We describe the dynamics of the 3-dimensional competitive Lotka-Volterra systems x˙=x(a−x−y−z), y˙=y(b−x−y−z), z˙=z(c−x−y−z), providing the phase portraits for all the values of the parameters a, b and c with 0 < a< b< c in the positive octant of the Poincaré ball
We consider the (n \Gamma 1)-dimensional Lotka-Volterra system (arising in biological modelling of s...
We extend the study of the integrability done by Leach and Miritzis (J Nonlinear Math Phys 13:535-54...
AbstractIt is known that for a three-species autonomous competitive Lotka-Volterra system where axia...
We describe the dynamics of the 3-dimensional competitive Lotka-Volterra systems x˙=x(a−x−y−z), y˙=y...
We characterize the dynamics of the following two Lotka-Volterra differential systems: ̇x=x(r+ay+bz)...
In this work we consider the Lotka-Volterra system in R³ x˙ = −x(x − y − z), y˙ = −y(−x + y − z), z˙...
We study a particular class of Lotka-Volterra 3-dimensional systems called May-Leonard systems, whic...
In this work we consider the Lotka-Volterra system in R³ x˙ = −x(x − y − z), y˙ = −y(−x + y − z), z˙...
We characterize the dynamics of the following two Lotka-Volterra differential systems: ̇x=x(r+ay+bz)...
Agraïments: The third author is supported by the grants AGAUR PIV-DGR-2010 and by FCT through the pr...
For stably dissipative Lotka{Volterra equations the dynamics on the attractor are Hamiltonian and we...
Altres ajuts: Consellería de Educación, Universidade e Formación Profesional (Xunta de Galicia), gra...
Altres ajuts: Consellería de Educación, Universidade e Formación Profesional (Xunta de Galicia), gra...
AbstractWe show that for stable dissipative Lotka–Volterra systems the dynamics on the attractor are...
AbstractIt is known that for a three-species autonomous competitive Lotka-Volterra system where axia...
We consider the (n \Gamma 1)-dimensional Lotka-Volterra system (arising in biological modelling of s...
We extend the study of the integrability done by Leach and Miritzis (J Nonlinear Math Phys 13:535-54...
AbstractIt is known that for a three-species autonomous competitive Lotka-Volterra system where axia...
We describe the dynamics of the 3-dimensional competitive Lotka-Volterra systems x˙=x(a−x−y−z), y˙=y...
We characterize the dynamics of the following two Lotka-Volterra differential systems: ̇x=x(r+ay+bz)...
In this work we consider the Lotka-Volterra system in R³ x˙ = −x(x − y − z), y˙ = −y(−x + y − z), z˙...
We study a particular class of Lotka-Volterra 3-dimensional systems called May-Leonard systems, whic...
In this work we consider the Lotka-Volterra system in R³ x˙ = −x(x − y − z), y˙ = −y(−x + y − z), z˙...
We characterize the dynamics of the following two Lotka-Volterra differential systems: ̇x=x(r+ay+bz)...
Agraïments: The third author is supported by the grants AGAUR PIV-DGR-2010 and by FCT through the pr...
For stably dissipative Lotka{Volterra equations the dynamics on the attractor are Hamiltonian and we...
Altres ajuts: Consellería de Educación, Universidade e Formación Profesional (Xunta de Galicia), gra...
Altres ajuts: Consellería de Educación, Universidade e Formación Profesional (Xunta de Galicia), gra...
AbstractWe show that for stable dissipative Lotka–Volterra systems the dynamics on the attractor are...
AbstractIt is known that for a three-species autonomous competitive Lotka-Volterra system where axia...
We consider the (n \Gamma 1)-dimensional Lotka-Volterra system (arising in biological modelling of s...
We extend the study of the integrability done by Leach and Miritzis (J Nonlinear Math Phys 13:535-54...
AbstractIt is known that for a three-species autonomous competitive Lotka-Volterra system where axia...
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