25 citations · 37 across the 7 of their papers we have counts for
7 papers
Modelling physiologically structured populations: renewal equations and partial differential equations
Eugenia Franco, Odo Diekmann, Mats Gyllenberg
We analyse the long term behaviour of the measure-valued solutions of a class of linear renewal equations modelling physiologically structured populations. The renewal equations th…
Interactions between different predator-prey states. A method for the derivation of the functional and numerical response
Cecilia Berardo, Stefan Geritz, Mats Gyllenberg +1
In this paper we introduce a formal method for the derivation of a predator's functional response from a system of fast state transitions of the prey or predator on a time scale du…
Permanence and universal classification of discrete-time competitive systems via the carrying simplex
Mats Gyllenberg, Jifa Jiang, Lei Niu +1
We study the permanence and impermanence for discrete-time Kolmogorov systems admitting a carrying simplex. Sufficient conditions to guarantee permanence and impermanence are provi…
Characterizations of dominated splitting system and its relation to hyperbolicity
Chun Fang, Mats Gyllenberg, Shitao Liu
Hyperbolicity and dominated splitting are two of the most important concepts in the global analysis of differentiable dynamics. In this paper we give several equivalent characteriz…
Floquet bundles for tridiagonal competitive-cooperative systems with Applications
Chun Fang, Mats Gyllenberg, Yi Wang
For a general time-dependent linear competitive-cooperative tridiagonal system of differential equations, we obtain canonical Floquet invariant bundles which are exponentially sepa…
Group Actions on Monotone Skew-Product Semiflows with Applications
Feng Cao, Mats Gyllenberg, Yi Wang
We discuss a general framework of monotone skew-product semiflows under a connected group action. In a prior work, a compact connected group -action has been considered on a str…
Improving the false nearest neighbors method with graphical analysis
T. Aittokallio, M. Gyllenberg, J. Hietarinta +2
We introduce a graphical presentation for the false nearest neighbors (FNN) method. In the original method only the percentage of false neighbors is computed without regard to the…