Niu, Lin; Wang, Yi; Xie, Xizhuang Carrying simplex in the Lotka-Volterra competition model with seasonal succession with applications. (English) Zbl 1470.34134 Discrete Contin. Dyn. Syst., Ser. B 26, No. 4, 2161-2172 (2021). MSC: 34C60 34D05 34C25 37C60 92D25 PDF BibTeX XML Cite \textit{L. Niu} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 4, 2161--2172 (2021; Zbl 1470.34134) Full Text: DOI OpenURL
Hadžiabdić, V.; Kulenović, M. R. S.; Pilav, E. Bifurcation and global dynamics of a Leslie-Gower type competitive system of rational difference equations with quadratic terms. (English) Zbl 1470.39035 Abstr. Appl. Anal. 2017, Article ID 3104512, 19 p. (2017). MSC: 39A30 92D25 PDF BibTeX XML Cite \textit{V. Hadžiabdić} et al., Abstr. Appl. Anal. 2017, Article ID 3104512, 19 p. (2017; Zbl 1470.39035) Full Text: DOI OpenURL
Bilgin, Arzu; Kulenović, Mustafa R. S.; Pilav, Esmir Basins of attraction of period-two solutions of monotone difference equations. (English) Zbl 1419.39004 Adv. Difference Equ. 2016, Paper No. 74, 25 p. (2016). MSC: 39A10 39A20 37B25 37D10 PDF BibTeX XML Cite \textit{A. Bilgin} et al., Adv. Difference Equ. 2016, Paper No. 74, 25 p. (2016; Zbl 1419.39004) Full Text: DOI OpenURL
Brett, Ann; Kulenović, Mustafa R. S. Two species competitive model with the allee effect. (English) Zbl 1417.92124 Adv. Difference Equ. 2014, Paper No. 307, 27 p. (2014). MSC: 92D25 39A10 39A30 37G35 37N25 PDF BibTeX XML Cite \textit{A. Brett} and \textit{M. R. S. Kulenović}, Adv. Difference Equ. 2014, Paper No. 307, 27 p. (2014; Zbl 1417.92124) Full Text: DOI OpenURL
Hadžiabdić, Vahidin; Kulenović, Mustafa R. S.; Pilav, Esmir Dynamics of a two-dimensional competitive system of rational difference equations with quadratic terms. (English) Zbl 1417.39005 Adv. Difference Equ. 2014, Paper No. 301, 32 p. (2014). MSC: 39A10 39A30 37E99 37D10 37N25 PDF BibTeX XML Cite \textit{V. Hadžiabdić} et al., Adv. Difference Equ. 2014, Paper No. 301, 32 p. (2014; Zbl 1417.39005) Full Text: DOI OpenURL
Ackleh, Azmy S.; Salceanu, Paul L. Robust uniform persistence and competitive exclusion in a nonautonomous multi-strain SIR epidemic model with disease-induced mortality. (English) Zbl 1345.92131 J. Math. Biol. 68, No. 1-2, 453-475 (2014). MSC: 92D30 34C60 PDF BibTeX XML Cite \textit{A. S. Ackleh} and \textit{P. L. Salceanu}, J. Math. Biol. 68, No. 1--2, 453--475 (2014; Zbl 1345.92131) Full Text: DOI OpenURL
Kalabušić, S.; Kulenović, M. R. S.; Pilav, E. Global dynamics of an anti-competitive system of rational difference equations in the plane. (English) Zbl 1282.39012 J. Difference Equ. Appl. 19, No. 11, 1849-1871 (2013). Reviewer: Lothar Berg (Rostock) MSC: 39A20 37D10 39A30 39A23 PDF BibTeX XML Cite \textit{S. Kalabušić} et al., J. Difference Equ. Appl. 19, No. 11, 1849--1871 (2013; Zbl 1282.39012) Full Text: DOI OpenURL
Kulenović, Mustafa R. S.; Nurkanović, M. Global behavior of a two-dimensional competitive system of difference equations with stocking. (English) Zbl 1255.39014 Math. Comput. Modelling 55, No. 7-8, 1998-2011 (2012). MSC: 39A30 92D25 39A60 PDF BibTeX XML Cite \textit{M. R. S. Kulenović} and \textit{M. Nurkanović}, Math. Comput. Modelling 55, No. 7--8, 1998--2011 (2012; Zbl 1255.39014) Full Text: DOI OpenURL
