Minela Turko-odbranjen 2022.godine

15. Belmin Berbić- odbranjen 2023.godine

Nagrade i priznanja

• Nagrada Univerziteta u Sarajevu u skladu sa Pravilnikom o nagrađivanju na osnovu rezultata naučnog rada za 2018.godinu
• Program sufinansiranja nauke za 2019. godinu (Naučni radovi u WOSCC-Web of Science Core Collection, Ministarstvo za  obrazovanje, nauku i mlade KS)
• Nagrada Univerziteta u Sarajevu u skladu sa Pravilnikom o nagrađivanju na osnovu rezultata  naučnog rada za 2019.godinu
• Nagrada Univerziteta u Sarajevu u skladu sa Pravilnikom o nagrađivanju na osnovu rezultata naučnog rada za 2020.godinu
• Nagrada Univerziteta u Sarajevu u skladu sa Pravilnikom o nagrađivanju na osnovu rezultata naučnog rada za 2022.godinu

Studijski boravci

1997                  ISI, Course on Selected Topics in Dynamical Systems, Torino

2002                 Department of Mathematics, University of Rhode Island, USA

2008-2009      Fulbright Visiting Scholar, Department of Mathematics, University of Rhode Island, USA

Članstvo u akademskim i stručnim organizacijama

2004-            član Internacionalnog udruženja za diferentne jednadžbe (International Society of Difference Equations ISDEDS)

2016-2024    predsjednik Udruženja matematičara Kantona Sarajevo

Recenzije i uredništvo u naučnim i stručnim časopisima

Editors: S. Elaydi, M.R.S. Kulenović, S. Kalabušić, Advances in Discrete Dynamical Systems, Difference Equations, and Applications,  Springer Proceedings in Mathematics & Statistics, 2023 (26th ICDEA, Sarajevo, Bosnia and Herzegovina, July 26-30, 2021).

Recenziranje  naučnih radova za sljedeće naučne matematičke časopise: Nonlinear Dynamics, Journal of Difference Equations and Applications,   Advances in Difference Equations, Discrete Dynamics in Nature and Society, Mathematical Methods in Applied Sciences, Ecological Modelling,  Discrete and Continuous Dynamical Systems-series B,  International Journal of Bifurcation and Chaos, Journal of Biological Dynamics, Chaos, Solitons and Fractals, Mathematics (AIMS), Mathematics (MDPI), Axioms (MDPI), International Journal of Biomathematics i drugi

2005-  pregledni prikazi radova za AMS (American Mathematical Society)