Best" nonlocal discretization method for 2-dimensional population models

Prelegent(ci)

Adam Korpusik

Afiliacja

Uniwersytet Warmińsko-Mazurski w Olsztynie

Termin

23 maja 2018 14:15

Pokój

p. 4050

Seminarium

Seminarium Zakładu Biomatematyki i Teorii Gier

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I will present a nonstandard finite difference method designed for numerical simulation of 2-dimensional mathematical models of population dynamics. The proposed method is based solely on the principle of nonlocal discretization. Independently of the chosen step-size of simulation, both the original population model and the discrete model derived by our method exhibit the same qualitative behaviour around asymptotically stable equilibrium points. The non-negativity of the solution and instability of equilibrium points is preserved as well. What is more, our preliminary simulations reveal that this method may also preserve stable limit cycles

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