Kulenović, M. R. S.; Merino, Orlando; Nurkanović, M. Global dynamics of certain competitive system in the plane. (English) Zbl 1257.37032 J. Difference Equ. Appl. 18, No. 12, 1951-1966 (2012). MSC: 37G35 39A10 PDF BibTeX XML Cite \textit{M. R. S. Kulenović} et al., J. Difference Equ. Appl. 18, No. 12, 1951--1966 (2012; Zbl 1257.37032) Full Text: DOI OpenURL
Garić-Demirović, M.; Kulenović, M. R. S.; Nurkanović, M. Basins of attraction of equilibrium points of second order difference equations. (English) Zbl 1252.39018 Appl. Math. Lett. 25, No. 12, 2110-2115 (2012). MSC: 39A30 39A10 39A23 PDF BibTeX XML Cite \textit{M. Garić-Demirović} et al., Appl. Math. Lett. 25, No. 12, 2110--2115 (2012; Zbl 1252.39018) Full Text: DOI OpenURL
Kalabušić, S.; Kulenović, M. R. S; Pilav, E. Dynamics of a two-dimensional system of rational difference equations of Leslie-Gower type. (English) Zbl 1384.37031 Adv. Difference Equ. 2011, Paper No. 29, 29 p. (2011). MSC: 37C75 39A33 39A30 PDF BibTeX XML Cite \textit{S. Kalabušić} et al., Adv. Difference Equ. 2011, Paper No. 29, 29 p. (2011; Zbl 1384.37031) Full Text: DOI OpenURL
Kalabušić, S.; Kulenović, M. R. S.; Pilav, E. Multiple attractors for a competitive system of rational difference equations in the plane. (English) Zbl 1252.39020 Abstr. Appl. Anal. 2011, Article ID 295308, 35 p. (2011). MSC: 39A30 39A20 PDF BibTeX XML Cite \textit{S. Kalabušić} et al., Abstr. Appl. Anal. 2011, Article ID 295308, 35 p. (2011; Zbl 1252.39020) Full Text: DOI OpenURL
Kalabušić, S.; Kulenović, M. R. S. Dynamics of certain anti-competitive systems of rational difference equations in the plane. (English) Zbl 1243.39012 J. Difference Equ. Appl. 17, No. 11, 1599-1615 (2011). Reviewer: Roman Šimon Hilscher (Brno) MSC: 39A22 39A30 39A20 PDF BibTeX XML Cite \textit{S. Kalabušić} and \textit{M. R. S. Kulenović}, J. Difference Equ. Appl. 17, No. 11, 1599--1615 (2011; Zbl 1243.39012) Full Text: DOI OpenURL
Yan, Jurang; Liu, Guirong Periodicity and stability for a Lotka-Volterra type competition system with feedback controls and deviating arguments. (English) Zbl 1216.34086 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 9, 2916-2928 (2011). MSC: 34K60 34K13 34K20 92D25 34K35 PDF BibTeX XML Cite \textit{J. Yan} and \textit{G. Liu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 9, 2916--2928 (2011; Zbl 1216.34086) Full Text: DOI OpenURL
Qin, Wen-Xin; Xu, Chun-Lan Dynamics of coupled oscillators with convex interaction potential. (English) Zbl 1314.34078 J. Math. Phys. 51, No. 10, 102705, 12 p. (2010). MSC: 34C15 34B15 34K31 34C25 34D05 PDF BibTeX XML Cite \textit{W.-X. Qin} and \textit{C.-L. Xu}, J. Math. Phys. 51, No. 10, 102705, 12 p. (2010; Zbl 1314.34078) Full Text: DOI OpenURL
Kulenović, M. R. S.; Merino, Orlando Invariant manifolds for competitive discrete systems in the plane. (English) Zbl 1202.37027 Int. J. Bifurcation Chaos Appl. Sci. Eng. 20, No. 8, 2471-2486 (2010). MSC: 37D10 37E30 37C70 PDF BibTeX XML Cite \textit{M. R. S. Kulenović} and \textit{O. Merino}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 20, No. 8, 2471--2486 (2010; Zbl 1202.37027) Full Text: DOI arXiv OpenURL
Martcheva, Maia A non-autonomous multi-strain SIS epidemic model. (English) Zbl 1342.92258 J. Biol. Dyn. 3, No. 2-3, 235-251 (2009). MSC: 92D30 PDF BibTeX XML Cite \textit{M. Martcheva}, J. Biol. Dyn. 3, No. 2--3, 235--251 (2009; Zbl 1342.92258) Full Text: DOI OpenURL
