Found 128 Documents (Results 1–100)
Qualitative structures near a degenerate fixed point of a discrete ratio-dependent predator-prey system. (English) Zbl 07859966
Reviewer: Eduardo Muñoz-Hernández (Madrid)
Global dynamics of modified discrete Lotka-Volterra model. (English) Zbl 1540.37110
Elaydi, Saber (ed.) et al., Advances in discrete dynamical systems, difference equations and applications. ICDEA 26, Sarajevo, Bosnia and Herzegovina, July 26–30, 2021. Proceedings of the 26th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 416, 309-338 (2023).
Geometry and global stability of 2D periodic monotone maps. (English) Zbl 1523.39007
Reviewer: Jonathan Hoseana (Bandung)
A global picture for the planar Ricker map: convergence to fixed points and identification of the stable/unstable manifolds. (English) Zbl 1519.39012
An augmented phase plane approach for discrete planar maps: introducing next-iterate operators. (English) Zbl 1507.37063
Nonexistence of observable chaos and its robustness in strongly monotone dynamical systems. (English) Zbl 1514.37042
Dynamics of a two-dimensional cooperative system of polynomial difference equationswith cubic terms. (English) Zbl 1513.39040
MSC:
39A30
Boundedness of solutions and stability of certain second-order difference equation with quadratic term. (English) Zbl 1487.39019
Stability of discrete-time coupled oscillators via quotient dynamics. (English) Zbl 1473.39031
Baigent, Steve (ed.) et al., Progress on difference equations and discrete dynamical systems. ICDEA 25, London, UK, June 24–28, 2019. Proceedings of the 25th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 341, 379-395 (2020).
Reviewer: Eszter Gselmann (Debrecen)
Global dynamics of a special class of nonlinear semelparous Leslie matrix models. (English) Zbl 1466.39015
Complexity and chaos control in a discrete-time Lotka-Volterra predator-prey system. (English) Zbl 1458.39010
Entrainment to subharmonic trajectories in oscillatory discrete-time systems. (English) Zbl 1440.93148
A sufficient condition for stability using slopes of isoclines in planar mappings. (English) Zbl 1435.92063
Permanence and universal classification of discrete-time competitive systems via the carrying simplex. (English) Zbl 1432.37116
On the dynamic consistency of a two-species competitive discrete system with toxicity: local and global analysis. (English) Zbl 1417.37278
Global dynamics of certain mix monotone difference equation via center manifold theory and theory of monotone maps. (English) Zbl 1449.39007
Global behavior of a discrete anticompetitive system in the plane. (English) Zbl 1453.39010
MSC:
39A30
On the dynamics of multi-species Ricker models admitting a carrying simplex. (English) Zbl 1429.37010
On the spectral properties of nonsingular matrices that are strictly sign-regular for some order with applications to totally positive discrete-time systems. (English) Zbl 1415.15008
Reviewer: Antoine Mhanna (Kfardebian)
Convex geometry of the carrying simplex for the May-Leonard map. (English) Zbl 1415.37059
Reviewer: Gaiane Panina (St. Petersburg)
The global dynamics of a discrete nonlinear hierarchical population system. (English) Zbl 1409.92196
Global asymptotic stability and Naimark-Sacker bifurcation of certain mix monotone difference equation. (English) Zbl 1417.39052
MSC:
39A28
Bifurcation analysis and chaos control in a second-order rational difference equation. (English) Zbl 1401.39014
On the classification of generalized competitive Atkinson-Allen models via the dynamics on the boundary of the carrying simplex. (English) Zbl 1381.37030
Reviewer: Carlo Laing (Auckland)
Bifurcation and global dynamics of a Leslie-Gower type competitive system of rational difference equations with quadratic terms. (English) Zbl 1470.39035
Local stability in 3D discrete dynamical systems: application to a Ricker competition model. (English) Zbl 1370.92139
Asymptotic dynamics of a modified discrete Leslie-Gower competition system. (English) Zbl 1376.92043
On the equivalent classification of three-dimensional competitive Leslie/Gower models via the boundary dynamics on the carrying simplex. (English) Zbl 1365.37063
