Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Hüseyin Merdan"'
Publikováno v:
Journal of Computational and Applied Mathematics. 422:114910
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::47582f028fb8844a00354dec01e8d60a
https://doi.org/10.1016/j.cam.2022.114910
https://doi.org/10.1016/j.cam.2022.114910
Autor:
Ş. Bilazeroğlu, Hüseyin Merdan
We analyze Hopf bifurcation and its properties of a class of system of reaction-diffusion equations involving two discrete time delays. First, we discuss the existence of periodic solutions of this class under Neumann boundary conditions, and determi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9b480a5396cc9026d906d05eaab8eb38
http://hdl.handle.net/20.500.11851/4141
http://hdl.handle.net/20.500.11851/4141
Publikováno v:
Mathematical Modelling of Natural Phenomena. 12:120-145
We study stability and Hopf bifurcation analysis of a model that refers to the competition between the immune system and an aggressive host such as a tumor. The model which describes this competition is governed by a reaction-diffusion system includi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::75dc193b8170f0a08d20ba1f3eee0eb1
https://doi.org/10.1051/mmnp/201712508
https://doi.org/10.1051/mmnp/201712508
Publikováno v:
Nonlinear Dynamics. 85:1039-1051
We study the stability and Hopf bifurcation analysis of a coupled two-neuron system involving both discrete and distributed delays. First, we analyze stability of equilibrium point. Choosing delay term as a bifurcation parameter, we also show that Ho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::662c8f60679bec858e352203ca452b99
https://doi.org/10.1007/s11071-016-2742-0
https://doi.org/10.1007/s11071-016-2742-0
We consider a general first-order scalar difference equation with and without Allee effect. The model without Allee effect represents asexual reproduction of a species while the model including Allee effect represents sexual reproduction. We analyze
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5cda42dafcea9fd2b92a55134caa4d66
http://hdl.handle.net/20.500.11851/2941
http://hdl.handle.net/20.500.11851/2941
Autor:
S. Kayan, Hüseyin Merdan
We present an algorithm for determining the existence of a Hopf bifurcation of a system of delayed reaction–diffusion equations with the Neumann boundary conditions. The conditions on parameters of the system that a Hopf bifurcation occurs as the d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::688613d61ef92d355d5b0dc56a6cc194
http://hdl.handle.net/20.500.11851/1670
http://hdl.handle.net/20.500.11851/1670
Autor:
Hüseyin Merdan, S. Kayan
Publikováno v:
Nonlinear Dynamics. 79:1757-1770
We investigate bifurcations of the Lengyel-Epstein reaction-diffusion model involving time delay under the Neumann boundary conditions. Choosing the delay parameter as a bifurcation parameter, we show that Hopf bifurcation occurs. We also determine t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d9514a385a94413231993153eb624e90
https://doi.org/10.1007/s11071-014-1772-8
https://doi.org/10.1007/s11071-014-1772-8
Autor:
Esra Karaoglu, Hüseyin Merdan
Publikováno v:
Chaos, Solitons & Fractals. 68:159-168
In this paper we give a detailed Hopf bifurcation analysis of a ratio-dependent predator prey system involving two different discrete delays. By analyzing the characteristic equation associated with the model, its linear stability is investigated. Ch
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a2d6970e49cebe5fadfacb0c3cb22e20
https://doi.org/10.1016/j.chaos.2014.07.011
https://doi.org/10.1016/j.chaos.2014.07.011
Autor:
Albert C.J. Luo, Hüseyin Merdan
The book covers nonlinear physical problems and mathematical modeling, including molecular biology, genetics, neurosciences, artificial intelligence with classical problems in mechanics and astronomy and physics. The chapters present nonlinear mathem
Autor:
Canan Çelik, Hüseyin Merdan
Publikováno v:
Applied Mathematics and Computation. 219:6605-6617
In this paper, we have considered a system of delay differential equations. The system without delayed arises in the Lengyel-Epstein model. Its dynamics are studied in terms of local analysis and Hopf bifurcation analysis. Linear stability is investi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2611ab39b7d22646af780c87a23d5a46
https://doi.org/10.1016/j.amc.2012.12.063
https://doi.org/10.1016/j.amc.2012.12.063