Kalabušić, S.; Kulenović, M. R. S.; Pilav, E. Global dynamics of a competitive system of rational difference equations in the plane. (English) Zbl 1187.39024 Adv. Difference Equ. 2009, Article ID 132802, 30 p. (2009). MSC: 39A30 39A20 37D45 39A12 PDF BibTeX XML Cite \textit{S. Kalabušić} et al., Adv. Difference Equ. 2009, Article ID 132802, 30 p. (2009; Zbl 1187.39024) Full Text: DOI OpenURL
Garić-Demirović, M.; Kulenović, M. R. S.; Nurkanović, M. Global behavior of four competitive rational systems of difference equations in the plane. (English) Zbl 1177.37046 Discrete Dyn. Nat. Soc. 2009, Article ID 153058, 34 p. (2009). MSC: 37E30 37G99 39A10 PDF BibTeX XML Cite \textit{M. Garić-Demirović} et al., Discrete Dyn. Nat. Soc. 2009, Article ID 153058, 34 p. (2009; Zbl 1177.37046) Full Text: DOI EuDML OpenURL
Jiang, Jifa; Mierczyński, Janusz; Wang, Yi Smoothness of the carrying simplex for discrete-time competitive dynamical systems: A characterization of neat embedding. (English) Zbl 1166.37009 J. Differ. Equations 246, No. 4, 1623-1672 (2009). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37D10 37C65 37N25 92D25 37D25 PDF BibTeX XML Cite \textit{J. Jiang} et al., J. Differ. Equations 246, No. 4, 1623--1672 (2009; Zbl 1166.37009) Full Text: DOI OpenURL
Tang, Xianhua; Cao, Daomin; Zou, Xingfu Global attractivity of positive periodic solution to periodic Lotka-Volterra competition systems with pure delay. (English) Zbl 1113.34052 J. Differ. Equations 228, No. 2, 580-610 (2006). Reviewer: Miklos Farkas (Budapest) MSC: 34K13 34K20 92D25 PDF BibTeX XML Cite \textit{X. Tang} et al., J. Differ. Equations 228, No. 2, 580--610 (2006; Zbl 1113.34052) Full Text: DOI OpenURL
Zhang, Shuwen; Tan, Dejun; Chen, Lansun The periodic \(n\)-species Gilpin–Ayala competition system with impulsive effect. (English) Zbl 1065.92065 Chaos Solitons Fractals 26, No. 2, 507-517 (2005). MSC: 92D40 34A37 34C25 34C60 PDF BibTeX XML Cite \textit{S. Zhang} et al., Chaos Solitons Fractals 26, No. 2, 507--517 (2005; Zbl 1065.92065) Full Text: DOI OpenURL
Hirsch, M. W.; Smith, Hal Monotone maps: a review. (English) Zbl 1080.37016 J. Difference Equ. Appl. 11, No. 4-5, 379-398 (2005). Reviewer: Gerd Herzog (Karlsruhe) MSC: 37C05 37-02 47H07 37B99 39A11 37C27 37E05 PDF BibTeX XML Cite \textit{M. W. Hirsch} and \textit{H. Smith}, J. Difference Equ. Appl. 11, No. 4--5, 379--398 (2005; Zbl 1080.37016) Full Text: DOI OpenURL
Jiang, Jifa; Liang, Xing; Zhao, Xiao-Qiang Saddle-point behavior for monotone semiflows and reaction-diffusion models. (English) Zbl 1063.35083 J. Differ. Equations 203, No. 2, 313-330 (2004). Reviewer: Domingo Salazar (Coventry) MSC: 35K57 37C65 47H07 92D25 PDF BibTeX XML Cite \textit{J. Jiang} et al., J. Differ. Equations 203, No. 2, 313--330 (2004; Zbl 1063.35083) Full Text: DOI OpenURL
Wang, Yi; Jiang, Jifa The general properties of dicrete-time competitive dynamical systems. (English) Zbl 1011.37054 J. Differ. Equations 176, No. 2, 470-493 (2001). MSC: 37N25 37C20 92D25 39A12 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{J. Jiang}, J. Differ. Equations 176, No. 2, 470--493 (2001; Zbl 1011.37054) Full Text: DOI OpenURL
