AbstractFor the discrete-time dissipative competitive dynamical system on R+n, it is proved that, generically, there is a unique (n−1)-dim invariant carrying simplex attracting all nontrivial orbits, which solved the conjecture raised by H.L. Smith in 1986
For time-periodic dissipative and irreducible type-K competitive Kolmogorov systems, it is proved th...
There is a recent development in the carrying simplex theory for competitive maps: under some weaker...
AbstractFor time-periodic dissipative and irreducible type-K competitive Kolmogorov systems, it is p...
Abstract. For discrete competitive dynamical systems, amenable general conditions are presented to g...
AbstractThe paper is concerned with the question of smoothness of the carrying simplex S for a discr...
AbstractFor the discrete-time dissipative competitive dynamical system on R+n, it is proved that, ge...
AbstractFor strongly competitive discrete-time dynamical systems on a strongly ordered topological v...
This paper deals with global asymptotic behaviour of the dynamics for $N$-dimensional competitive Ko...
AbstractIn this paper we consider a class of dissipative competitive systems of ODEs on the nonnepti...
This monograph is devoted to the new results of research on standard essentially nonline...
For strongly competitive discrete-time dynamical systems on a strongly or-dered topological vector s...
In this paper we show that the dynamical behavior in R-+(3) (first octant) of the classical Kolmogor...
Modelling natural phenomena via Dynamical System Theory has become commonplace amongst mathematician...
Abstract: Persistent trajectories of the Poincar¶e map T generated by the n-dimensional periodic sys...
We propose the generalized competitive Atkinson-Allen map T-i(x) = (1+r(i))(1-c(i))x(i)/1+Sigma(n)(j...
For time-periodic dissipative and irreducible type-K competitive Kolmogorov systems, it is proved th...
There is a recent development in the carrying simplex theory for competitive maps: under some weaker...
AbstractFor time-periodic dissipative and irreducible type-K competitive Kolmogorov systems, it is p...
Abstract. For discrete competitive dynamical systems, amenable general conditions are presented to g...
AbstractThe paper is concerned with the question of smoothness of the carrying simplex S for a discr...
AbstractFor the discrete-time dissipative competitive dynamical system on R+n, it is proved that, ge...
AbstractFor strongly competitive discrete-time dynamical systems on a strongly ordered topological v...
This paper deals with global asymptotic behaviour of the dynamics for $N$-dimensional competitive Ko...
AbstractIn this paper we consider a class of dissipative competitive systems of ODEs on the nonnepti...
This monograph is devoted to the new results of research on standard essentially nonline...
For strongly competitive discrete-time dynamical systems on a strongly or-dered topological vector s...
In this paper we show that the dynamical behavior in R-+(3) (first octant) of the classical Kolmogor...
Modelling natural phenomena via Dynamical System Theory has become commonplace amongst mathematician...
Abstract: Persistent trajectories of the Poincar¶e map T generated by the n-dimensional periodic sys...
We propose the generalized competitive Atkinson-Allen map T-i(x) = (1+r(i))(1-c(i))x(i)/1+Sigma(n)(j...
For time-periodic dissipative and irreducible type-K competitive Kolmogorov systems, it is proved th...
There is a recent development in the carrying simplex theory for competitive maps: under some weaker...
AbstractFor time-periodic dissipative and irreducible type-K competitive Kolmogorov systems, it is p...
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