Dynamics of Kolmogorov systems of competitive type under the telegraph noise
نویسندگان
چکیده
منابع مشابه
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...
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Evolution of Lotka-Volterra predator-prey systems under telegraph noise.
In this paper we study a Lotka-Volterra predator-prey system with prey logistic growth under the telegraph noise. The telegraph noise switches at random two prey-predator models. The aim of this work is to determine the subset of omega-limit set of the system and show out the existence of a stationary distribution. We also focus on persistence of the predator and thus we look for conditions tha...
متن کاملThe 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...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2011
ISSN: 0022-0396
DOI: 10.1016/j.jde.2010.08.023