Fan, Meng; Wang, Ke Global periodic solutions of a generalized \(n\)-species Gilpin-Ayala competition model. (English) Zbl 0954.92027 Comput. Math. Appl. 40, No. 10-11, 1141-1151 (2000). MSC: 92D40 34C25 34C60 PDF BibTeX XML Cite \textit{M. Fan} and \textit{K. Wang}, Comput. Math. Appl. 40, No. 10--11, 1141--1151 (2000; Zbl 0954.92027) Full Text: DOI OpenURL
Weng, Peixuan Existence and global stability of positive periodic solution of periodic integro-differential systems with feedback controls. (English) Zbl 0962.45003 Comput. Math. Appl. 40, No. 6-7, 747-759 (2000). Reviewer: Nikolay Yakovlevich Tikhonenko (Odessa) MSC: 45M05 92D25 45J05 45M20 34K50 93B52 45M10 45M15 PDF BibTeX XML Cite \textit{P. Weng}, Comput. Math. Appl. 40, No. 6--7, 747--759 (2000; Zbl 0962.45003) Full Text: DOI OpenURL
Fan, Meng; Wang, Ke; Jiang, Daqing Existence and global attractivity of positive periodic solutions to periodic \(n\)-species Lotka-Volterra competition systems with several deviating arguments. (English) Zbl 0964.34059 Math. Biosci. 160, No. 1, 47-61 (1999). MSC: 34K13 92D25 PDF BibTeX XML Cite \textit{M. Fan} et al., Math. Biosci. 160, No. 1, 47--61 (1999; Zbl 0964.34059) Full Text: DOI OpenURL
Battauz, Anna; Zanolin, Fabio Coexistence states for periodic competitive Kolmogorov systems. (English) Zbl 0911.34037 J. Math. Anal. Appl. 219, No. 2, 179-199 (1998). Reviewer: I.N.Katz (St.Louis) MSC: 34C25 92D25 60H10 34F05 PDF BibTeX XML Cite \textit{A. Battauz} and \textit{F. Zanolin}, J. Math. Anal. Appl. 219, No. 2, 179--199 (1998; Zbl 0911.34037) Full Text: DOI Link OpenURL
Smith, H. L. Planar competitive and cooperative difference equations. (English) Zbl 0907.39004 J. Difference Equ. Appl. 3, No. 5-6, 335-357 (1998). Reviewer: P.Talpalaru (Iaşi) MSC: 39A10 92D25 PDF BibTeX XML Cite \textit{H. L. Smith}, J. Difference Equ. Appl. 3, No. 5--6, 335--357 (1998; Zbl 0907.39004) Full Text: DOI OpenURL
Smith, H. L. Complicated dynamics for low-dimensional strongly monotone maps. (English) Zbl 0893.54034 Nonlinear Anal., Theory Methods Appl. 30, No. 3, 1911-1914 (1997). Reviewer: Victor Sharapov (Volgograd) MSC: 54H20 PDF BibTeX XML Cite \textit{H. L. Smith}, Nonlinear Anal., Theory Methods Appl. 30, No. 3, 1911--1914 (1997; Zbl 0893.54034) Full Text: DOI OpenURL
Eilbeck, J. C.; López-Gómez, J. On the periodic Lotka-Volterra competition model. (English) Zbl 0874.34039 J. Math. Anal. Appl. 210, No. 1, 58-87 (1997). MSC: 34C25 92D25 34C23 PDF BibTeX XML Cite \textit{J. C. Eilbeck} and \textit{J. López-Gómez}, J. Math. Anal. Appl. 210, No. 1, 58--87 (1997; Zbl 0874.34039) Full Text: DOI OpenURL
Liu, Pingzhou; Gopalsamy, K. On a model of competition in periodic environments. (English) Zbl 0872.39009 Appl. Math. Comput. 82, No. 2-3, 207-238 (1997). Reviewer: V.V.Obukhovskij (Voronezh) MSC: 39A12 93C55 93D15 39A10 34K13 92D25 PDF BibTeX XML Cite \textit{P. Liu} and \textit{K. Gopalsamy}, Appl. Math. Comput. 82, No. 2--3, 207--238 (1997; Zbl 0872.39009) Full Text: DOI OpenURL
Jiang, J. F. Sublinear discrete-time order-preserving dynamical systems. (English) Zbl 0847.34053 Math. Proc. Camb. Philos. Soc. 119, No. 3, 561-574 (1996). Reviewer: A.-A.Yakubu (Washington / D.C.) MSC: 34D20 37B99 PDF BibTeX XML Cite \textit{J. F. Jiang}, Math. Proc. Camb. Philos. Soc. 119, No. 3, 561--574 (1996; Zbl 0847.34053) Full Text: DOI OpenURL
