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Large solutions of quasilinear elliptic system of competitive type: existence and asymptotic behavior.

Wei, Lin, Yang, Zuodong (2010)

International Journal of Differential Equations

Local Collapses in the Truscott-Brindley Model

I. Siekmann, H. Malchow (2008)

Mathematical Modelling of Natural Phenomena

Relaxation oscillations are limit cycles with two clearly different time scales. In this article the spatio-temporal dynamics of a standard prey-predator system in the parameter region of relaxation oscillation is investigated. Both prey and predator population are distributed irregularly at a relatively high average level between a maximal and a minimal value. However, the slowly developing complex pattern exhibits a feature of “inverse excitability”: Both populations show collapses which occur...

Long-Time Simulation of a Size-Structured Population Model with a Dynamical Resource

L. M. Abia, O. Angulo, J. C. López-Marcos, M. A. López-Marcos (2010)

Mathematical Modelling of Natural Phenomena

In this paper, we study the numerical approximation of a size-structured population model whose dependency on the environment is managed by the evolution of a vital resource. We show that this is a difficult task: some numerical methods are not suitable for a long-time integration. We analyze the reasons for the failure.

Displaying 1 – 3 of 3

Large solutions of quasilinear elliptic system of competitive type: existence and asymptotic behavior.

Local Collapses in the Truscott-Brindley Model

Long-Time Simulation of a Size-Structured Population Model with a Dynamical Resource

Currently displaying 1 – 3 of 3