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Resultats globals: 15 registres trobats en 0.02 segons.
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Articles 15 registres trobats  1 - 10següent  anar al registre:
1.
14 p, 1.1 MB Planar Kolmogorov systems with infinitely many singular points at infinity / Diz-Pita, Érika (Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Otero-Espinar, M. Victoria (Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización)
We classify the global dynamics of the five-parameter family of planar Kolmogorov systems y˙ = y (b0 + b1yz + b2y + b3z), z˙ = z (c0 + b1yz + b2y + b3z), which is obtained from the Lotka-Volterra systems of dimension three. [...]
2022 - 10.1142/S0218127422500651
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 32, Issue 5 (April 2022) , art. 2250065  
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2.
38 p, 850.7 KB Phase portraits of a family of Kolmogorov systems depending on six parameters / Diz-Pita, Érika (Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Otero Espinar, Maria Victoria (Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización)
We consider a general 3-dimensional Lotka-Volterra system with a rational first integral of degree two of the form H = xi yj zk. The restriction of this Lotka-Volterra system to each surface H(x, y, z) = h varying h ∈ R provide Kolmogorov systems. [...]
2021
Electronic journal of differential equations, Vol. 2021, Issue 35 (2021) , p. 1-38
2 documents
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3.
7 p, 594.5 KB Periodic orbits bifurcating from a Hopf equilibrium of 2-dimensional polynomial Kolmogorov systems of arbitrary degree / Djedid, Djamila (University of Annaba. Department of Mathematics (Algeria)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (University of Annaba. Department of Mathematics (Algeria))
A Hopf equilibrium of a differential system in R2 is an equilibrium point whose linear part has eigenvalues ±ωi with ω ≠ 0. We provide necessary and sufficient conditions for the existence of a limit cycle bifurcating from a Hopf equilibrium of 2-dimensional polynomial Kolmogorov systems of arbitrary degree. [...]
2021 - 10.1016/j.chaos.2020.110489
Chaos, solitons and fractals, Vol. 142 (January 2021) , art. 110489  
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4.
20 p, 374.4 KB The zero-Hopf bifurcations in the Kolmogorov systems of degree 3 in R3 / Diz-Pita, Érika (Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Otero-Espinar, M. Victoria (Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática (Portugal))
In this work we study the periodic orbits which bifurcate from all zero-Hopf bifurcations that an arbitrary Kolmogorov system of degree 3 in R3 can exhibit. The main tool used is the averaging theory.
2021 - 10.1016/j.cnsns.2020.105621
Communications in nonlinear science and numerical simulation, Vol. 95 (April 2021) , art. 105621  
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5.
14 p, 632.3 KB Limit cycles bifurcating of Kolmogorov systems in R2 and in R3 / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Martínez, Y. Paulina (Centre de Recerca Matemàtica) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática)
In this work we consider the Kolmogorov system of degree 3 in R2 and R3 having an equilibrium point in the positive quadrant and octant, respectively. We provide sufficient conditions in order that the equilibrium point will be a Hopf point for the planar case and a zero-Hopf point for the spatial one. [...]
2020 - 10.1016/j.cnsns.2020.105401
Communications in nonlinear science and numerical simulation, Vol. 91 (December 2020) , art. 105401  
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6.
13 p, 4.1 MB Global dynamics of a Lotka-Volterra system in ℝ³ / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Martínez, Y. Paulina (Centre de Recerca Matemàtica) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica (Portugal))
In this work we consider the Lotka-Volterra system in R³ x˙ = −x(x − y − z), y˙ = −y(−x + y − z), z˙ = −z(−x − y + z), introduced recently in [7], and studied also in [8] and [14]. [...]
2020 - 10.1080/14029251.2020.1757240
Journal of Nonlinear Mathematical Physics, Vol. 27, Issue 3 (May 2020) , p. 509-519  
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7.
23 p, 338.8 KB Conservation laws in biochemical reaction networks / Mahdi, Adam (University of Oxford. Institute of Biomedical Engineering. Department of Engineering Science) ; Ferragut Amengual, Antoni Manel (Universitat Jaume I. Institut Universitari de Matemàtiques i Aplicacions de Castelló) ; Valls, Clàudia 1973- (Instituto Superior Técnico. Departamento de Matemática (Portugal)) ; Wiuf, Carsten (University of Copenhagen. Department of Mathematical Sciences)
We study the existence of linear and nonlinear conservation laws in biochemical reaction networks with mass-action kinetics. It is straightforward to compute the linear conservation laws as they are related to the left null-space of the stoichiometry matrix. [...]
2017 - 10.1137/17M1138418
SIAM Journal on Applied Dynamical Systems, Vol. 16, Issue 4 (2017) , p. 2213-2232  
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8.
11 p, 382.4 KB Final evolutions of a class of May-Leonard Lotka-Volterra systems / Buzzi, Claudio (Universidade Estadual Paulista. Departamento de Matemática (Brazil)) ; Santos, Robson A. T. (Universidade Estadual Paulista. Departamento de Matemática (Brazil)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We study a particular class of Lotka-Volterra 3-dimensional systems called May-Leonard systems, which depend on two real parameters a and b, when a + b = −1. For these values of the parameters we shall describe its global dynamics in the compactification of the non-negative octant of ℝ3 including its infinity. [...]
2020 - 10.1080/14029251.2020.1700635
Journal of Nonlinear Mathematical Physics, Vol. 27, Issue 2 (January 2020) , p. 267-278  
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9.
13 p, 380.0 KB Dynamics of some three-dimensional Lotka-Volterra systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Zhang, Xiang (Shanghai Jiao Tong University. School of Mathematical Sciences)
We characterize the dynamics of the following two Lotka-Volterra differential systems: ̇x=x(r+ay+bz), ̇x=x(r+ax+by+cz), ̇y=y(r−ax+cz),and ̇y=y(r+ax+dy+ez), ̇z=z(r−bx−cy), ̇z=z(r+ax+dy+fz). [...]
2017 - 10.1007/s00009-017-0927-5
Mediterranean Journal of Mathematics, Vol. 14, Issue 3 (June 2017) , art. 126  
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10.
17 p, 1.1 MB Hybrid approaches for multiple-species stochastic reaction-diffusion models / Spill, Fabian (Boston University. Department of Mechanical Engineering) ; Guerrero, Pilar (University College London. Department of Mathematics) ; Alarcón Cor, Tomás (Centre de Recerca Matemàtica) ; Maini, Philip K. (University of Oxford. Wolfson Centre for Mathematical Biology) ; Byrne, Helen (University of Oxford. Wolfson Centre for Mathematical Biology)
Reaction-diffusion models are used to describe systems in fields as diverse as physics, chemistry, ecology and biology. The fundamental quantities in such models are individual entities such as atoms and molecules, bacteria, cells or animals, which move and/or react in a stochastic manner. [...]
2015 - 10.1016/j.jcp.2015.07.002
Journal of computational physics, Vol. 299 (Oct. 2015) , p. 429-445  
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