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Resultats globals: 4 registres trobats en 0.04 segons.
Articles, 4 registres trobats

Articles	4 registres trobats

9 p, 334.3 KB

Hopf periodic orbits for a ratio-dependent predator-prey model with stage structure / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Vidal, Claudio (Universidad del Bio Bio (Chile). Departamento de Matemática)
A ratio-dependent predator-prey model with stage structure for prey was investigated in [8]. There the authors mentioned that they were unable to show if such a model admits limit cycles when the unique equilibrium point E ∗ at the positive octant is unstable. [...]
2016 - DOI (Digital Object Identifier)

10.3934/dcdsb.2016026
Discrete and continuous dynamical systems. Series B, Vol. 21 Núm. 6 (2016) , p. 1859-1867

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8 p, 300.9 KB

Non-algebraic oscillations for predator-prey models / Ferragut Amengual, Antoni Manel (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We prove that the limit cycle oscillations of the celebrated Rosenzweig-MacArthur differential system and other predator-prey models are non-algebraic.
2014 - DOI (Digital Object Identifier)

10.5565/PUBLMAT_Extra14_11
Publicacions matemàtiques, Vol. Extra (2014) , p. 195-207

2 documents

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21 p, 380.8 KB

Global dynamics of a Lotka-Volterra model with two predators competing for one prey / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Xiao, Dongmei (Shanghai Jiao Tong University(China). Department of Mathematics)
In this paper we study the global dynamics of 3-dimensional predator prey Lotka-Volterra systems, which describes two predators competing for food or shared one resource. From theoretical analysis on all parameters of this system, we show that if the resource for prey is limited, then there exist some values of parameters such that two predators and one prey coexist and their population are asymptotic to steady states. [...]
2014 - DOI (Digital Object Identifier)

10.1137/130923907
SIAM Journal on Applied Mathematics, Vol. 74 Núm. 2 (2014) , p. 434-453

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9 p, 632.9 KB

Zero-Hopf bifurcation in a predator-prey model / Falconi, Manuel (UNAM(México). Departamento de Matemáticas) ; Gonzalez-Olivares, Eduardo (UNAM(México). Departamento de Matemáticas) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We study the competition between two species according the following modification of the Holling-Tanner II model x'= x[r(1 −x/K)−qy/x2 + a], y' = sy (1 −y/nx + c). Of course, x ≥ 0, y ≥ 0 and the parameters a, c, K, n, q, r and s are positive. [...]
2013
Scientiae Mathematicae Japonicae, Vol. 76 Núm. 1 (2013) , p. 119-127

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