Reviewer: Carlo Laing (Auckland)
Monotone dynamical systems: reflections on new advances & applications. (English) Zbl 1357.34002
Reviewer: Rodica Luca (Iaşi)
Basins of attraction of period-two solutions of monotone difference equations. (English) Zbl 1419.39004
Book review of: P. E. Hydon, Difference equations by differential equations methods. (English) Zbl 1347.00038
Dynamics of a generalized Ricker-Beverton-Holt competition model subject to Allee effects. (English) Zbl 1344.92139
Convexity of the carrying simplex for discrete-time planar competitive Kolmogorov systems. (English) Zbl 1343.93055
Global dynamics and bifurcation of a perturbed sigmoid Beverton-Holt difference equation. (English) Zbl 1342.39005
Global dynamics and bifurcations of certain second order rational difference equation with quadratic terms. (English) Zbl 1338.39008
Global dynamics of delay equations for populations with competition among immature individuals. (English) Zbl 1337.34080
Reviewer: Leonid Berezanski (Beer-Sheva)
On the equivalent classification of three-dimensional competitive Atkinson/Allen models relative to the boundary fixed points. (English) Zbl 1366.37049
Reviewer: Kwok-wai Chung (Hong Kong)
Competitive exclusion and coexistence in an \(n\)-species Ricker model. (English) Zbl 1448.92160
MSC:
92D25
Basins of attraction for two-species competitive model with quadratic terms and the singular Allee effect. (English) Zbl 1418.92087
Asymptotic dynamics of the Leslie-gower competition system with Allee effects and stocking. (English) Zbl 1351.37273
Global stability in the 2D Ricker equation. (English) Zbl 1341.39006
Reviewer: Vladimir Răsvan (Craiova)
Dynamics of a system of three interacting populations with Allee effects and stocking. (English) Zbl 1347.92062
Reviewer: Anatoli F. Ivanov (Lehman)
Dynamics of a two-dimensional competitive system of rational difference equations with quadratic terms. (English) Zbl 1417.39005
Analyzing periodic solutions of an ODE suspension bridge model using difference equations and polynomial methods. (English) Zbl 1389.39030
Basins of attraction of equilibrium and boundary points of second-order difference equations. (English) Zbl 1293.39006
Reviewer: Eszter Gselmann (Debrecen)
Global dynamics of triangular maps. (English) Zbl 1345.37025
Reviewer: Christian Pötzsche (Klagenfurt)
Local stability implies global stability for the planar Ricker competition model. (English) Zbl 1282.39016
Multiple attractors in a Leslie-Gower competition system with Allee effects. (English) Zbl 1311.92157
Stability and invariant manifolds of a generalized Beddington host-parasitoid model. (English) Zbl 1448.92206
The roles of conic sections and elliptic curves in the global dynamics of a class of planar systems of rational difference equations. (English) Zbl 1391.39001
MSC:
39A05
Global dynamics of an anti-competitive system of rational difference equations in the plane. (English) Zbl 1282.39012
Reviewer: Lothar Berg (Rostock)
Competitive exclusion and coexistence in a Leslie-Gower competition model with Allee effects. (English) Zbl 1387.92074
Global dynamics of three anticompetitive systems of difference equations in the plane. (English) Zbl 1264.39012
MSC:
39A22
Dynamically consistent discrete Lotka-Volterra competition systems. (English) Zbl 1264.39006
Reviewer: Bilender P. Allahverdiev (Isparta)
Exclusion and dominance in discrete population models via the carrying simplex. (English) Zbl 1303.92107
Basins of attraction of certain rational anti-competitive system of difference equations in the plane. (English) Zbl 1377.39030
Global behavior of a two-dimensional competitive system of difference equations with stocking. (English) Zbl 1255.39014
A variant of the Kreĭn-Rutman theorem for Poincaré difference equations. (English) Zbl 1262.39006
Reviewer: Ioannis Dassios (Thrakomakedones)
Basins of attraction of equilibrium points of second order difference equations. (English) Zbl 1252.39018
Global asymptotic behavior of a rational difference equation. (English) Zbl 1246.39008
Reviewer: Lothar Berg (Rostock)
Dynamics of a two-dimensional system of rational difference equations of Leslie-Gower type. (English) Zbl 1384.37031