Tineo, Antonio On the asymptotic behavior of some population models. (English) Zbl 0778.92018 J. Math. Anal. Appl. 167, No. 2, 516-529 (1992). Reviewer: G.F.Webb (Nashville) MSC: 92D25 37-XX 92D40 34E99 PDF BibTeX XML Cite \textit{A. Tineo}, J. Math. Anal. Appl. 167, No. 2, 516--529 (1992; Zbl 0778.92018) Full Text: DOI OpenURL
Wu, Jianhong Global dynamics of strongly monotone retarded equations with infinite delay. (English) Zbl 0758.34059 J. Integral Equations Appl. 4, No. 2, 273-307 (1992). Reviewer: G.Karakostas (Ioannina) MSC: 34K99 37-XX 34C37 92D25 45J05 47H20 PDF BibTeX XML Cite \textit{J. Wu}, J. Integral Equations Appl. 4, No. 2, 273--307 (1992; Zbl 0758.34059) Full Text: DOI OpenURL
Hirsch, Morris W. Systems of differential equations that are competitive or cooperative. VI: A local \(C^ r\) closing lemma for three-dimensional systems. (English) Zbl 0747.34027 Ergodic Theory Dyn. Syst. 11, No. 3, 443-454 (1991). MSC: 37-XX 34C30 34C25 PDF BibTeX XML Cite \textit{M. W. Hirsch}, Ergodic Theory Dyn. Syst. 11, No. 3, 443--454 (1991; Zbl 0747.34027) Full Text: DOI OpenURL
Szucs, Joseph M. Selection and mutation at a diallelic \(X\)-linked locus. (English) Zbl 0745.92017 J. Math. Biol. 29, No. 7, 587-627 (1991). Reviewer: G.Karigl (Wien) MSC: 92D10 92D15 PDF BibTeX XML Cite \textit{J. M. Szucs}, J. Math. Biol. 29, No. 7, 587--627 (1991; Zbl 0745.92017) Full Text: DOI OpenURL
Smith, Hal Microbial growth in periodic gradostats. (English) Zbl 0726.92025 Rocky Mt. J. Math. 20, No. 4, 1173-1194 (1990). Reviewer: Hal Smith MSC: 92D40 92C99 34C25 PDF BibTeX XML Cite \textit{H. Smith}, Rocky Mt. J. Math. 20, No. 4, 1173--1194 (1990; Zbl 0726.92025) Full Text: DOI OpenURL
Hirsch, Morris W. Systems of differential equations that are competitive or cooperative. V: Convergence in 3-dimensional systems. (English) Zbl 0712.34045 J. Differ. Equations 80, No. 1, 94-106 (1989). Reviewer: B.Aulbach MSC: 34C05 34D30 37-XX PDF BibTeX XML Cite \textit{M. W. Hirsch}, J. Differ. Equations 80, No. 1, 94--106 (1989; Zbl 0712.34045) Full Text: DOI OpenURL
Capietto, A.; Zanolin, F. An existence theorem for periodic solutions in convex sets with applications. (English) Zbl 0653.34029 Result. Math. 14, No. 1-2, 10-29 (1988). Reviewer: Anna Capietto (Torino) MSC: 34C25 34C29 47H10 PDF BibTeX XML Cite \textit{A. Capietto} and \textit{F. Zanolin}, Result. Math. 14, No. 1--2, 10--29 (1988; Zbl 0653.34029) Full Text: DOI OpenURL
Selgrade, James F.; Ziehe, Martin Convergence to equilibrium in a genetic model with differential viability between the sexes. (English) Zbl 0634.92008 J. Math. Biol. 25, 477-490 (1987). Reviewer: R.Bürger MSC: 92D10 PDF BibTeX XML Cite \textit{J. F. Selgrade} and \textit{M. Ziehe}, J. Math. Biol. 25, 477--490 (1987; Zbl 0634.92008) Full Text: DOI OpenURL
Smith, H. L. Cooperative systems of differential equations with concave nonlinearities. (English) Zbl 0612.34035 Nonlinear Anal., Theory Methods Appl. 10, 1037-1052 (1986). Reviewer: A.L.Edelson MSC: 34C25 34C11 34D40 PDF BibTeX XML Cite \textit{H. L. Smith}, Nonlinear Anal., Theory Methods Appl. 10, 1037--1052 (1986; Zbl 0612.34035) Full Text: DOI OpenURL
Smith, Hal L. Periodic competitive differential equations and the discrete dynamics of competitive maps. (English) Zbl 0596.34013 J. Differ. Equations 64, 165-194 (1986). MSC: 34C05 34C25 37-XX 92B05 PDF BibTeX XML Cite \textit{H. L. Smith}, J. Differ. Equations 64, 165--194 (1986; Zbl 0596.34013) Full Text: DOI OpenURL