Dynamics of the periodic type-K competitive Kolmogorov systems

Dynamics of the Periodic Type - K Competitive Kolmogorov Systems

For time-periodic dissipative and irreducible type-K competitive Kolmogorov systems, it is proved that there is a canonically defined countable family F of unordered, disjoint invariant sets with the property that, for every persistent trajectory whose ω-limit set is not a cycle, there exists a unique trajectory in some element of F such that these two trajectories are asymptotic and the corres...

The Long-run Behavior of Periodic Competitive Kolmogorov Systems †

Persistent trajectories of the Poincaré map T generated by the ndimensional periodic system ẋi = xiNi(t, x1, · · · , xn), xi ≥ 0, are studied under the assumptions that the system is dissipative, competitive and strongly competitive in C = {x : xi > 0}. The main result is that there is a canonically defined countable family of disjoint, totally invariant sets which attract all persistent trajec...

the investigation of the relationship between type a and type b personalities and quality of translation

چکیده ندارد.

Dynamics of a Class of Kolmogorov Systems

Carrying simplices in nonautonomous and random competitive Kolmogorov systems

The purpose of this paper is to investigate the asymptotic behavior of positive solutions of nonautonomous and random competitive Kolmogorov systems via the skew-product flows approach. It is shown that there exists an unordered carrying simplex which attracts all nontrivial positive orbits of the skewproduct flow associated with a nonautonomous (random) competitive Kolmogorov system. © 2008 El...