Stability of a Ricker-type competition model and the competitive exclusion principle. (English) Zbl 1236.92070
Multiple attractors for a competitive system of rational difference equations in the plane. (English) Zbl 1252.39020
Dynamics of certain anti-competitive systems of rational difference equations in the plane. (English) Zbl 1243.39012
Reviewer: Roman Šimon Hilscher (Brno)
Competitive exclusion in a discrete juvenile-adult model with continuous and seasonal reproduction. (English) Zbl 1217.92078
Open problems and conjectures: Global results on rational systems in the plane. I. (English) Zbl 1218.39001
Attractor information for discrete dynamical systems by means of optimal discrete Galerkin bases. (English) Zbl 1195.65215
Filter Results by …
Document Type
- Journal Articles (126)
- Collection Articles (2)
all
top 5
Author
- Kulenović, Mustafa R. S. (36)
- Jiang, Jifa (10)
- Chow, Yunshyong (9)
- Jang, Sophia R.-J. (9)
- Pilav, Esmir (9)
- Elaydi, Saber Nasr (8)
- Nurkanovic, Mehmed (8)
- Kalabuši��, Senada (7)
- Luís, Rafael (7)
- Merino, Orlando (7)
- Niu, Lei (7)
- Cushing, Jim M. (6)
- Smith, Hal Leslie (6)
- Nurkanović, Zehra (5)
- Ryals, Brian (5)
- Ackleh, Azmy S. (4)
- Brett, Ann (4)
- Gyllenberg, Mats (4)
- Bilgin, Arzu (3)
- Cabral Balreira, Eduardo (3)
- Hadžiabdić, Vahidin (3)
- Moranjkić, Samra (3)
- Ruiz-Herrera, Alfonso (3)
- Yan, Ping (3)
- Baigent, Stephen A. (2)
- Basu, Sukanya (2)
- Camouzis, Elias (2)
- Garić-Demirović, Mirela (2)
- Henson, Shandelle Marie (2)
- Hu, Linxia (2)
- Kang, Yun (2)
- Ladas, Gerasimos E. (2)
- Liang, Xing (2)
- Margaliot, Michael (2)
- Mujić, Naida (2)
- Pituk, Mihály (2)
- Roeger, Lih-Ing Wu (2)
- Romero, Neptalí (2)
- Sacker, Robert J. (2)
- Salceanu, Paul Leonard (2)
- Sanz, Luis (2)
- Wang, Yi (2)
- Alseidi, Rola (1)
- Assas, Laila M. B. (1)
- Baigent, Steve (1)
- Bairagi, Nandadulal (1)
- Balanov, Zalman I. (1)
- Balreira, E. C. (1)
- Bektešević, Jasmin (1)
- Bertrand, Elliott (1)
- Bešo, Emin (1)
- Biswas, Milan (1)
- Blackburn, Chantel C. (1)
- Bravo de la Parra, Rafael (1)
- Burgic, Dzevad (1)
- Cao, Feng (1)
- CH-Chaoui, Mohamed (1)
- Chen, Goong (1)
- Chen, Huai (1)
- Chiquet, Ross A. (1)
- Clark, C. A. (1)
- Clark, Dean S. (1)
- Davydova, Natalia V. (1)
- Delgado, Jorge F. M. (1)
- Deng, Shengfu (1)
- Diekmann, Odo (1)
- Din, Qamar (1)
- DiPippo, Mark (1)
- Eladdadi, Amina (1)
- Elsadany, Abdelalim A. (1)
- Fridman, Emilia (1)
- Fu, Yanggeng (1)
- Garloff, Jürgen (1)
- Guzmán, Jairo (1)
- He, Wansheng (1)
- He, Zerong (1)
- Hirsch, Morris W. (1)
- Hou, Zhanyuan (1)
- Hsieh, June (1)
- Huang, Yu (1)
- Ibrahim, Samia (1)
- Ibrahim, Tarek Fawzi (1)
- Jašarević Hrustić, Sabina (1)
- Jašarević, S. (1)
- Jing, Zhujun (1)
- Jun, Glenn Lahodny (1)
- Kapcak, Sinan (1)
- Katz, Rami (1)
- Khan, Abdul Qadeer (1)
- Khyat, Toufik (1)
- Kon, Ryusuke (1)
- Krause, Ulrich (1)
- Kwessi, Eddy A. (1)
- Liu, Zhengrong (1)
- Livadiotis, George (1)
- Liz, Eduardo (1)
- Ma, Daowei (1)
- Marvá, Marcos (1)
- McArdle, David (1)
- Mehuljić, Midhat (1)
- and 31 more Authors
all
top 5
Serial
- J. Difference Equ. Appl. (37)
- Adv. Difference Equ. (12)
- J. Biol. Dyn. (10)
- Discrete Dyn. Nat. Soc. (9)
- Discrete Contin. Dyn. Syst., Ser. B (6)
- J. Math. Biol. (4)
- Discrete Contin. Dyn. Syst. (4)
- J. Math. Anal. Appl. (3)
- J. Differ. Equations (3)
- Math. Biosci. (2)
- Math. Methods Appl. Sci. (2)
- Chaos Solitons Fractals (2)
- Appl. Math. Comput. (2)
- Appl. Math. Lett. (2)
- J. Dyn. Differ. Equations (2)
- Int. J. Bifurcation Chaos Appl. Sci. Eng. (2)
- Abstr. Appl. Anal. (2)
- Qual. Theory Dyn. Syst. (2)
- Sarajevo J. Math. (2)
- Int. J. Biomath. (2)
- Appl. Anal. (1)
- Comput. Math. Appl. (1)
- Arch. Math. (1)
- Automatica (1)
- J. Comput. Appl. Math. (1)
- Math. Nachr. (1)
- Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods (1)
- Proc. Am. Math. Soc. (1)
- Math. Comput. Modelling (1)
- Nat. Resour. Model. (1)
- Acta Math. Sin., Engl. Ser. (1)
- Int. J. Nonlinear Sci. Numer. Simul. (1)
- Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms (1)
- Stoch. Dyn. (1)
- Fixed Point Theory Appl. (1)
- Eur. J. Pure Appl. Math. (1)
